34!31-1 trivially factors prime!: 101 (digits:3)
35!31-1 trivially factors prime!: 139 (digits:3)
36!31-1 trivially factors prime!: 179 (digits:3)
39!31-1 trivially factors prime!: 311 (digits:3)
40!31-1 trivially factors prime!: 359 (digits:3)
41!31-1 trivially factors prime!: 409 (digits:3)
42!31-1 trivially factors prime!: 461 (digits:3)
44!31-1 trivially factors prime!: 571 (digits:3)
47!31-1 trivially factors prime!: 751 (digits:3)
49!31-1 trivially factors prime!: 881 (digits:3)
51!31-1 trivially factors prime!: 1019 (digits:4)
52!31-1 trivially factors prime!: 1091 (digits:4)
55!31-1 trivially factors prime!: 1319 (digits:4)
56!31-1 trivially factors prime!: 1399 (digits:4)
57!31-1 trivially factors prime!: 1481 (digits:4)
66!31-1 trivially factors prime!: 9239 (digits:4)
69!31-1 trivially factors prime!: 18353 (digits:5)
70!31-1 trivially factors prime!: 21839 (digits:5)
74!31-1 trivially factors prime!: 38183 (digits:5)
75!31-1 trivially factors prime!: 42899 (digits:5)
77!31-1 trivially factors prime!: 53129 (digits:5)
81!31-1 trivially factors prime!: 76949 (digits:5)
82!31-1 trivially factors prime!: 83639 (digits:5)
84!31-1 trivially factors prime!: 97943 (digits:5)
95!31-1 trivially factors prime!: 401279 (digits:6)
98!31-1 trivially factors prime!: 1181879 (digits:7)
100!31-1 trivially factors prime!: 1835399 (digits:7)
101!31-1 trivially factors prime!: 2205839 (digits:7)
105!31-1 trivially factors prime!: 4009319 (digits:7)
109!31-1 trivially factors prime!: 6393503 (digits:7)
110!31-1 trivially factors prime!: 7091039 (digits:7)
111!31-1 trivially factors prime!: 7832159 (digits:7)
113!31-1 trivially factors prime!: 9451319 (digits:7)
114!31-1 trivially factors prime!: 10332503 (digits:8)
115!31-1 trivially factors prime!: 11263559 (digits:8)
116!31-1 trivially factors prime!: 12246119 (digits:8)
118!31-1 trivially factors prime!: 14372399 (digits:8)
120!31-1 trivially factors prime!: 16724879 (digits:8)
124!31-1 trivially factors prime!: 22164503 (digits:8)
135!31-1 trivially factors prime!: 473513039 (digits:9)
138!31-1 trivially factors prime!: 706996079 (digits:9)
142!31-1 trivially factors prime!: 1112166719 (digits:10)
143!31-1 trivially factors prime!: 1232431199 (digits:10)
147!31-1 trivially factors prime!: 1800179639 (digits:10)
154!31-1 trivially factors prime!: 3189075119 (digits:10)
155!31-1 trivially factors prime!: 3435498119 (digits:10)

 Primality testing 169!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 small number, factored prime!
 169!31-1 is prime! (0.0126s+0.0052s)(digits:12)

 Primality testing 179!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 small number, factored prime!
 179!31-1 is prime! (0.0136s+0.0050s)(digits:12)

 Primality testing 182!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 small number, factored prime!
 182!31-1 is prime! (0.0133s+0.0069s)(digits:12)

 Primality testing 191!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11
 Running N+1 test using discriminant 19, base 1+sqrt(19)
 Running N+1 test using discriminant 19, base 2+sqrt(19)
 Calling N+1 BLS with factored part 100.00% and helper 23.81% (323.81% proof)
 191!31-1 is prime! (0.0417s+0.0015s)(digits:13)

 Primality testing 202!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11
 Running N+1 test using discriminant 17, base 1+sqrt(17)
 Running N+1 test using discriminant 17, base 2+sqrt(17)
 Calling N+1 BLS with factored part 100.00% and helper 9.09% (313.64% proof)
 202!31-1 is prime! (0.0415s+0.0014s)(digits:14)

 Primality testing 204!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13
 Running N+1 test using discriminant 23, base 1+sqrt(23)
 Running N+1 test using discriminant 23, base 2+sqrt(23)
 Calling N+1 BLS with factored part 100.00% and helper 17.78% (320.00% proof)
 204!31-1 is prime! (0.0414s+0.0015s)(digits:14)

 Primality testing 209!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Calling Brillhart-Lehmer-Selfridge with factored part 40.00%
 209!31-1 is prime! (0.0030s+0.0002s)(digits:14)

 Primality testing 221!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 59, base 1+sqrt(59)
 Running N+1 test using discriminant 59, base 2+sqrt(59)
 Calling N+1 BLS with factored part 100.00% and helper 10.20% (314.29% proof)
 221!31-1 is prime! (0.0415s+0.0015s)(digits:15)

 Primality testing 222!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11
 Running N+1 test using discriminant 19, base 1+sqrt(19)
 Running N+1 test using discriminant 19, base 2+sqrt(19)
 Calling N+1 BLS with factored part 100.00% and helper 18.37% (324.49% proof)
 222!31-1 is prime! (0.0072s+0.0016s)(digits:16)

 Primality testing 225!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 23
 Running N+1 test using discriminant 37, base 1+sqrt(37)
 Running N+1 test using discriminant 37, base 2+sqrt(37)
 Calling N+1 BLS with factored part 100.00% and helper 2.00% (306.00% proof)
 225!31-1 is prime! (0.0076s+0.0012s)(digits:16)

 Primality testing 226!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11
 Calling Brillhart-Lehmer-Selfridge with factored part 29.41%
 226!31-1 is prime! (0.0077s+0.0041s)(digits:16)

 Primality testing 238!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 16.98% (320.75% proof)
 238!31-1 is prime! (0.0073s+0.0014s)(digits:17)

 Primality testing 242!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13
 Running N+1 test using discriminant 19, base 1+sqrt(19)
 Running N+1 test using discriminant 19, base 2+sqrt(19)
 Calling N+1 BLS with factored part 100.00% and helper 1.85% (301.85% proof)
 242!31-1 is prime! (0.0078s+0.0010s)(digits:17)

 Primality testing 250!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13
 Calling Brillhart-Lehmer-Selfridge with factored part 42.86%
 250!31-1 is prime! (0.0088s+0.0070s)(digits:17)

 Primality testing 255!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Running N+1 test using discriminant 31, base 2+sqrt(31)
 Calling N+1 BLS with factored part 100.00% and helper 1.72% (303.45% proof)
 255!31-1 is prime! (0.0069s+0.0010s)(digits:18)

 Primality testing 262!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 17
 Running N+1 test using discriminant 29, base 1+sqrt(29)
 Running N+1 test using discriminant 29, base 2+sqrt(29)
 Calling N+1 BLS with factored part 100.00% and helper 23.33% (325.00% proof)
 262!31-1 is prime! (0.0076s+0.0010s)(digits:19)

 Primality testing 264!31-1 [N-1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 17
 Calling Brillhart-Lehmer-Selfridge with factored part 35.00%
 264!31-1 is prime! (0.0088s+0.0075s)(digits:19)

 Primality testing 267!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 17
 Running N+1 test using discriminant 23, base 1+sqrt(23)
 Running N+1 test using discriminant 23, base 2+sqrt(23)
 Calling N+1 BLS with factored part 100.00% and helper 16.39% (318.03% proof)
 267!31-1 is prime! (0.0078s+0.0011s)(digits:19)

 Primality testing 282!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 29, base 1+sqrt(29)
 Running N+1 test using discriminant 29, base 2+sqrt(29)
 Calling N+1 BLS with factored part 100.00% and helper 13.85% (313.85% proof)
 282!31-1 is prime! (0.0074s+0.0011s)(digits:20)

 Primality testing 284!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Running N+1 test using discriminant 31, base 2+sqrt(31)
 Calling N+1 BLS with factored part 100.00% and helper 1.52% (301.52% proof)
 284!31-1 is prime! (0.0078s+0.0020s)(digits:20)

 Primality testing 290!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 17
 Running N+1 test using discriminant 23, base 1+sqrt(23)
 Running N+1 test using discriminant 23, base 2+sqrt(23)
 Calling N+1 BLS with factored part 100.00% and helper 1.49% (304.48% proof)
 290!31-1 is prime! (0.0070s+0.0019s)(digits:21)

 Primality testing 298!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 47, base 1+sqrt(47)
 Running N+1 test using discriminant 47, base 2+sqrt(47)
 Calling N+1 BLS with factored part 100.00% and helper 13.04% (315.94% proof)
 298!31-1 is prime! (0.0071s+0.0018s)(digits:21)

 Primality testing 327!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 2+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 1.30% (302.60% proof)
 327!31-1 is prime! (0.0088s+0.0013s)(digits:24)

 Primality testing 329!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 11.69% (314.29% proof)
 329!31-1 is prime! (0.0087s+0.0011s)(digits:24)

 Primality testing 340!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 29
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 1.27% (302.53% proof)
 340!31-1 is prime! (0.0073s+0.0012s)(digits:24)

 Primality testing 350!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 23
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Running N+1 test using discriminant 31, base 2+sqrt(31)
 Calling N+1 BLS with factored part 100.00% and helper 5.95% (307.14% proof)
 350!31-1 is prime! (0.0088s+0.0011s)(digits:26)

 Primality testing 353!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 2+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 1.19% (303.57% proof)
 353!31-1 is prime! (0.0068s+0.0012s)(digits:26)

 Primality testing 359!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13
 Running N+1 test using discriminant 23, base 1+sqrt(23)
 Running N+1 test using discriminant 23, base 2+sqrt(23)
 Calling N+1 BLS with factored part 100.00% and helper 6.98% (308.14% proof)
 359!31-1 is prime! (0.0083s+0.0011s)(digits:26)

 Primality testing 395!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 1.05% (303.16% proof)
 395!31-1 is prime! (0.0084s+0.0015s)(digits:29)

 Primality testing 405!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 23
 Running N+1 test using discriminant 37, base 1+sqrt(37)
 Running N+1 test using discriminant 37, base 2+sqrt(37)
 Calling N+1 BLS with factored part 100.00% and helper 1.02% (301.02% proof)
 405!31-1 is prime! (0.0080s+0.0012s)(digits:30)

 Primality testing 434!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 23
 Running N+1 test using discriminant 37, base 1+sqrt(37)
 Running N+1 test using discriminant 37, base 2+sqrt(37)
 Calling N+1 BLS with factored part 100.00% and helper 16.19% (318.10% proof)
 434!31-1 is prime! (0.0074s+0.0018s)(digits:32)

 Primality testing 468!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 59, base 1+sqrt(59)
 Running N+1 test using discriminant 59, base 2+sqrt(59)
 Calling N+1 BLS with factored part 100.00% and helper 0.86% (301.72% proof)
 468!31-1 is prime! (0.0082s+0.0011s)(digits:36)

 Primality testing 470!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Running N+1 test using discriminant 31, base 2+sqrt(31)
 Calling N+1 BLS with factored part 100.00% and helper 8.55% (310.26% proof)
 470!31-1 is prime! (0.0078s+0.0015s)(digits:36)

 Primality testing 492!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 47, base 1+sqrt(47)
 Running N+1 test using discriminant 47, base 2+sqrt(47)
 Calling N+1 BLS with factored part 100.00% and helper 0.82% (302.46% proof)
 492!31-1 is prime! (0.0086s+0.0011s)(digits:37)

 Primality testing 500!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 59
 Running N+1 test using discriminant 71, base 1+sqrt(71)
 Running N+1 test using discriminant 71, base 2+sqrt(71)
 Calling N+1 BLS with factored part 100.00% and helper 0.79% (300.79% proof)
 500!31-1 is prime! (0.0077s+0.0017s)(digits:38)

 Primality testing 503!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.79% (301.57% proof)
 503!31-1 is prime! (0.0093s+0.0010s)(digits:39)

 Primality testing 508!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Running N+1 test using discriminant 31, base 2+sqrt(31)
 Calling N+1 BLS with factored part 100.00% and helper 6.25% (308.59% proof)
 508!31-1 is prime! (0.0094s+0.0012s)(digits:39)

 Primality testing 514!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 53
 Running N+1 test using discriminant 79, base 1+sqrt(79)
 Running N+1 test using discriminant 79, base 2+sqrt(79)
 Calling N+1 BLS with factored part 100.00% and helper 0.77% (300.77% proof)
 514!31-1 is prime! (0.0091s+0.0011s)(digits:40)

 Primality testing 515!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.77% (301.54% proof)
 515!31-1 is prime! (0.0090s+0.0015s)(digits:40)

 Primality testing 519!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 2+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 0.76% (300.76% proof)
 519!31-1 is prime! (0.0657s+0.0227s)(digits:40)

 Primality testing 539!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 19
 Running N+1 test using discriminant 29, base 1+sqrt(29)
 Running N+1 test using discriminant 29, base 2+sqrt(29)
 Calling N+1 BLS with factored part 100.00% and helper 7.30% (308.76% proof)
 539!31-1 is prime! (0.0751s+0.0017s)(digits:42)

 Primality testing 541!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.72% (301.45% proof)
 541!31-1 is prime! (0.0656s+0.0226s)(digits:42)

 Primality testing 547!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 89, base 1+sqrt(89)
 Running N+1 test using discriminant 89, base 2+sqrt(89)
 Calling N+1 BLS with factored part 100.00% and helper 16.55% (317.99% proof)
 547!31-1 is prime! (0.0752s+0.0017s)(digits:43)

 Primality testing 602!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 41
 Running N+1 test using discriminant 47, base 1+sqrt(47)
 Running N+1 test using discriminant 47, base 2+sqrt(47)
 Calling N+1 BLS with factored part 100.00% and helper 0.64% (301.28% proof)
 602!31-1 is prime! (0.0365s+0.0141s)(digits:48)

 Primality testing 606!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 67, base 1+sqrt(67)
 Running N+1 test using discriminant 67, base 2+sqrt(67)
 Calling N+1 BLS with factored part 100.00% and helper 0.64% (301.27% proof)
 606!31-1 is prime! (0.0455s+0.0118s)(digits:48)

 Primality testing 607!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 29
 Running N+1 test using discriminant 59, base 2+sqrt(59)
 Running N+1 test using discriminant 59, base 3+sqrt(59)
 Calling N+1 BLS with factored part 100.00% and helper 4.46% (305.73% proof)
 607!31-1 is prime! (0.0364s+0.0142s)(digits:48)

 Primality testing 622!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 9.94% (310.56% proof)
 622!31-1 is prime! (0.0456s+0.0117s)(digits:49)

 Primality testing 663!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 47
 Running N+1 test using discriminant 61, base 1+sqrt(61)
 Running N+1 test using discriminant 61, base 2+sqrt(61)
 Calling N+1 BLS with factored part 100.00% and helper 5.17% (306.90% proof)
 663!31-1 is prime! (0.0364s+0.0098s)(digits:53)

 Primality testing 717!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 29
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 2+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 8.38% (308.38% proof)
 717!31-1 is prime! (0.0411s+0.0054s)(digits:58)

 Primality testing 728!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 47, base 1+sqrt(47)
 Running N+1 test using discriminant 47, base 2+sqrt(47)
 Calling N+1 BLS with factored part 100.00% and helper 7.73% (308.76% proof)
 728!31-1 is prime! (0.0365s+0.0098s)(digits:59)

 Primality testing 733!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.51% (301.54% proof)
 733!31-1 is prime! (0.0411s+0.0053s)(digits:59)

 Primality testing 763!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 4.39% (304.88% proof)
 763!31-1 is prime! (0.0384s+0.0101s)(digits:62)

 Primality testing 789!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 3+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 3.29% (304.23% proof)
 789!31-1 is prime! (0.0409s+0.0060s)(digits:65)

 Primality testing 830!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 41, base 1+sqrt(41)
 Running N+1 test using discriminant 41, base 2+sqrt(41)
 Calling N+1 BLS with factored part 100.00% and helper 0.44% (300.89% proof)
 830!31-1 is prime! (0.0383s+0.0102s)(digits:68)

 Primality testing 832!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 37
 Running N+1 test using discriminant 83, base 1+sqrt(83)
 Running N+1 test using discriminant 83, base 2+sqrt(83)
 Calling N+1 BLS with factored part 100.00% and helper 0.44% (301.33% proof)
 832!31-1 is prime! (0.0410s+0.0059s)(digits:69)

 Primality testing 853!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 43
 Running N+1 test using discriminant 61, base 1+sqrt(61)
 Running N+1 test using discriminant 61, base 2+sqrt(61)
 Calling N+1 BLS with factored part 100.00% and helper 0.43% (300.86% proof)
 853!31-1 is prime! (0.0399s+0.0083s)(digits:71)

 Primality testing 883!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.41% (300.41% proof)
 883!31-1 is prime! (0.0415s+0.0076s)(digits:74)

 Primality testing 888!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 83
 Running N+1 test using discriminant 101, base 1+sqrt(101)
 Running N+1 test using discriminant 101, base 2+sqrt(101)
 Calling N+1 BLS with factored part 100.00% and helper 6.97% (307.38% proof)
 888!31-1 is prime! (0.0403s+0.0078s)(digits:74)

 Primality testing 892!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 79
 Running N+1 test using discriminant 89, base 1+sqrt(89)
 Running N+1 test using discriminant 89, base 2+sqrt(89)
 Calling N+1 BLS with factored part 100.00% and helper 0.41% (300.41% proof)
 892!31-1 is prime! (0.0416s+0.0075s)(digits:74)

 Primality testing 942!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 41
 Running N+1 test using discriminant 47, base 1+sqrt(47)
 Running N+1 test using discriminant 47, base 2+sqrt(47)
 Calling N+1 BLS with factored part 100.00% and helper 3.44% (303.44% proof)
 942!31-1 is prime! (0.0507s+0.0104s)(digits:79)

 Primality testing 957!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 67
 Running N+1 test using discriminant 79, base 1+sqrt(79)
 Running N+1 test using discriminant 79, base 2+sqrt(79)
 Calling N+1 BLS with factored part 100.00% and helper 3.02% (303.77% proof)
 957!31-1 is prime! (0.0512s+0.0062s)(digits:80)

 Primality testing 994!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 0.36% (300.72% proof)
 994!31-1 is prime! (0.0507s+0.0104s)(digits:84)

 Primality testing 1004!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 47
 Running N+1 test using discriminant 59, base 1+sqrt(59)
 Running N+1 test using discriminant 59, base 2+sqrt(59)
 Calling N+1 BLS with factored part 100.00% and helper 3.56% (304.63% proof)
 1004!31-1 is prime! (0.0523s+0.0058s)(digits:85)

 Primality testing 1073!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 2.97% (303.96% proof)
 1073!31-1 is prime! (0.0476s+0.0074s)(digits:92)

 Primality testing 1125!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.31% (300.31% proof)
 1125!31-1 is prime! (0.0620s+0.0045s)(digits:97)

 Primality testing 1130!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 43, base 1+sqrt(43)
 Running N+1 test using discriminant 43, base 2+sqrt(43)
 Calling N+1 BLS with factored part 100.00% and helper 0.31% (300.93% proof)
 1130!31-1 is prime! (0.0556s+0.0075s)(digits:98)

 Primality testing 1187!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 53
 Running N+1 test using discriminant 73, base 1+sqrt(73)
 Running N+1 test using discriminant 73, base 2+sqrt(73)
 Calling N+1 BLS with factored part 94.13% and helper 0.29% (282.99% proof)
 1187!31-1 is prime! (0.0565s+0.0077s)(digits:103)

 Primality testing 1219!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 97, base 1+sqrt(97)
 Running N+1 test using discriminant 97, base 3+sqrt(97)
 Calling N+1 BLS with factored part 100.00% and helper 0.28% (300.28% proof)
 1219!31-1 is prime! (0.0468s+0.0024s)(digits:107)

 Primality testing 1268!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 101
 Running N+1 test using discriminant 109, base 1+sqrt(109)
 Running N+1 test using discriminant 109, base 2+sqrt(109)
 Calling N+1 BLS with factored part 94.28% and helper 0.27% (283.65% proof)
 1268!31-1 is prime! (0.0420s+0.0112s)(digits:111)

 Primality testing 1302!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 43
 Running N+1 test using discriminant 53, base 1+sqrt(53)
 Running N+1 test using discriminant 53, base 2+sqrt(53)
 Calling N+1 BLS with factored part 100.00% and helper 0.27% (300.80% proof)
 1302!31-1 is prime! (0.0339s+0.0131s)(digits:114)

 Primality testing 1316!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 53
 Running N+1 test using discriminant 97, base 1+sqrt(97)
 Running N+1 test using discriminant 97, base 2+sqrt(97)
 Calling N+1 BLS with factored part 100.00% and helper 0.26% (300.52% proof)
 1316!31-1 is prime! (0.0416s+0.0072s)(digits:116)

 Primality testing 1319!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 67, base 1+sqrt(67)
 Running N+1 test using discriminant 67, base 2+sqrt(67)
 Calling N+1 BLS with factored part 94.55% and helper 4.16% (288.57% proof)
 1319!31-1 is prime! (0.0438s+0.0055s)(digits:116)

 Primality testing 1341!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 71
 Running N+1 test using discriminant 83, base 1+sqrt(83)
 Running N+1 test using discriminant 83, base 2+sqrt(83)
 Calling N+1 BLS with factored part 89.80% and helper 0.26% (269.64% proof)
 1341!31-1 is prime! (0.0439s+0.0096s)(digits:119)

 Primality testing 1345!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 59
 Running N+1 test using discriminant 71, base 1+sqrt(71)
 Running N+1 test using discriminant 71, base 2+sqrt(71)
 Calling N+1 BLS with factored part 94.67% and helper 0.25% (284.77% proof)
 1345!31-1 is prime! (0.0440s+0.0096s)(digits:119)

 Primality testing 1361!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 79, base 1+sqrt(79)
 Running N+1 test using discriminant 79, base 2+sqrt(79)
 Calling N+1 BLS with factored part 92.21% and helper 0.25% (277.14% proof)
 1361!31-1 is prime! (0.0437s+0.0054s)(digits:120)

 Primality testing 1362!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 73
 Running N+1 test using discriminant 83, base 1+sqrt(83)
 Running N+1 test using discriminant 83, base 2+sqrt(83)
 Calling N+1 BLS with factored part 100.00% and helper 0.25% (300.50% proof)
 1362!31-1 is prime! (0.0430s+0.0058s)(digits:120)

 Primality testing 1440!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 79, base 1+sqrt(79)
 Running N+1 test using discriminant 79, base 2+sqrt(79)
 Calling N+1 BLS with factored part 95.07% and helper 0.23% (285.68% proof)
 1440!31-1 is prime! (0.0395s+0.0092s)(digits:129)

 Primality testing 1466!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 73
 Running N+1 test using discriminant 131, base 1+sqrt(131)
 Running N+1 test using discriminant 131, base 2+sqrt(131)
 Calling N+1 BLS with factored part 90.57% and helper 4.14% (275.86% proof)
 1466!31-1 is prime! (0.0384s+0.0096s)(digits:131)

 Primality testing 1469!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 71, base 1+sqrt(71)
 Running N+1 test using discriminant 71, base 2+sqrt(71)
 Calling N+1 BLS with factored part 95.18% and helper 0.23% (286.24% proof)
 1469!31-1 is prime! (0.0430s+0.0058s)(digits:132)

 Primality testing 1474!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 89
 Running N+1 test using discriminant 107, base 1+sqrt(107)
 Running N+1 test using discriminant 107, base 2+sqrt(107)
 Calling N+1 BLS with factored part 92.91% and helper 0.23% (279.41% proof)
 1474!31-1 is prime! (0.0469s+0.0051s)(digits:132)

 Primality testing 1494!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 59, base 1+sqrt(59)
 Running N+1 test using discriminant 59, base 2+sqrt(59)
 Calling N+1 BLS with factored part 93.02% and helper 0.23% (279.73% proof)
 1494!31-1 is prime! (0.0387s+0.0135s)(digits:134)

 Primality testing 1536!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 71, base 1+sqrt(71)
 Running N+1 test using discriminant 71, base 2+sqrt(71)
 Calling N+1 BLS with factored part 93.23% and helper 0.22% (280.35% proof)
 1536!31-1 is prime! (0.0429s+0.0100s)(digits:139)

 Primality testing 1547!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 83, base 1+sqrt(83)
 Running N+1 test using discriminant 83, base 2+sqrt(83)
 Calling N+1 BLS with factored part 91.11% and helper 1.95% (275.49% proof)
 1547!31-1 is prime! (0.0459s+0.0053s)(digits:139)

 Primality testing 1564!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 127, base 1+sqrt(127)
 Running N+1 test using discriminant 127, base 2+sqrt(127)
 Calling N+1 BLS with factored part 93.38% and helper 0.21% (280.34% proof)
 1564!31-1 is prime! (0.0445s+0.0073s)(digits:142)

 Primality testing 1579!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 73, base 1+sqrt(73)
 Running N+1 test using discriminant 73, base 2+sqrt(73)
 Calling N+1 BLS with factored part 95.55% and helper 0.21% (287.08% proof)
 1579!31-1 is prime! (0.0440s+0.0115s)(digits:143)

 Primality testing 1589!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 71, base 1+sqrt(71)
 Running N+1 test using discriminant 71, base 2+sqrt(71)
 Calling N+1 BLS with factored part 91.40% and helper 4.61% (279.04% proof)
 1589!31-1 is prime! (0.0373s+0.0119s)(digits:144)

 Primality testing 1604!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 101, base 1+sqrt(101)
 Running N+1 test using discriminant 101, base 2+sqrt(101)
 Calling N+1 BLS with factored part 95.63% and helper 1.04% (288.36% proof)
 1604!31-1 is prime! (0.0395s+0.0041s)(digits:145)

 Primality testing 1654!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 67, base 1+sqrt(67)
 Running N+1 test using discriminant 67, base 2+sqrt(67)
 Calling N+1 BLS with factored part 100.00% and helper 0.20% (300.40% proof)
 1654!31-1 is prime! (0.0454s+0.0040s)(digits:151)

 Primality testing 1687!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 89, base 1+sqrt(89)
 Running N+1 test using discriminant 89, base 2+sqrt(89)
 Calling N+1 BLS with factored part 96.08% and helper 0.20% (288.43% proof)
 1687!31-1 is prime! (0.0401s+0.0079s)(digits:154)

 Primality testing 1701!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 73
 Running N+1 test using discriminant 137, base 1+sqrt(137)
 Running N+1 test using discriminant 137, base 2+sqrt(137)
 Calling N+1 BLS with factored part 95.91% and helper 0.19% (288.33% proof)
 1701!31-1 is prime! (0.0456s+0.0087s)(digits:155)

 Primality testing 1752!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 67, base 1+sqrt(67)
 Running N+1 test using discriminant 67, base 2+sqrt(67)
 Calling N+1 BLS with factored part 92.12% and helper 0.19% (276.92% proof)
 1752!31-1 is prime! (0.0395s+0.0067s)(digits:161)

 Primality testing 1809!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 103, base 1+sqrt(103)
 Running N+1 test using discriminant 103, base 2+sqrt(103)
 Calling N+1 BLS with factored part 96.20% and helper 0.18% (288.79% proof)
 1809!31-1 is prime! (0.0369s+0.0026s)(digits:167)

 Primality testing 1873!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 71
 Running N+1 test using discriminant 101, base 1+sqrt(101)
 Running N+1 test using discriminant 101, base 2+sqrt(101)
 Calling N+1 BLS with factored part 92.70% and helper 0.17% (278.43% proof)
 1873!31-1 is prime! (0.0425s+0.0060s)(digits:174)

 Primality testing 2085!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 89
 Running N+1 test using discriminant 151, base 1+sqrt(151)
 Running N+1 test using discriminant 151, base 2+sqrt(151)
 Calling N+1 BLS with factored part 93.85% and helper 0.15% (281.69% proof)
 2085!31-1 is prime! (0.0530s+0.0059s)(digits:196)

 Primality testing 2163!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 89
 Running N+1 test using discriminant 113, base 1+sqrt(113)
 Running N+1 test using discriminant 113, base 2+sqrt(113)
 Calling N+1 BLS with factored part 90.69% and helper 0.15% (272.38% proof)
 2163!31-1 is prime! (0.0570s+0.0027s)(digits:204)

 Primality testing 2214!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 103, base 1+sqrt(103)
 Running N+1 test using discriminant 103, base 2+sqrt(103)
 Calling N+1 BLS with factored part 92.39% and helper 0.14% (277.44% proof)
 2214!31-1 is prime! (0.0468s+0.0020s)(digits:210)

 Primality testing 2268!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 151
 Running N+1 test using discriminant 193, base 1+sqrt(193)
 Running N+1 test using discriminant 193, base 2+sqrt(193)
 Calling N+1 BLS with factored part 91.06% and helper 0.14% (273.32% proof)
 2268!31-1 is prime! (0.0460s+0.0050s)(digits:216)

 Primality testing 2274!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 109
 Running N+1 test using discriminant 157, base 1+sqrt(157)
 Running N+1 test using discriminant 157, base 2+sqrt(157)
 Calling N+1 BLS with factored part 91.09% and helper 0.14% (273.40% proof)
 2274!31-1 is prime! (0.0423s+0.0074s)(digits:217)

 Primality testing 2300!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 107
 Running N+1 test using discriminant 113, base 1+sqrt(113)
 Running N+1 test using discriminant 113, base 2+sqrt(113)
 Calling N+1 BLS with factored part 91.20% and helper 0.14% (274.00% proof)
 2300!31-1 is prime! (0.0444s+0.0074s)(digits:220)

 Primality testing 2473!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 113, base 1+sqrt(113)
 Running N+1 test using discriminant 113, base 2+sqrt(113)
 Calling N+1 BLS with factored part 86.44% and helper 0.13% (259.57% proof)
 2473!31-1 is prime! (0.0435s+0.0069s)(digits:238)

 Primality testing 2499!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 97, base 1+sqrt(97)
 Running N+1 test using discriminant 97, base 3+sqrt(97)
 Calling N+1 BLS with factored part 90.49% and helper 0.63% (272.47% proof)
 2499!31-1 is prime! (0.0509s+0.0029s)(digits:241)

 Primality testing 2842!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 167
 Running N+1 test using discriminant 179, base 1+sqrt(179)
 Running N+1 test using discriminant 179, base 2+sqrt(179)
 Calling N+1 BLS with factored part 89.51% and helper 0.11% (268.86% proof)
 2842!31-1 is prime! (0.0521s+0.0036s)(digits:279)

 Primality testing 2845!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 173
 Running N+1 test using discriminant 181, base 1+sqrt(181)
 Running N+1 test using discriminant 181, base 2+sqrt(181)
 Calling N+1 BLS with factored part 86.07% and helper 0.11% (258.42% proof)
 2845!31-1 is prime! (0.0489s+0.0049s)(digits:279)

 Primality testing 2937!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 101
 Running N+1 test using discriminant 137, base 1+sqrt(137)
 Running N+1 test using discriminant 137, base 2+sqrt(137)
 Calling N+1 BLS with factored part 87.60% and helper 0.10% (263.02% proof)
 2937!31-1 is prime! (0.0504s+0.0024s)(digits:290)

 Primality testing 2942!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 137, base 1+sqrt(137)
 Running N+1 test using discriminant 137, base 2+sqrt(137)
 Calling N+1 BLS with factored part 86.68% and helper 0.10% (260.35% proof)
 2942!31-1 is prime! (0.0415s+0.0018s)(digits:290)

 Primality testing 3051!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 157, base 1+sqrt(157)
 Running N+1 test using discriminant 157, base 2+sqrt(157)
 Calling N+1 BLS with factored part 89.13% and helper 0.10% (267.60% proof)
 3051!31-1 is prime! (0.0595s+0.0016s)(digits:303)

 Primality testing 3075!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 149
 Running N+1 test using discriminant 163, base 1+sqrt(163)
 Running N+1 test using discriminant 163, base 2+sqrt(163)
 Calling N+1 BLS with factored part 88.44% and helper 0.79% (266.21% proof)
 3075!31-1 is prime! (0.0590s+0.0018s)(digits:305)

 Primality testing 3078!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 151, base 1+sqrt(151)
 Running N+1 test using discriminant 151, base 2+sqrt(151)
 Calling N+1 BLS with factored part 86.38% and helper 0.10% (259.23% proof)
 3078!31-1 is prime! (0.0623s+0.0019s)(digits:306)

 Primality testing 3079!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 131, base 1+sqrt(131)
 Running N+1 test using discriminant 131, base 2+sqrt(131)
 Calling N+1 BLS with factored part 88.07% and helper 0.10% (264.50% proof)
 3079!31-1 is prime! (0.0630s+0.0018s)(digits:306)

 Primality testing 3124!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 151, base 1+sqrt(151)
 Running N+1 test using discriminant 151, base 2+sqrt(151)
 Calling N+1 BLS with factored part 84.37% and helper 0.10% (253.20% proof)
 3124!31-1 is prime! (0.0599s+0.0015s)(digits:311)

 Primality testing 3444!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 193
 Running N+1 test using discriminant 257, base 1+sqrt(257)
 Running N+1 test using discriminant 257, base 2+sqrt(257)
 Calling N+1 BLS with factored part 84.09% and helper 0.09% (252.43% proof)
 3444!31-1 is prime! (0.0612s+0.0055s)(digits:347)

 Primality testing 3446!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 211, base 1+sqrt(211)
 Running N+1 test using discriminant 211, base 2+sqrt(211)
 Calling N+1 BLS with factored part 85.76% and helper 0.09% (257.47% proof)
 3446!31-1 is prime! (0.0549s+0.0018s)(digits:347)

 Primality testing 3660!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 139
 Running N+1 test using discriminant 167, base 1+sqrt(167)
 Running N+1 test using discriminant 167, base 2+sqrt(167)
 Calling N+1 BLS with factored part 85.96% and helper 0.08% (258.04% proof)
 3660!31-1 is prime! (0.0571s+0.0061s)(digits:372)

 Primality testing 3850!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 149, base 1+sqrt(149)
 Running N+1 test using discriminant 149, base 2+sqrt(149)
 Calling N+1 BLS with factored part 85.91% and helper 0.08% (257.89% proof)
 3850!31-1 is prime! (0.0581s+0.0019s)(digits:394)

 Primality testing 3952!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 163
 Running N+1 test using discriminant 181, base 1+sqrt(181)
 Running N+1 test using discriminant 181, base 2+sqrt(181)
 Calling N+1 BLS with factored part 87.88% and helper 0.07% (263.72% proof)
 3952!31-1 is prime! (0.0947s+0.0025s)(digits:406)

 Primality testing 3960!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 157
 Running N+1 test using discriminant 199, base 1+sqrt(199)
 Running N+1 test using discriminant 199, base 2+sqrt(199)
 Calling N+1 BLS with factored part 83.61% and helper 0.07% (251.04% proof)
 3960!31-1 is prime! (0.0849s+0.0016s)(digits:406)

 Primality testing 4228!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 227, base 1+sqrt(227)
 Running N+1 test using discriminant 227, base 2+sqrt(227)
 Calling N+1 BLS with factored part 83.40% and helper 0.07% (250.41% proof)
 4228!31-1 is prime! (0.0751s+0.0016s)(digits:438)

 Primality testing 4290!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 211, base 1+sqrt(211)
 Running N+1 test using discriminant 211, base 2+sqrt(211)
 Calling N+1 BLS with factored part 82.86% and helper 0.07% (248.78% proof)
 4290!31-1 is prime! (0.0707s+0.0017s)(digits:445)

 Primality testing 4320!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 191
 Running N+1 test using discriminant 211, base 1+sqrt(211)
 Running N+1 test using discriminant 211, base 2+sqrt(211)
 Calling N+1 BLS with factored part 85.15% and helper 0.07% (255.65% proof)
 4320!31-1 is prime! (0.0851s+0.0014s)(digits:449)

 Primality testing 4323!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 167, base 1+sqrt(167)
 Running N+1 test using discriminant 167, base 2+sqrt(167)
 Calling N+1 BLS with factored part 83.08% and helper 0.07% (249.29% proof)
 4323!31-1 is prime! (0.0805s+0.0015s)(digits:449)

 Primality testing 4335!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 167
 Running N+1 test using discriminant 191, base 1+sqrt(191)
 Running N+1 test using discriminant 191, base 2+sqrt(191)
 Calling N+1 BLS with factored part 84.53% and helper 0.07% (253.72% proof)
 4335!31-1 is prime! (0.0777s+0.0018s)(digits:450)

 Primality testing 4429!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 191, base 1+sqrt(191)
 Running N+1 test using discriminant 191, base 2+sqrt(191)
 Calling N+1 BLS with factored part 84.17% and helper 0.07% (252.71% proof)
 4429!31-1 is prime! (0.0773s+0.0021s)(digits:461)

 Primality testing 4433!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 157
 Running N+1 test using discriminant 167, base 1+sqrt(167)
 Running N+1 test using discriminant 167, base 2+sqrt(167)
 Calling N+1 BLS with factored part 100.00% and helper 0.65% (300.85% proof)
 4433!31-1 is prime! (0.0507s+0.0016s)(digits:461)

 Primality testing 4586!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 281, base 1+sqrt(281)
 Running N+1 test using discriminant 281, base 2+sqrt(281)
 Calling N+1 BLS with factored part 87.55% and helper 0.06% (262.73% proof)
 4586!31-1 is prime! (0.0858s+0.0014s)(digits:479)

 Primality testing 4592!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 179, base 1+sqrt(179)
 Running N+1 test using discriminant 179, base 2+sqrt(179)
 Calling N+1 BLS with factored part 83.44% and helper 0.06% (250.50% proof)
 4592!31-1 is prime! (0.0819s+0.0036s)(digits:481)

 Primality testing 4893!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 191
 Running N+1 test using discriminant 229, base 1+sqrt(229)
 Running N+1 test using discriminant 229, base 2+sqrt(229)
 Calling N+1 BLS with factored part 84.99% and helper 0.06% (255.02% proof)
 4893!31-1 is prime! (0.1254s+0.0026s)(digits:516)

 Primality testing 5306!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 199, base 1+sqrt(199)
 Running N+1 test using discriminant 199, base 2+sqrt(199)
 Calling N+1 BLS with factored part 85.67% and helper 0.05% (257.11% proof)
 5306!31-1 is prime! (0.1152s+0.0032s)(digits:566)

 Primality testing 5628!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 271, base 1+sqrt(271)
 Running N+1 test using discriminant 271, base 2+sqrt(271)
 Calling N+1 BLS with factored part 85.44% and helper 0.05% (256.38% proof)
 5628!31-1 is prime! (0.1260s+0.0014s)(digits:605)

 Primality testing 5668!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 229
 Running N+1 test using discriminant 257, base 1+sqrt(257)
 Running N+1 test using discriminant 257, base 2+sqrt(257)
 Calling N+1 BLS with factored part 86.54% and helper 0.05% (259.77% proof)
 5668!31-1 is prime! (0.1542s+0.0016s)(digits:609)

 Primality testing 5808!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 241, base 1+sqrt(241)
 Running N+1 test using discriminant 241, base 2+sqrt(241)
 Calling N+1 BLS with factored part 85.19% and helper 0.05% (255.65% proof)
 5808!31-1 is prime! (0.1781s+0.0033s)(digits:626)

 Primality testing 5876!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 373
 Running N+1 test using discriminant 397, base 1+sqrt(397)
 Running N+1 test using discriminant 397, base 2+sqrt(397)
 Calling N+1 BLS with factored part 84.90% and helper 0.52% (255.27% proof)
 5876!31-1 is prime! (0.1949s+0.0014s)(digits:635)

 Primality testing 5885!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 229, base 1+sqrt(229)
 Running N+1 test using discriminant 229, base 2+sqrt(229)
 Calling N+1 BLS with factored part 86.53% and helper 0.05% (259.74% proof)
 5885!31-1 is prime! (0.1905s+0.0016s)(digits:635)

 Primality testing 5918!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 241
 Running N+1 test using discriminant 373, base 1+sqrt(373)
 Running N+1 test using discriminant 373, base 2+sqrt(373)
 Calling N+1 BLS with factored part 85.44% and helper 0.05% (256.41% proof)
 5918!31-1 is prime! (0.1571s+0.0021s)(digits:639)

 Primality testing 6084!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 269, base 1+sqrt(269)
 Running N+1 test using discriminant 269, base 2+sqrt(269)
 Calling N+1 BLS with factored part 85.07% and helper 0.23% (255.57% proof)
 6084!31-1 is prime! (0.1462s+0.0016s)(digits:660)

 Primality testing 6100!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 271
 Running N+1 test using discriminant 379, base 1+sqrt(379)
 Running N+1 test using discriminant 379, base 2+sqrt(379)
 Calling N+1 BLS with factored part 84.70% and helper 0.05% (254.14% proof)
 6100!31-1 is prime! (0.1618s+0.0016s)(digits:662)

 Primality testing 6183!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 239, base 1+sqrt(239)
 Running N+1 test using discriminant 239, base 2+sqrt(239)
 Calling N+1 BLS with factored part 86.51% and helper 0.04% (259.66% proof)
 6183!31-1 is prime! (0.1580s+0.0015s)(digits:672)

 Primality testing 6343!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 223
 Running N+1 test using discriminant 229, base 1+sqrt(229)
 Running N+1 test using discriminant 229, base 2+sqrt(229)
 Calling N+1 BLS with factored part 84.88% and helper 0.04% (254.68% proof)
 6343!31-1 is prime! (0.1545s+0.0043s)(digits:692)

 Primality testing 6379!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 271, base 1+sqrt(271)
 Running N+1 test using discriminant 271, base 2+sqrt(271)
 Calling N+1 BLS with factored part 84.76% and helper 0.04% (254.31% proof)
 6379!31-1 is prime! (0.1622s+0.0014s)(digits:696)

 Primality testing 6523!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 257
 Running N+1 test using discriminant 379, base 1+sqrt(379)
 Running N+1 test using discriminant 379, base 2+sqrt(379)
 Calling N+1 BLS with factored part 82.31% and helper 0.04% (246.98% proof)
 6523!31-1 is prime! (0.1724s+0.0017s)(digits:714)

 Primality testing 6699!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 283, base 1+sqrt(283)
 Running N+1 test using discriminant 283, base 3+sqrt(283)
 Calling N+1 BLS with factored part 87.05% and helper 0.04% (261.20% proof)
 6699!31-1 is prime! (0.1800s+0.0016s)(digits:735)

 Primality testing 6767!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 269
 Running N+1 test using discriminant 307, base 1+sqrt(307)
 Running N+1 test using discriminant 307, base 2+sqrt(307)
 Calling N+1 BLS with factored part 87.28% and helper 0.85% (262.78% proof)
 6767!31-1 is prime! (0.1933s+0.0025s)(digits:744)

 Primality testing 6768!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 313
 Running N+1 test using discriminant 419, base 1+sqrt(419)
 Running N+1 test using discriminant 419, base 2+sqrt(419)
 Calling N+1 BLS with factored part 83.89% and helper 0.04% (251.78% proof)
 6768!31-1 is prime! (0.1764s+0.0016s)(digits:744)

 Primality testing 6831!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 419
 Running N+1 test using discriminant 433, base 1+sqrt(433)
 Running N+1 test using discriminant 433, base 2+sqrt(433)
 Calling N+1 BLS with factored part 86.34% and helper 0.04% (259.13% proof)
 6831!31-1 is prime! (0.2010s+0.0017s)(digits:752)

 Primality testing 7205!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 313
 Running N+1 test using discriminant 349, base 1+sqrt(349)
 Running N+1 test using discriminant 349, base 2+sqrt(349)
 Calling N+1 BLS with factored part 83.89% and helper 0.42% (252.08% proof)
 7205!31-1 is prime! (0.2008s+0.0016s)(digits:798)

 Primality testing 7206!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 347
 Running N+1 test using discriminant 353, base 1+sqrt(353)
 Running N+1 test using discriminant 353, base 2+sqrt(353)
 Calling N+1 BLS with factored part 87.21% and helper 0.04% (261.66% proof)
 7206!31-1 is prime! (0.2147s+0.0019s)(digits:798)

 Primality testing 7338!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 257, base 1+sqrt(257)
 Running N+1 test using discriminant 257, base 2+sqrt(257)
 Calling N+1 BLS with factored part 87.32% and helper 0.04% (262.02% proof)
 7338!31-1 is prime! (0.2450s+0.0019s)(digits:815)

 Primality testing 7508!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 293
 Running N+1 test using discriminant 349, base 1+sqrt(349)
 Running N+1 test using discriminant 349, base 2+sqrt(349)
 Calling N+1 BLS with factored part 84.61% and helper 0.36% (254.27% proof)
 7508!31-1 is prime! (0.2867s+0.0016s)(digits:836)

 Primality testing 7616!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 349, base 1+sqrt(349)
 Running N+1 test using discriminant 349, base 2+sqrt(349)
 Calling N+1 BLS with factored part 85.57% and helper 0.18% (256.95% proof)
 7616!31-1 is prime! (0.2958s+0.0014s)(digits:849)

 Primality testing 7653!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 409, base 1+sqrt(409)
 Running N+1 test using discriminant 409, base 2+sqrt(409)
 Calling N+1 BLS with factored part 87.01% and helper 0.04% (261.15% proof)
 7653!31-1 is prime! (0.2965s+0.0028s)(digits:854)

 Primality testing 8394!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 317
 Running N+1 test using discriminant 373, base 1+sqrt(373)
 Running N+1 test using discriminant 373, base 2+sqrt(373)
 Calling N+1 BLS with factored part 84.64% and helper 0.03% (254.02% proof)
 8394!31-1 is prime! (0.2876s+0.0022s)(digits:947)

 Primality testing 8516!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 313, base 1+sqrt(313)
 Running N+1 test using discriminant 313, base 2+sqrt(313)
 Calling N+1 BLS with factored part 87.52% and helper 0.03% (262.58% proof)
 8516!31-1 is prime! (0.3113s+0.0014s)(digits:963)

 Primality testing 8715!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 337
 Running N+1 test using discriminant 401, base 1+sqrt(401)
 Running N+1 test using discriminant 401, base 2+sqrt(401)
 Calling N+1 BLS with factored part 87.02% and helper 0.03% (261.14% proof)
 8715!31-1 is prime! (0.3159s+0.0017s)(digits:988)

 Primality testing 8928!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 293
 Running N+1 test using discriminant 313, base 1+sqrt(313)
 Running N+1 test using discriminant 313, base 2+sqrt(313)
 Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.06% proof)
 8928!31-1 is prime! (0.1945s+0.0019s)(digits:1015)

 Primality testing 9027!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 431
 Running N+1 test using discriminant 463, base 1+sqrt(463)
 Running N+1 test using discriminant 463, base 2+sqrt(463)
 Calling N+1 BLS with factored part 88.92% and helper 0.03% (266.80% proof)
 9027!31-1 is prime! (0.3474s+0.0020s)(digits:1028)

 Primality testing 9078!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 359, base 1+sqrt(359)
 Running N+1 test using discriminant 359, base 2+sqrt(359)
 Calling N+1 BLS with factored part 87.59% and helper 0.03% (262.83% proof)
 9078!31-1 is prime! (0.4165s+0.0016s)(digits:1034)

 Primality testing 9099!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 383, base 1+sqrt(383)
 Running N+1 test using discriminant 383, base 2+sqrt(383)
 Calling N+1 BLS with factored part 87.69% and helper 0.15% (263.29% proof)
 9099!31-1 is prime! (0.4068s+0.0016s)(digits:1037)

 Primality testing 9240!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 433
 Running N+1 test using discriminant 449, base 1+sqrt(449)
 Running N+1 test using discriminant 449, base 2+sqrt(449)
 Calling N+1 BLS with factored part 86.38% and helper 0.03% (259.19% proof)
 9240!31-1 is prime! (0.4876s+0.0019s)(digits:1055)

 Primality testing 9510!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 397, base 1+sqrt(397)
 Running N+1 test using discriminant 397, base 2+sqrt(397)
 Calling N+1 BLS with factored part 86.81% and helper 0.03% (260.52% proof)
 9510!31-1 is prime! (0.3960s+0.0027s)(digits:1090)

 Primality testing 9659!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 431, base 1+sqrt(431)
 Running N+1 test using discriminant 431, base 2+sqrt(431)
 Calling N+1 BLS with factored part 89.63% and helper 0.03% (268.93% proof)
 9659!31-1 is prime! (0.4351s+0.0015s)(digits:1109)

 Primality testing 9876!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 383, base 1+sqrt(383)
 Running N+1 test using discriminant 383, base 2+sqrt(383)
 Calling N+1 BLS with factored part 89.56% and helper 0.03% (268.71% proof)
 9876!31-1 is prime! (0.4372s+0.0021s)(digits:1137)

 Primality testing 9991!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 431
 Running N+1 test using discriminant 479, base 1+sqrt(479)
 Running N+1 test using discriminant 479, base 2+sqrt(479)
 Calling N+1 BLS with factored part 87.68% and helper 0.03% (263.13% proof)
 9991!31-1 is prime! (0.4497s+0.0014s)(digits:1152)

 Primality testing 10871!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 421, base 1+sqrt(421)
 Running N+1 test using discriminant 421, base 2+sqrt(421)
 Calling N+1 BLS with factored part 88.17% and helper 0.02% (264.59% proof)
 10871!31-1 is prime! (0.6301s+0.0018s)(digits:1266)

 Primality testing 10939!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 503, base 1+sqrt(503)
 Running N+1 test using discriminant 503, base 2+sqrt(503)
 Calling N+1 BLS with factored part 87.83% and helper 0.24% (263.77% proof)
 10939!31-1 is prime! (0.6432s+0.0018s)(digits:1274)

 Primality testing 11264!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 593, base 1+sqrt(593)
 Running N+1 test using discriminant 593, base 3+sqrt(593)
 Calling N+1 BLS with factored part 86.49% and helper 0.02% (259.50% proof)
 11264!31-1 is prime! (0.5466s+0.0016s)(digits:1317)

 Primality testing 11421!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 409, base 1+sqrt(409)
 Running N+1 test using discriminant 409, base 2+sqrt(409)
 Calling N+1 BLS with factored part 86.74% and helper 0.02% (260.23% proof)
 11421!31-1 is prime! (0.5653s+0.0015s)(digits:1338)

 Primality testing 11445!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 463
 Running N+1 test using discriminant 521, base 1+sqrt(521)
 Running N+1 test using discriminant 521, base 2+sqrt(521)
 Calling N+1 BLS with factored part 87.56% and helper 0.02% (262.71% proof)
 11445!31-1 is prime! (0.6015s+0.0017s)(digits:1341)

 Primality testing 11747!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 467, base 1+sqrt(467)
 Running N+1 test using discriminant 467, base 2+sqrt(467)
 Calling N+1 BLS with factored part 88.19% and helper 0.02% (264.64% proof)
 11747!31-1 is prime! (0.6648s+0.0018s)(digits:1380)

 Primality testing 11980!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 487, base 1+sqrt(487)
 Running N+1 test using discriminant 487, base 2+sqrt(487)
 Calling N+1 BLS with factored part 88.11% and helper 0.32% (264.72% proof)
 11980!31-1 is prime! (0.6673s+0.0017s)(digits:1411)

 Primality testing 12260!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 577
 Running N+1 test using discriminant 659, base 1+sqrt(659)
 Running N+1 test using discriminant 659, base 2+sqrt(659)
 Calling N+1 BLS with factored part 87.65% and helper 0.02% (262.98% proof)
 12260!31-1 is prime! (0.7107s+0.0016s)(digits:1448)

 Primality testing 12380!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 547, base 1+sqrt(547)
 Running N+1 test using discriminant 547, base 2+sqrt(547)
 Calling N+1 BLS with factored part 87.49% and helper 0.02% (262.53% proof)
 12380!31-1 is prime! (0.6774s+0.0017s)(digits:1464)

 Primality testing 12597!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 563, base 1+sqrt(563)
 Running N+1 test using discriminant 563, base 2+sqrt(563)
 Calling N+1 BLS with factored part 87.67% and helper 0.02% (263.05% proof)
 12597!31-1 is prime! (0.7249s+0.0016s)(digits:1492)

 Primality testing 12738!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 499
 Running N+1 test using discriminant 509, base 1+sqrt(509)
 Running N+1 test using discriminant 509, base 2+sqrt(509)
 Calling N+1 BLS with factored part 88.10% and helper 0.02% (264.31% proof)
 12738!31-1 is prime! (0.7615s+0.0017s)(digits:1511)

 Primality testing 13135!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 443, base 1+sqrt(443)
 Running N+1 test using discriminant 443, base 2+sqrt(443)
 Calling N+1 BLS with factored part 87.90% and helper 0.23% (263.96% proof)
 13135!31-1 is prime! (0.7457s+0.0016s)(digits:1564)

 Primality testing 13320!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 599, base 1+sqrt(599)
 Running N+1 test using discriminant 599, base 2+sqrt(599)
 Calling N+1 BLS with factored part 88.30% and helper 0.02% (264.94% proof)
 13320!31-1 is prime! (0.7570s+0.0017s)(digits:1588)

 Primality testing 13454!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 443
 Running N+1 test using discriminant 457, base 1+sqrt(457)
 Running N+1 test using discriminant 457, base 2+sqrt(457)
 Calling N+1 BLS with factored part 100.00% and helper 0.17% (300.19% proof)
 13454!31-1 is prime! (0.4543s+0.0015s)(digits:1606)

 Primality testing 14164!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 499
 Running N+1 test using discriminant 683, base 1+sqrt(683)
 Running N+1 test using discriminant 683, base 2+sqrt(683)
 Calling N+1 BLS with factored part 88.56% and helper 0.02% (265.72% proof)
 14164!31-1 is prime! (1.1445s+0.0017s)(digits:1701)

 Primality testing 14512!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 523, base 1+sqrt(523)
 Running N+1 test using discriminant 523, base 2+sqrt(523)
 Calling N+1 BLS with factored part 88.49% and helper 0.19% (265.67% proof)
 14512!31-1 is prime! (1.0775s+0.0019s)(digits:1748)

 Primality testing 14542!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 541, base 1+sqrt(541)
 Running N+1 test using discriminant 541, base 2+sqrt(541)
 Calling N+1 BLS with factored part 88.84% and helper 0.02% (266.57% proof)
 14542!31-1 is prime! (1.0765s+0.0018s)(digits:1752)

 Primality testing 15208!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 569
 Running N+1 test using discriminant 757, base 1+sqrt(757)
 Running N+1 test using discriminant 757, base 2+sqrt(757)
 Calling N+1 BLS with factored part 89.76% and helper 0.02% (269.33% proof)
 15208!31-1 is prime! (1.2124s+0.0018s)(digits:1841)

 Primality testing 15357!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 647, base 1+sqrt(647)
 Running N+1 test using discriminant 647, base 2+sqrt(647)
 Calling N+1 BLS with factored part 88.19% and helper 0.02% (264.62% proof)
 15357!31-1 is prime! (1.1590s+0.0016s)(digits:1861)

 Primality testing 15903!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 541
 Running N+1 test using discriminant 557, base 1+sqrt(557)
 Running N+1 test using discriminant 557, base 2+sqrt(557)
 Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.05% proof)
 15903!31-1 is prime! (0.7086s+0.0018s)(digits:1935)

 Primality testing 16534!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 661, base 1+sqrt(661)
 Running N+1 test using discriminant 661, base 2+sqrt(661)
 Calling N+1 BLS with factored part 88.62% and helper 0.01% (265.88% proof)
 16534!31-1 is prime! (1.2733s+0.0017s)(digits:2021)

 Primality testing 16765!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 653
 Running N+1 test using discriminant 739, base 1+sqrt(739)
 Running N+1 test using discriminant 739, base 2+sqrt(739)
 Calling N+1 BLS with factored part 89.16% and helper 0.01% (267.51% proof)
 16765!31-1 is prime! (1.3350s+0.0017s)(digits:2052)

 Primality testing 17239!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 727
 Running N+1 test using discriminant 743, base 1+sqrt(743)
 Running N+1 test using discriminant 743, base 2+sqrt(743)
 Calling N+1 BLS with factored part 88.53% and helper 0.01% (265.63% proof)
 17239!31-1 is prime! (1.9064s+0.0017s)(digits:2117)

 Primality testing 17375!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 677, base 1+sqrt(677)
 Running N+1 test using discriminant 677, base 2+sqrt(677)
 Calling N+1 BLS with factored part 89.38% and helper 0.01% (268.17% proof)
 17375!31-1 is prime! (1.5556s+0.0017s)(digits:2136)

 Primality testing 17770!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 613
 Running N+1 test using discriminant 659, base 1+sqrt(659)
 Running N+1 test using discriminant 659, base 2+sqrt(659)
 Calling N+1 BLS with factored part 90.65% and helper 0.01% (271.98% proof)
 17770!31-1 is prime! (1.6893s+0.0016s)(digits:2190)

 Primality testing 18473!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 683
 Running N+1 test using discriminant 809, base 1+sqrt(809)
 Running N+1 test using discriminant 809, base 2+sqrt(809)
 Calling N+1 BLS with factored part 89.27% and helper 0.01% (267.83% proof)
 18473!31-1 is prime! (1.7740s+0.0018s)(digits:2286)

 Primality testing 18566!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 853, base 1+sqrt(853)
 Running N+1 test using discriminant 853, base 2+sqrt(853)
 Calling N+1 BLS with factored part 89.17% and helper 0.01% (267.51% proof)
 18566!31-1 is prime! (1.7403s+0.0016s)(digits:2299)

 Primality testing 19448!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 733, base 1+sqrt(733)
 Running N+1 test using discriminant 733, base 2+sqrt(733)
 Calling N+1 BLS with factored part 89.50% and helper 0.01% (268.53% proof)
 19448!31-1 is prime! (2.5477s+0.0019s)(digits:2421)

 Primality testing 20409!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 823, base 1+sqrt(823)
 Running N+1 test using discriminant 823, base 2+sqrt(823)
 Calling N+1 BLS with factored part 89.17% and helper 0.01% (267.54% proof)
 20409!31-1 is prime! (2.4362s+0.0015s)(digits:2554)

 Primality testing 20629!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 761, base 1+sqrt(761)
 Running N+1 test using discriminant 761, base 2+sqrt(761)
 Calling N+1 BLS with factored part 89.77% and helper 0.01% (269.34% proof)
 20629!31-1 is prime! (2.4964s+0.0016s)(digits:2585)

 Primality testing 21030!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 769, base 1+sqrt(769)
 Running N+1 test using discriminant 769, base 2+sqrt(769)
 Calling N+1 BLS with factored part 90.47% and helper 0.01% (271.43% proof)
 21030!31-1 is prime! (2.6850s+0.0020s)(digits:2641)

 Primality testing 21780!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 757, base 1+sqrt(757)
 Running N+1 test using discriminant 757, base 2+sqrt(757)
 Calling N+1 BLS with factored part 90.01% and helper 0.01% (270.05% proof)
 21780!31-1 is prime! (2.7901s+0.0021s)(digits:2745)

 Primality testing 21978!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 853
 Running N+1 test using discriminant 907, base 1+sqrt(907)
 Running N+1 test using discriminant 907, base 2+sqrt(907)
 Calling N+1 BLS with factored part 90.87% and helper 0.01% (272.62% proof)
 21978!31-1 is prime! (2.8478s+0.0016s)(digits:2773)

 Primality testing 22030!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 863
 Running N+1 test using discriminant 941, base 1+sqrt(941)
 Running N+1 test using discriminant 941, base 2+sqrt(941)
 Calling N+1 BLS with factored part 89.81% and helper 0.01% (269.45% proof)
 22030!31-1 is prime! (2.8352s+0.0019s)(digits:2780)

 Primality testing 22489!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 761, base 1+sqrt(761)
 Running N+1 test using discriminant 761, base 2+sqrt(761)
 Calling N+1 BLS with factored part 90.17% and helper 0.13% (270.66% proof)
 22489!31-1 is prime! (2.8369s+0.0017s)(digits:2845)

 Primality testing 22549!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1019, base 1+sqrt(1019)
 Running N+1 test using discriminant 1019, base 2+sqrt(1019)
 Calling N+1 BLS with factored part 90.63% and helper 0.01% (271.90% proof)
 22549!31-1 is prime! (2.9321s+0.0018s)(digits:2853)

 Primality testing 22984!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 857, base 1+sqrt(857)
 Running N+1 test using discriminant 857, base 2+sqrt(857)
 Calling N+1 BLS with factored part 89.86% and helper 0.01% (269.59% proof)
 22984!31-1 is prime! (3.0640s+0.0021s)(digits:2915)

 Primality testing 23492!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 947, base 1+sqrt(947)
 Running N+1 test using discriminant 947, base 2+sqrt(947)
 Calling N+1 BLS with factored part 90.02% and helper 0.01% (270.06% proof)
 23492!31-1 is prime! (3.1443s+0.0033s)(digits:2986)

 Primality testing 23755!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 797, base 1+sqrt(797)
 Running N+1 test using discriminant 797, base 2+sqrt(797)
 Calling N+1 BLS with factored part 90.05% and helper 0.12% (270.28% proof)
 23755!31-1 is prime! (3.1254s+0.0021s)(digits:3023)

 Primality testing 23944!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 971
 Running N+1 test using discriminant 1033, base 1+sqrt(1033)
 Running N+1 test using discriminant 1033, base 2+sqrt(1033)
 Calling N+1 BLS with factored part 90.48% and helper 0.01% (271.48% proof)
 23944!31-1 is prime! (3.3195s+0.0016s)(digits:3050)

 Primality testing 24653!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 953, base 1+sqrt(953)
 Running N+1 test using discriminant 953, base 2+sqrt(953)
 Calling N+1 BLS with factored part 91.95% and helper 0.01% (275.89% proof)
 24653!31-1 is prime! (3.4543s+0.0021s)(digits:3150)

 Primality testing 24697!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 971
 Running N+1 test using discriminant 1097, base 1+sqrt(1097)
 Running N+1 test using discriminant 1097, base 2+sqrt(1097)
 Calling N+1 BLS with factored part 90.78% and helper 0.01% (272.35% proof)
 24697!31-1 is prime! (3.4913s+0.0019s)(digits:3156)

 Primality testing 24719!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 887, base 1+sqrt(887)
 Running N+1 test using discriminant 887, base 2+sqrt(887)
 Calling N+1 BLS with factored part 90.53% and helper 0.12% (271.72% proof)
 24719!31-1 is prime! (3.3444s+0.0018s)(digits:3160)

 Primality testing 25002!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 883, base 1+sqrt(883)
 Running N+1 test using discriminant 883, base 2+sqrt(883)
 Calling N+1 BLS with factored part 90.86% and helper 0.01% (272.62% proof)
 25002!31-1 is prime! (3.4206s+0.0018s)(digits:3200)

 Primality testing 25311!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 977
 Running N+1 test using discriminant 1031, base 1+sqrt(1031)
 Running N+1 test using discriminant 1031, base 2+sqrt(1031)
 Calling N+1 BLS with factored part 90.49% and helper 0.01% (271.47% proof)
 25311!31-1 is prime! (4.7698s+0.0021s)(digits:3243)

 Primality testing 25827!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 991, base 1+sqrt(991)
 Running N+1 test using discriminant 991, base 2+sqrt(991)
 Calling N+1 BLS with factored part 91.09% and helper 0.01% (273.27% proof)
 25827!31-1 is prime! (4.8163s+0.0021s)(digits:3317)

 Primality testing 27914!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1097
 Running N+1 test using discriminant 1283, base 1+sqrt(1283)
 Running N+1 test using discriminant 1283, base 2+sqrt(1283)
 Calling N+1 BLS with factored part 91.36% and helper 0.01% (274.11% proof)
 27914!31-1 is prime! (4.9332s+0.0017s)(digits:3615)

 Primality testing 28178!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 977
 Running N+1 test using discriminant 1039, base 1+sqrt(1039)
 Running N+1 test using discriminant 1039, base 2+sqrt(1039)
 Calling N+1 BLS with factored part 91.11% and helper 0.01% (273.35% proof)
 28178!31-1 is prime! (5.1564s+0.0017s)(digits:3652)

 Primality testing 28766!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1087, base 1+sqrt(1087)
 Running N+1 test using discriminant 1087, base 2+sqrt(1087)
 Calling N+1 BLS with factored part 91.55% and helper 0.01% (274.67% proof)
 28766!31-1 is prime! (5.2271s+0.0032s)(digits:3737)

 Primality testing 29199!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1009, base 1+sqrt(1009)
 Running N+1 test using discriminant 1009, base 2+sqrt(1009)
 Calling N+1 BLS with factored part 90.33% and helper 0.01% (271.01% proof)
 29199!31-1 is prime! (5.2000s+0.0022s)(digits:3799)

 Primality testing 29999!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1259
 Running N+1 test using discriminant 1279, base 1+sqrt(1279)
 Running N+1 test using discriminant 1279, base 2+sqrt(1279)
 Calling N+1 BLS with factored part 91.45% and helper 0.01% (274.37% proof)
 29999!31-1 is prime! (5.5062s+0.0023s)(digits:3915)

 Primality testing 32254!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1163, base 1+sqrt(1163)
 Running N+1 test using discriminant 1163, base 2+sqrt(1163)
 Calling N+1 BLS with factored part 91.33% and helper 0.01% (274.02% proof)
 32254!31-1 is prime! (7.1862s+0.0026s)(digits:4242)

 Primality testing 32297!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1249, base 1+sqrt(1249)
 Running N+1 test using discriminant 1249, base 2+sqrt(1249)
 Calling N+1 BLS with factored part 91.23% and helper 0.01% (273.71% proof)
 32297!31-1 is prime! (7.1614s+0.0044s)(digits:4248)

 Primality testing 32405!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1297, base 1+sqrt(1297)
 Running N+1 test using discriminant 1297, base 2+sqrt(1297)
 Calling N+1 BLS with factored part 91.37% and helper 0.01% (274.13% proof)
 32405!31-1 is prime! (7.2964s+0.0059s)(digits:4264)

 Primality testing 32560!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1297, base 1+sqrt(1297)
 Running N+1 test using discriminant 1297, base 2+sqrt(1297)
 Calling N+1 BLS with factored part 91.21% and helper 0.01% (273.66% proof)
 32560!31-1 is prime! (7.2813s+0.0036s)(digits:4287)

 Primality testing 32622!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1367, base 1+sqrt(1367)
 Running N+1 test using discriminant 1367, base 2+sqrt(1367)
 Calling N+1 BLS with factored part 91.23% and helper 0.01% (273.71% proof)
 32622!31-1 is prime! (7.3255s+0.0027s)(digits:4296)

 Primality testing 33730!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1291
 Running N+1 test using discriminant 1511, base 1+sqrt(1511)
 Running N+1 test using discriminant 1511, base 2+sqrt(1511)
 Calling N+1 BLS with factored part 92.07% and helper 0.07% (276.30% proof)
 33730!31-1 is prime! (7.8715s+0.0020s)(digits:4457)

 Primality testing 33754!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1283
 Running N+1 test using discriminant 1427, base 1+sqrt(1427)
 Running N+1 test using discriminant 1427, base 2+sqrt(1427)
 Calling N+1 BLS with factored part 91.04% and helper 0.01% (273.12% proof)
 33754!31-1 is prime! (8.7014s+0.0022s)(digits:4460)

 Primality testing 34302!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1499, base 1+sqrt(1499)
 Running N+1 test using discriminant 1499, base 2+sqrt(1499)
 Calling N+1 BLS with factored part 91.91% and helper 0.01% (275.75% proof)
 34302!31-1 is prime! (7.6645s+0.0022s)(digits:4541)

 Primality testing 35232!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1367, base 1+sqrt(1367)
 Running N+1 test using discriminant 1367, base 2+sqrt(1367)
 Calling N+1 BLS with factored part 92.12% and helper 0.01% (276.38% proof)
 35232!31-1 is prime! (7.9141s+0.0023s)(digits:4677)

 Primality testing 35700!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1277
 Running N+1 test using discriminant 1283, base 1+sqrt(1283)
 Running N+1 test using discriminant 1283, base 2+sqrt(1283)
 Calling N+1 BLS with factored part 91.70% and helper 0.01% (275.12% proof)
 35700!31-1 is prime! (8.1534s+0.0026s)(digits:4746)

 Primality testing 35842!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1237, base 1+sqrt(1237)
 Running N+1 test using discriminant 1237, base 2+sqrt(1237)
 Calling N+1 BLS with factored part 91.53% and helper 0.09% (274.69% proof)
 35842!31-1 is prime! (8.2811s+0.0023s)(digits:4767)

 Primality testing 36925!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1373
 Running N+1 test using discriminant 1481, base 1+sqrt(1481)
 Running N+1 test using discriminant 1481, base 2+sqrt(1481)
 Calling N+1 BLS with factored part 91.34% and helper 0.01% (274.03% proof)
 36925!31-1 is prime! (11.4932s+0.0036s)(digits:4926)

 Primality testing 37225!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1277
 Running N+1 test using discriminant 1367, base 1+sqrt(1367)
 Running N+1 test using discriminant 1367, base 2+sqrt(1367)
 Calling N+1 BLS with factored part 91.45% and helper 0.01% (274.36% proof)
 37225!31-1 is prime! (11.7366s+0.0024s)(digits:4970)

 Primality testing 37475!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1399
 Running N+1 test using discriminant 1427, base 1+sqrt(1427)
 Running N+1 test using discriminant 1427, base 2+sqrt(1427)
 Calling N+1 BLS with factored part 91.64% and helper 0.15% (275.08% proof)
 37475!31-1 is prime! (12.1951s+0.0023s)(digits:5007)

 Primality testing 38588!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1451
 Running N+1 test using discriminant 1601, base 1+sqrt(1601)
 Running N+1 test using discriminant 1601, base 2+sqrt(1601)
 Calling N+1 BLS with factored part 92.06% and helper 0.01% (276.18% proof)
 38588!31-1 is prime! (11.9269s+0.0024s)(digits:5171)

 Primality testing 39252!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1327, base 1+sqrt(1327)
 Running N+1 test using discriminant 1327, base 2+sqrt(1327)
 Calling N+1 BLS with factored part 91.88% and helper 0.08% (275.71% proof)
 39252!31-1 is prime! (11.9160s+0.0028s)(digits:5270)

 Primality testing 40006!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1511
 Running N+1 test using discriminant 1553, base 1+sqrt(1553)
 Running N+1 test using discriminant 1553, base 2+sqrt(1553)
 Calling N+1 BLS with factored part 91.83% and helper 0.01% (275.49% proof)
 40006!31-1 is prime! (12.6721s+0.0027s)(digits:5382)

 Primality testing 40127!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1559, base 1+sqrt(1559)
 Running N+1 test using discriminant 1559, base 2+sqrt(1559)
 Calling N+1 BLS with factored part 92.27% and helper 0.01% (276.83% proof)
 40127!31-1 is prime! (12.5257s+0.0033s)(digits:5400)

 Primality testing 41082!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1481
 Running N+1 test using discriminant 1531, base 1+sqrt(1531)
 Running N+1 test using discriminant 1531, base 2+sqrt(1531)
 Calling N+1 BLS with factored part 91.68% and helper 0.01% (275.04% proof)
 41082!31-1 is prime! (13.3846s+0.0035s)(digits:5542)

 Primality testing 42135!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1451
 Running N+1 test using discriminant 1609, base 1+sqrt(1609)
 Running N+1 test using discriminant 1609, base 2+sqrt(1609)
 Calling N+1 BLS with factored part 92.02% and helper 0.01% (276.08% proof)
 42135!31-1 is prime! (13.6562s+0.0038s)(digits:5698)

 Primality testing 44037!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1471
 Running N+1 test using discriminant 1657, base 1+sqrt(1657)
 Running N+1 test using discriminant 1657, base 2+sqrt(1657)
 Calling N+1 BLS with factored part 91.50% and helper 0.01% (274.49% proof)
 44037!31-1 is prime! (14.3706s+0.0050s)(digits:5983)

 Primality testing 48242!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1823
 Running N+1 test using discriminant 2137, base 1+sqrt(2137)
 Running N+1 test using discriminant 2137, base 2+sqrt(2137)
 Calling N+1 BLS with factored part 92.16% and helper 0.00% (276.49% proof)
 48242!31-1 is prime! (21.2103s+0.0025s)(digits:6615)

 Primality testing 49622!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1801, base 1+sqrt(1801)
 Running N+1 test using discriminant 1801, base 2+sqrt(1801)
 Calling N+1 BLS with factored part 92.50% and helper 0.00% (277.53% proof)
 49622!31-1 is prime! (21.4447s+0.0027s)(digits:6824)

 Primality testing 50710!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1801
 Running N+1 test using discriminant 1987, base 1+sqrt(1987)
 Running N+1 test using discriminant 1987, base 2+sqrt(1987)
 Calling N+1 BLS with factored part 92.61% and helper 0.06% (277.90% proof)
 50710!31-1 is prime! (22.4138s+0.0034s)(digits:6989)

 Primality testing 51905!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1901, base 1+sqrt(1901)
 Running N+1 test using discriminant 1901, base 2+sqrt(1901)
 Calling N+1 BLS with factored part 92.58% and helper 0.05% (277.80% proof)
 51905!31-1 is prime! (23.0203s+0.0030s)(digits:7171)

 Primality testing 53991!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 1871
 Running N+1 test using discriminant 2239, base 1+sqrt(2239)
 Running N+1 test using discriminant 2239, base 2+sqrt(2239)
 Calling N+1 BLS with factored part 92.51% and helper 0.06% (277.59% proof)
 53991!31-1 is prime! (24.2088s+0.0057s)(digits:7489)

 Primality testing 55035!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1979, base 1+sqrt(1979)
 Running N+1 test using discriminant 1979, base 2+sqrt(1979)
 Calling N+1 BLS with factored part 92.46% and helper 0.02% (277.40% proof)
 55035!31-1 is prime! (24.5737s+0.0034s)(digits:7648)

 Primality testing 55541!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2029
 Running N+1 test using discriminant 2243, base 1+sqrt(2243)
 Running N+1 test using discriminant 2243, base 2+sqrt(2243)
 Calling N+1 BLS with factored part 92.72% and helper 0.00% (278.15% proof)
 55541!31-1 is prime! (25.3422s+0.0046s)(digits:7725)

 Primality testing 58736!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 1993, base 1+sqrt(1993)
 Running N+1 test using discriminant 1993, base 2+sqrt(1993)
 Calling N+1 BLS with factored part 92.99% and helper 0.00% (278.99% proof)
 58736!31-1 is prime! (35.5731s+0.0040s)(digits:8216)

 Primality testing 58971!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2161
 Running N+1 test using discriminant 2243, base 1+sqrt(2243)
 Running N+1 test using discriminant 2243, base 2+sqrt(2243)
 Calling N+1 BLS with factored part 92.79% and helper 0.00% (278.37% proof)
 58971!31-1 is prime! (35.5686s+0.0047s)(digits:8252)

 Primality testing 60989!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2251, base 1+sqrt(2251)
 Running N+1 test using discriminant 2251, base 2+sqrt(2251)
 Calling N+1 BLS with factored part 92.46% and helper 0.00% (277.38% proof)
 60989!31-1 is prime! (33.0235s+0.0032s)(digits:8563)

 Primality testing 62981!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2339
 Running N+1 test using discriminant 2351, base 1+sqrt(2351)
 Running N+1 test using discriminant 2351, base 2+sqrt(2351)
 Calling N+1 BLS with factored part 93.36% and helper 0.04% (280.13% proof)
 62981!31-1 is prime! (34.8765s+0.0038s)(digits:8871)

 Primality testing 65219!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2237, base 1+sqrt(2237)
 Running N+1 test using discriminant 2237, base 2+sqrt(2237)
 Calling N+1 BLS with factored part 92.73% and helper 0.00% (278.20% proof)
 65219!31-1 is prime! (35.8550s+0.0061s)(digits:9218)

 Primality testing 66312!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2339
 Running N+1 test using discriminant 2477, base 1+sqrt(2477)
 Running N+1 test using discriminant 2477, base 2+sqrt(2477)
 Calling N+1 BLS with factored part 93.41% and helper 0.00% (280.24% proof)
 66312!31-1 is prime! (37.6407s+0.0056s)(digits:9388)

 Primality testing 66538!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2381, base 1+sqrt(2381)
 Running N+1 test using discriminant 2381, base 2+sqrt(2381)
 Calling N+1 BLS with factored part 92.99% and helper 0.00% (278.97% proof)
 66538!31-1 is prime! (37.1367s+0.0044s)(digits:9423)

 Primality testing 69608!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2551
 Running N+1 test using discriminant 2579, base 1+sqrt(2579)
 Running N+1 test using discriminant 2579, base 2+sqrt(2579)
 Calling N+1 BLS with factored part 93.33% and helper 0.00% (280.00% proof)
 69608!31-1 is prime! (52.4283s+0.0056s)(digits:9902)

 Primality testing 70603!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2371
 Running N+1 test using discriminant 2503, base 1+sqrt(2503)
 Running N+1 test using discriminant 2503, base 2+sqrt(2503)
 Calling N+1 BLS with factored part 93.11% and helper 0.00% (279.34% proof)
 70603!31-1 is prime! (53.0124s+0.0048s)(digits:10057) Marian Otremba 12/2014

 Primality testing 71541!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2689, base 1+sqrt(2689)
 Running N+1 test using discriminant 2689, base 2+sqrt(2689)
 Calling N+1 BLS with factored part 92.69% and helper 0.00% (278.07% proof)
 71541!31-1 is prime! (52.2658s+0.0053s)(digits:10204) Marian Otremba 12/2014

 Primality testing 72294!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2447, base 1+sqrt(2447)
 Running N+1 test using discriminant 2447, base 2+sqrt(2447)
 Calling N+1 BLS with factored part 93.29% and helper 0.00% (279.89% proof)
 72294!31-1 is prime! (53.9011s+0.0063s)(digits:10322) Marian Otremba 12/2014

 Primality testing 72425!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N-1 test using base 2663
 Running N+1 test using discriminant 3019, base 1+sqrt(3019)
 Running N+1 test using discriminant 3019, base 2+sqrt(3019)
 Calling N+1 BLS with factored part 93.05% and helper 0.01% (279.16% proof)
 72425!31-1 is prime! (56.6004s+0.0063s)(digits:10343) Marian Otremba 12/2014

 Primality testing 75169!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2579
 Running N+1 test using discriminant 2909, base 1+sqrt(2909)
 Running N+1 test using discriminant 2909, base 2+sqrt(2909)
 Calling N+1 BLS with factored part 93.38% and helper 0.00% (280.14% proof)
 75169!31-1 is prime! (58.2682s+0.0050s)(digits:10773) Marian Otremba 12/2014

 Primality testing 75680!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 2657, base 1+sqrt(2657)
 Running N+1 test using discriminant 2657, base 2+sqrt(2657)
 Calling N+1 BLS with factored part 93.03% and helper 0.05% (279.15% proof)
 75680!31-1 is prime! (56.1226s+0.0061s)(digits:10854) Marian Otremba 12/2014

 Primality testing 78290!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2713
 Running N+1 test using discriminant 2837, base 1+sqrt(2837)
 Running N+1 test using discriminant 2837, base 2+sqrt(2837)
 Calling N+1 BLS with factored part 93.57% and helper 0.00% (280.72% proof)
 78290!31-1 is prime! (62.2976s+0.0058s)(digits:11265) Marian Otremba 12/2014

 Primality testing 81575!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3023, base 1+sqrt(3023)
 Running N+1 test using discriminant 3023, base 2+sqrt(3023)
 Calling N+1 BLS with factored part 93.96% and helper 0.00% (281.87% proof)
 81575!31-1 is prime! (63.3329s+0.0085s)(digits:11785) Marian Otremba 12/2014

 Primality testing 81661!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 2957
 Running N+1 test using discriminant 3019, base 1+sqrt(3019)
 Running N+1 test using discriminant 3019, base 2+sqrt(3019)
 Calling N+1 BLS with factored part 93.26% and helper 0.00% (279.80% proof)
 81661!31-1 is prime! (63.7243s+0.0075s)(digits:11798) Marian Otremba 12/2014

 Primality testing 83951!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3083, base 1+sqrt(3083)
 Running N+1 test using discriminant 3083, base 2+sqrt(3083)
 Calling N+1 BLS with factored part 93.56% and helper 0.00% (280.67% proof)
 83951!31-1 is prime! (64.7631s+0.0054s)(digits:12162) Marian Otremba 12/2014

 Primality testing 86886!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3169
 Running N+1 test using discriminant 3433, base 1+sqrt(3433)
 Running N+1 test using discriminant 3433, base 2+sqrt(3433)
 Calling N+1 BLS with factored part 93.45% and helper 0.00% (280.35% proof)
 86886!31-1 is prime! (69.3319s+0.0073s)(digits:12628) Marian Otremba 12/2014

 Primality testing 87425!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3463, base 1+sqrt(3463)
 Running N+1 test using discriminant 3463, base 2+sqrt(3463)
 Calling N+1 BLS with factored part 93.45% and helper 0.00% (280.36% proof)
 87425!31-1 is prime! (67.0981s+0.0065s)(digits:12715) Marian Otremba 12/2014

 Primality testing 90409!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3571
 Running N+1 test using discriminant 3583, base 1+sqrt(3583)
 Running N+1 test using discriminant 3583, base 2+sqrt(3583)
 Calling N+1 BLS with factored part 93.81% and helper 0.00% (281.45% proof)
 90409!31-1 is prime! (97.3594s+0.0083s)(digits:13191) Marian Otremba 12/2014

 Primality testing 91653!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3083, base 1+sqrt(3083)
 Running N+1 test using discriminant 3083, base 2+sqrt(3083)
 Calling N+1 BLS with factored part 93.53% and helper 0.00% (280.59% proof)
 91653!31-1 is prime! (91.8888s+0.0074s)(digits:13390) Marian Otremba 12/2014

 Primality testing 92859!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3581, base 1+sqrt(3581)
 Running N+1 test using discriminant 3581, base 2+sqrt(3581)
 Calling N+1 BLS with factored part 94.05% and helper 0.00% (282.15% proof)
 92859!31-1 is prime! (94.5886s+0.0079s)(digits:13583) Marian Otremba 12/2014

 Primality testing 93484!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3323, base 1+sqrt(3323)
 Running N+1 test using discriminant 3323, base 2+sqrt(3323)
 Calling N+1 BLS with factored part 93.59% and helper 0.00% (280.76% proof)
 93484!31-1 is prime! (93.6885s+0.0064s)(digits:13683) Marian Otremba 12/2014

 Primality testing 94252!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3181, base 1+sqrt(3181)
 Running N+1 test using discriminant 3181, base 2+sqrt(3181)
 Calling N+1 BLS with factored part 93.88% and helper 0.03% (281.68% proof)
 94252!31-1 is prime! (95.2830s+0.0068s)(digits:13807) Marian Otremba 12/2014

 Primality testing 97932!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3533
 Running N+1 test using discriminant 3727, base 1+sqrt(3727)
 Running N+1 test using discriminant 3727, base 2+sqrt(3727)
 Calling N+1 BLS with factored part 93.84% and helper 0.00% (281.53% proof)
 97932!31-1 is prime! (102.8698s+0.0071s)(digits:14398) Marian Otremba 12/2014

 Primality testing 98449!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 3491, base 1+sqrt(3491)
 Running N+1 test using discriminant 3491, base 2+sqrt(3491)
 Calling N+1 BLS with factored part 93.72% and helper 0.00% (281.16% proof)
 98449!31-1 is prime! (102.1200s+0.0091s)(digits:14481) Marian Otremba 12/2014

 Primality testing 98452!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3631
 Running N+1 test using discriminant 3851, base 1+sqrt(3851)
 Running N+1 test using discriminant 3851, base 2+sqrt(3851)
 Calling N+1 BLS with factored part 93.78% and helper 0.03% (281.38% proof)
 98452!31-1 is prime! (102.6469s+0.0063s)(digits:14481) Marian Otremba 12/2014

 Primality testing 101172!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3631
 Running N+1 test using discriminant 3881, base 1+sqrt(3881)
 Running N+1 test using discriminant 3881, base 2+sqrt(3881)
 Calling N+1 BLS with factored part 93.87% and helper 0.00% (281.62% proof)
 101172!31-1 is prime! (102.6773s+0.0067s)(digits:14920) Marian Otremba 12/2014

 Primality testing 114969!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4159
 Running N+1 test using discriminant 4283, base 1+sqrt(4283)
 Running N+1 test using discriminant 4283, base 2+sqrt(4283)
 Calling N+1 BLS with factored part 93.79% and helper 0.00% (281.36% proof)
 114969!31-1 is prime! (153.0210s+0.0121s)(digits:17160) Marian Otremba 12/2014

 Primality testing 115164!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 3907
 Running N+1 test using discriminant 4201, base 1+sqrt(4201)
 Running N+1 test using discriminant 4201, base 2+sqrt(4201)
 Calling N+1 BLS with factored part 94.43% and helper 0.00% (283.28% proof)
 115164!31-1 is prime! (153.2345s+0.0093s)(digits:17192) Marian Otremba 12/2014

 Primality testing 119305!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4409
 Running N+1 test using discriminant 4483, base 1+sqrt(4483)
 Running N+1 test using discriminant 4483, base 2+sqrt(4483)
 Calling N+1 BLS with factored part 94.09% and helper 0.03% (282.29% proof)
 119305!31-1 is prime! (154.3914s+0.0099s)(digits:17870) Marian Otremba 12/2014

 Primality testing 122552!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4517
 Running N+1 test using discriminant 4547, base 1+sqrt(4547)
 Running N+1 test using discriminant 4547, base 2+sqrt(4547)
 Calling N+1 BLS with factored part 93.97% and helper 0.02% (281.94% proof)
 122552!31-1 is prime! (155.1882s+0.0128s)(digits:18402) Marian Otremba 12/2014

 Primality testing 122980!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 4261, base 1+sqrt(4261)
 Running N+1 test using discriminant 4261, base 2+sqrt(4261)
 Calling N+1 BLS with factored part 94.32% and helper 0.02% (282.98% proof)
 122980!31-1 is prime! (150.6799s+0.0128s)(digits:18472) Marian Otremba 12/2014

 Primality testing 125118!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4339
 Running N+1 test using discriminant 4463, base 1+sqrt(4463)
 Running N+1 test using discriminant 4463, base 2+sqrt(4463)
 Calling N+1 BLS with factored part 94.50% and helper 0.00% (283.49% proof)
 125118!31-1 is prime! (157.4525s+0.0115s)(digits:18823) Marian Otremba 12/2014

 Primality testing 130333!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4517
 Running N+1 test using discriminant 4703, base 1+sqrt(4703)
 Running N+1 test using discriminant 4703, base 2+sqrt(4703)
 Calling N+1 BLS with factored part 94.05% and helper 0.00% (282.15% proof)
 130333!31-1 is prime! (214.0811s+0.0132s)(digits:19683) Marian Otremba 12/2014

 Primality testing 132270!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 4657, base 1+sqrt(4657)
 Running N+1 test using discriminant 4657, base 2+sqrt(4657)
 Calling N+1 BLS with factored part 94.62% and helper 0.00% (283.86% proof)
 132270!31-1 is prime! (216.3193s+0.0124s)(digits:20002) Marian Otremba 12/2014

 Primality testing 134121!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4759
 Running N+1 test using discriminant 4831, base 1+sqrt(4831)
 Running N+1 test using discriminant 4831, base 2+sqrt(4831)
 Calling N+1 BLS with factored part 94.32% and helper 0.00% (282.95% proof)
 134121!31-1 is prime! (220.7077s+0.0156s)(digits:20308) Marian Otremba 12/2014

 Primality testing 134553!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 4513, base 1+sqrt(4513)
 Running N+1 test using discriminant 4513, base 2+sqrt(4513)
 Calling N+1 BLS with factored part 94.36% and helper 0.00% (283.09% proof)
 134553!31-1 is prime! (218.4531s+0.0110s)(digits:20380) Marian Otremba 12/2014

 Primality testing 137090!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4801
 Running N+1 test using discriminant 4987, base 1+sqrt(4987)
 Running N+1 test using discriminant 4987, base 2+sqrt(4987)
 Calling N+1 BLS with factored part 94.33% and helper 0.00% (282.99% proof)
 137090!31-1 is prime! (225.9043s+0.0131s)(digits:20800) Marian Otremba 12/2014

 Primality testing 139203!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 4969, base 1+sqrt(4969)
 Running N+1 test using discriminant 4969, base 2+sqrt(4969)
 Calling N+1 BLS with factored part 94.45% and helper 0.02% (283.39% proof)
 139203!31-1 is prime! (227.4919s+0.0160s)(digits:21150) Marian Otremba 12/2014

 Primality testing 139638!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 4729, base 1+sqrt(4729)
 Running N+1 test using discriminant 4729, base 2+sqrt(4729)
 Calling N+1 BLS with factored part 94.78% and helper 0.00% (284.34% proof)
 139638!31-1 is prime! (228.8421s+0.0140s)(digits:21222) Marian Otremba 12/2014

 Primality testing 143371!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4933
 Running N+1 test using discriminant 5119, base 1+sqrt(5119)
 Running N+1 test using discriminant 5119, base 2+sqrt(5119)
 Calling N+1 BLS with factored part 94.86% and helper 0.00% (284.57% proof)
 143371!31-1 is prime! (242.3026s+0.0131s)(digits:21842) Marian Otremba 12/2014

 Primality testing 145495!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5171
 Running N+1 test using discriminant 5297, base 1+sqrt(5297)
 Running N+1 test using discriminant 5297, base 2+sqrt(5297)
 Calling N+1 BLS with factored part 94.61% and helper 0.00% (283.82% proof)
 145495!31-1 is prime! (250.8782s+0.0170s)(digits:22196) Marian Otremba 12/2014

 Primality testing 145724!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5231
 Running N+1 test using discriminant 5351, base 1+sqrt(5351)
 Running N+1 test using discriminant 5351, base 2+sqrt(5351)
 Calling N+1 BLS with factored part 94.79% and helper 0.04% (284.43% proof)
 145724!31-1 is prime! (252.4449s+0.0165s)(digits:22234) Marian Otremba 12/2014

 Primality testing 147888!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 4973
 Running N+1 test using discriminant 5261, base 1+sqrt(5261)
 Running N+1 test using discriminant 5261, base 2+sqrt(5261)
 Calling N+1 BLS with factored part 94.52% and helper 0.00% (283.56% proof)
 147888!31-1 is prime! (253.3026s+0.0138s)(digits:22595) Marian Otremba 12/2014

 Primality testing 161287!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5431
 Running N+1 test using discriminant 5927, base 1+sqrt(5927)
 Running N+1 test using discriminant 5927, base 2+sqrt(5927)
 Calling N+1 BLS with factored part 94.98% and helper 0.00% (284.95% proof)
 161287!31-1 is prime! (283.4495s+0.0169s)(digits:24838) Marian Otremba 12/2014

 Primality testing 163409!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 5479, base 1+sqrt(5479)
 Running N+1 test using discriminant 5479, base 2+sqrt(5479)
 Calling N+1 BLS with factored part 94.64% and helper 0.01% (283.91% proof)
 163409!31-1 is prime! (278.3428s+0.0169s)(digits:25195) Marian Otremba 12/2014

 Primality testing 164294!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 5927, base 1+sqrt(5927)
 Running N+1 test using discriminant 5927, base 2+sqrt(5927)
 Calling N+1 BLS with factored part 95.05% and helper 0.00% (285.15% proof)
 164294!31-1 is prime! (283.4583s+0.0186s)(digits:25343) Marian Otremba 12/2014

 Primality testing 164532!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5503
 Running N+1 test using discriminant 5813, base 1+sqrt(5813)
 Running N+1 test using discriminant 5813, base 2+sqrt(5813)
 Calling N+1 BLS with factored part 94.61% and helper 0.00% (283.84% proof)
 164532!31-1 is prime! (288.0180s+0.0169s)(digits:25383) Marian Otremba 12/2014

 Primality testing 165751!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5741
 Running N+1 test using discriminant 5923, base 1+sqrt(5923)
 Running N+1 test using discriminant 5923, base 2+sqrt(5923)
 Calling N+1 BLS with factored part 95.05% and helper 0.00% (285.17% proof)
 165751!31-1 is prime! (292.3148s+0.0186s)(digits:25588) Marian Otremba 12/2014

 Primality testing 169471!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 5741
 Running N+1 test using discriminant 5927, base 1+sqrt(5927)
 Running N+1 test using discriminant 5927, base 2+sqrt(5927)
 Calling N+1 BLS with factored part 95.08% and helper 0.00% (285.25% proof)
 169471!31-1 is prime! (393.7712s+0.0178s)(digits:26215) Marian Otremba 12/2014

 Primality testing 170876!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 6353, base 1+sqrt(6353)
 Running N+1 test using discriminant 6353, base 2+sqrt(6353)
 Calling N+1 BLS with factored part 94.97% and helper 0.01% (284.91% proof)
 170876!31-1 is prime! (370.9467s+0.0210s)(digits:26453) Marian Otremba 12/2014

 Primality testing 177674!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 6311
 Running N+1 test using discriminant 6361, base 1+sqrt(6361)
 Running N+1 test using discriminant 6361, base 2+sqrt(6361)
 Calling N+1 BLS with factored part 94.75% and helper 0.00% (284.26% proof)
 177674!31-1 is prime! (393.8908s+0.0226s)(digits:27602) Marian Otremba 12/2014

 Primality testing 184443!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 6653
 Running N+1 test using discriminant 6703, base 1+sqrt(6703)
 Running N+1 test using discriminant 6703, base 2+sqrt(6703)
 Calling N+1 BLS with factored part 94.94% and helper 0.00% (284.82% proof)
 184443!31-1 is prime! (425.7051s+0.0228s)(digits:28750) Marian Otremba 12/2014

 Primality testing 203715!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 6961, base 1+sqrt(6961)
 Running N+1 test using discriminant 6961, base 2+sqrt(6961)
 Calling N+1 BLS with factored part 95.51% and helper 0.00% (286.53% proof)
 203715!31-1 is prime! (618.5109s+0.0273s)(digits:32037) Marian Otremba 12/2014

 Primality testing 204456!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7243
 Running N+1 test using discriminant 7853, base 1+sqrt(7853)
 Running N+1 test using discriminant 7853, base 2+sqrt(7853)
 Calling N+1 BLS with factored part 95.24% and helper 0.02% (285.74% proof)
 204456!31-1 is prime! (630.7510s+0.0209s)(digits:32164) Marian Otremba 12/2014

 Primality testing 208783!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7039
 Running N+1 test using discriminant 7411, base 1+sqrt(7411)
 Running N+1 test using discriminant 7411, base 2+sqrt(7411)
 Calling N+1 BLS with factored part 95.27% and helper 0.00% (285.82% proof)
 208783!31-1 is prime! (597.1402s+0.0250s)(digits:32906) Marian Otremba 12/2014

 Primality testing 210829!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 7039, base 1+sqrt(7039)
 Running N+1 test using discriminant 7039, base 2+sqrt(7039)
 Calling N+1 BLS with factored part 95.30% and helper 0.01% (285.92% proof)
 210829!31-1 is prime! (593.3530s+0.0272s)(digits:33257) Marian Otremba 12/2014

 Primality testing 211931!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7177
 Running N+1 test using discriminant 7541, base 1+sqrt(7541)
 Running N+1 test using discriminant 7541, base 2+sqrt(7541)
 Calling N+1 BLS with factored part 95.41% and helper 0.00% (286.24% proof)
 211931!31-1 is prime! (640.6316s+0.0254s)(digits:33447) Marian Otremba 12/2014

 Primality testing 215933!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7639
 Running N+1 test using discriminant 7741, base 1+sqrt(7741)
 Running N+1 test using discriminant 7741, base 2+sqrt(7741)
 Calling N+1 BLS with factored part 95.39% and helper 0.00% (286.16% proof)
 215933!31-1 is prime! (657.1302s+0.0250s)(digits:34135) Marian Otremba 12/2014

 Primality testing 219772!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 7489, base 1+sqrt(7489)
 Running N+1 test using discriminant 7489, base 2+sqrt(7489)
 Calling N+1 BLS with factored part 95.29% and helper 0.00% (285.86% proof)
 219772!31-1 is prime! (651.2204s+0.0265s)(digits:34796) Marian Otremba 12/2014

 Primality testing 222311!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7523
 Running N+1 test using discriminant 8081, base 1+sqrt(8081)
 Running N+1 test using discriminant 8081, base 2+sqrt(8081)
 Calling N+1 BLS with factored part 95.36% and helper 0.00% (286.07% proof)
 222311!31-1 is prime! (677.6994s+0.0300s)(digits:35234) Marian Otremba 12/2014

 Primality testing 225790!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7547
 Running N+1 test using discriminant 7919, base 1+sqrt(7919)
 Running N+1 test using discriminant 7919, base 2+sqrt(7919)
 Calling N+1 BLS with factored part 95.37% and helper 0.00% (286.10% proof)
 225790!31-1 is prime! (673.8457s+0.0320s)(digits:35834) Marian Otremba 12/2014

 Primality testing 226860!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7717
 Running N+1 test using discriminant 7873, base 1+sqrt(7873)
 Running N+1 test using discriminant 7873, base 2+sqrt(7873)
 Calling N+1 BLS with factored part 95.47% and helper 0.00% (286.42% proof)
 226860!31-1 is prime! (675.3750s+0.0285s)(digits:36019) Marian Otremba 12/2014

 Primality testing 230289!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 8039
 Running N+1 test using discriminant 8363, base 1+sqrt(8363)
 Running N+1 test using discriminant 8363, base 2+sqrt(8363)
 Calling N+1 BLS with factored part 95.57% and helper 0.00% (286.71% proof)
 230289!31-1 is prime! (688.2881s+0.0311s)(digits:36612) Marian Otremba 12/2014

 Primality testing 232993!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 7877
 Running N+1 test using discriminant 8387, base 1+sqrt(8387)
 Running N+1 test using discriminant 8387, base 2+sqrt(8387)
 Calling N+1 BLS with factored part 95.73% and helper 0.00% (287.18% proof)
 232993!31-1 is prime! (919.5682s+0.0336s)(digits:37079) Marian Otremba 12/2014

 Primality testing 247865!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 8443, base 1+sqrt(8443)
 Running N+1 test using discriminant 8443, base 2+sqrt(8443)
 Calling N+1 BLS with factored part 95.73% and helper 0.00% (287.19% proof)
 247865!31-1 is prime! (968.4789s+0.0360s)(digits:39661) Marian Otremba 12/2014

 Primality testing 262331!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9187
 Running N+1 test using discriminant 9311, base 1+sqrt(9311)
 Running N+1 test using discriminant 9311, base 2+sqrt(9311)
 Calling N+1 BLS with factored part 95.59% and helper 0.00% (286.76% proof)
 262331!31-1 is prime! (1089.7795s+0.0383s)(digits:42184) Marian Otremba 12/2014

 Primality testing 264657!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 8887, base 1+sqrt(8887)
 Running N+1 test using discriminant 8887, base 2+sqrt(8887)
 Calling N+1 BLS with factored part 95.64% and helper 0.00% (286.92% proof)
 264657!31-1 is prime! (1073.1925s+0.0352s)(digits:42591) Marian Otremba 12/2014

 Primality testing 267103!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9281
 Running N+1 test using discriminant 9293, base 1+sqrt(9293)
 Running N+1 test using discriminant 9293, base 2+sqrt(9293)
 Calling N+1 BLS with factored part 95.64% and helper 0.01% (286.93% proof)
 267103!31-1 is prime! (1124.5100s+0.0428s)(digits:43019) Marian Otremba 12/2014

 Primality testing 268355!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 8971, base 1+sqrt(8971)
 Running N+1 test using discriminant 8971, base 2+sqrt(8971)
 Calling N+1 BLS with factored part 95.58% and helper 0.00% (286.73% proof)
 268355!31-1 is prime! (1097.6293s+0.0384s)(digits:43238) Marian Otremba 12/2014

 Primality testing 269807!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9719
 Running N+1 test using discriminant 9781, base 1+sqrt(9781)
 Running N+1 test using discriminant 9781, base 2+sqrt(9781)
 Calling N+1 BLS with factored part 95.69% and helper 0.00% (287.09% proof)
 269807!31-1 is prime! (1124.0843s+0.0437s)(digits:43492) Marian Otremba 12/2014

 Primality testing 269821!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 9241, base 1+sqrt(9241)
 Running N+1 test using discriminant 9241, base 2+sqrt(9241)
 Calling N+1 BLS with factored part 95.76% and helper 0.00% (287.27% proof)
 269821!31-1 is prime! (1097.3749s+0.0431s)(digits:43494) Marian Otremba 12/2014

 Primality testing 270094!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9413
 Running N+1 test using discriminant 9923, base 1+sqrt(9923)
 Running N+1 test using discriminant 9923, base 2+sqrt(9923)
 Calling N+1 BLS with factored part 95.60% and helper 0.00% (286.81% proof)
 270094!31-1 is prime! (1131.3366s+0.0392s)(digits:43543) Marian Otremba 12/2014

 Primality testing 275789!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 9349, base 1+sqrt(9349)
 Running N+1 test using discriminant 9349, base 2+sqrt(9349)
 Calling N+1 BLS with factored part 95.62% and helper 0.00% (286.87% proof)
 275789!31-1 is prime! (1137.8070s+0.0360s)(digits:44541) Marian Otremba 12/2014

 Primality testing 279697!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9533
 Running N+1 test using discriminant 9719, base 1+sqrt(9719)
 Running N+1 test using discriminant 9719, base 2+sqrt(9719)
 Calling N+1 BLS with factored part 95.77% and helper 0.02% (287.35% proof)
 279697!31-1 is prime! (1191.0372s+0.0467s)(digits:45228) Marian Otremba 12/2014

 Primality testing 285966!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 9743
 Running N+1 test using discriminant 10301, base 1+sqrt(10301)
 Running N+1 test using discriminant 10301, base 2+sqrt(10301)
 Calling N+1 BLS with factored part 95.69% and helper 0.00% (287.09% proof)
 285966!31-1 is prime! (1211.7446s+0.0489s)(digits:46330) Marian Otremba 12/2014

 Primality testing 322602!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 11113, base 1+sqrt(11113)
 Running N+1 test using discriminant 11113, base 2+sqrt(11113)
 Calling N+1 BLS with factored part 95.85% and helper 0.00% (287.55% proof)
 322602!31-1 is prime! (1586.0507s+0.0601s)(digits:52810) Marian Otremba 12/2014

 Primality testing 325361!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 11423
 Running N+1 test using discriminant 11909, base 1+sqrt(11909)
 Running N+1 test using discriminant 11909, base 2+sqrt(11909)
 Calling N+1 BLS with factored part 95.85% and helper 0.00% (287.57% proof)
 325361!31-1 is prime! (1621.6922s+0.0558s)(digits:53300) Marian Otremba 12/2014

 Primality testing 346664!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 12037, base 1+sqrt(12037)
 Running N+1 test using discriminant 12037, base 2+sqrt(12037)
 Calling N+1 BLS with factored part 95.98% and helper 0.00% (287.94% proof)
 346664!31-1 is prime! (2310.9777s+0.0631s)(digits:57098) Marian Otremba 12/2014

 Primality testing 359541!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 12149
 Running N+1 test using discriminant 12583, base 1+sqrt(12583)
 Running N+1 test using discriminant 12583, base 2+sqrt(12583)
 Calling N+1 BLS with factored part 96.08% and helper 0.01% (288.26% proof)
 359541!31-1 is prime! (2071.0380s+0.0738s)(digits:59402) Marian Otremba 12/2014

 Primality testing 360161!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 12569, base 1+sqrt(12569)
 Running N+1 test using discriminant 12569, base 2+sqrt(12569)
 Calling N+1 BLS with factored part 96.08% and helper 0.01% (288.25% proof)
 360161!31-1 is prime! (2032.4097s+0.0730s)(digits:59514) Marian Otremba 12/2014

 Primality testing 365520!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 12959
 Running N+1 test using discriminant 13103, base 1+sqrt(13103)
 Running N+1 test using discriminant 13103, base 2+sqrt(13103)
 Calling N+1 BLS with factored part 95.98% and helper 0.00% (287.93% proof)
 365520!31-1 is prime! (2095.3932s+0.0769s)(digits:60474) Marian Otremba 12/2014

 Primality testing 373588!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 12517
 Running N+1 test using discriminant 12889, base 1+sqrt(12889)
 Running N+1 test using discriminant 12889, base 2+sqrt(12889)
 Calling N+1 BLS with factored part 96.08% and helper 0.01% (288.23% proof)
 373588!31-1 is prime! (2873.7173s+0.0762s)(digits:61924) Marian Otremba 12/2014

 Primality testing 374001!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 13151, base 1+sqrt(13151)
 Running N+1 test using discriminant 13151, base 2+sqrt(13151)
 Calling N+1 BLS with factored part 96.15% and helper 0.00% (288.45% proof)
 374001!31-1 is prime! (2834.4779s+0.0741s)(digits:61998) Marian Otremba 12/2014

 Primality testing 392162!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 13411, base 1+sqrt(13411)
 Running N+1 test using discriminant 13411, base 2+sqrt(13411)
 Calling N+1 BLS with factored part 96.07% and helper 0.00% (288.22% proof)
 392162!31-1 is prime! (3259.5052s+0.0780s)(digits:65269) Marian Otremba 12/2014

 Primality testing 408687!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 13967, base 1+sqrt(13967)
 Running N+1 test using discriminant 13967, base 2+sqrt(13967)
 Calling N+1 BLS with factored part 96.02% and helper 0.00% (288.05% proof)
 408687!31-1 is prime! (2805.4043s+0.0809s)(digits:68255) Marian Otremba 12/2014

 Primality testing 409454!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 13913
 Running N+1 test using discriminant 14533, base 1+sqrt(14533)
 Running N+1 test using discriminant 14533, base 2+sqrt(14533)
 Calling N+1 BLS with factored part 96.12% and helper 0.01% (288.37% proof)
 409454!31-1 is prime! (2827.1208s+0.0859s)(digits:68394) Marian Otremba 12/2014

 Primality testing 416356!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 14699
 Running N+1 test using discriminant 14867, base 1+sqrt(14867)
 Running N+1 test using discriminant 14867, base 2+sqrt(14867)
 Calling N+1 BLS with factored part 96.16% and helper 0.00% (288.47% proof)
 416356!31-1 is prime! (2875.9637s+0.0897s)(digits:69644) Marian Otremba 12/2014

 Primality testing 422502!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 14753
 Running N+1 test using discriminant 14939, base 1+sqrt(14939)
 Running N+1 test using discriminant 14939, base 2+sqrt(14939)
 Calling N+1 BLS with factored part 96.19% and helper 0.01% (288.58% proof)
 422502!31-1 is prime! (2937.9654s+0.0952s)(digits:70759) Marian Otremba 12/2014

 Primality testing 427099!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 14713, base 1+sqrt(14713)
 Running N+1 test using discriminant 14713, base 2+sqrt(14713)
 Calling N+1 BLS with factored part 96.17% and helper 0.00% (288.51% proof)
 427099!31-1 is prime! (2882.0090s+0.0988s)(digits:71594) Marian Otremba 12/2014

 Primality testing 450137!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 15173, base 1+sqrt(15173)
 Running N+1 test using discriminant 15173, base 2+sqrt(15173)
 Calling N+1 BLS with factored part 96.44% and helper 0.00% (289.33% proof)
 450137!31-1 is prime! (4218.8562s+0.1187s)(digits:75787) Marian Otremba 12/2014

 Primality testing 454777!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 15307
 Running N+1 test using discriminant 15493, base 1+sqrt(15493)
 Running N+1 test using discriminant 15493, base 2+sqrt(15493)
 Calling N+1 BLS with factored part 96.32% and helper 0.00% (288.95% proof)
 454777!31-1 is prime! (4299.4737s+0.1144s)(digits:76634) Marian Otremba 12/2014

 Primality testing 466593!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 15643
 Running N+1 test using discriminant 16139, base 1+sqrt(16139)
 Running N+1 test using discriminant 16139, base 2+sqrt(16139)
 Calling N+1 BLS with factored part 96.29% and helper 0.00% (288.87% proof)
 466593!31-1 is prime! (4809.4608s+0.1139s)(digits:78792) Marian Otremba 12/2014

 Primality testing 470509!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 15881
 Running N+1 test using discriminant 16253, base 1+sqrt(16253)
 Running N+1 test using discriminant 16253, base 2+sqrt(16253)
 Calling N+1 BLS with factored part 96.43% and helper 0.00% (289.28% proof)
 470509!31-1 is prime! (4834.1120s+0.1167s)(digits:79508) Marian Otremba 12/2014

 Primality testing 479498!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 16993, base 1+sqrt(16993)
 Running N+1 test using discriminant 16993, base 2+sqrt(16993)
 Calling N+1 BLS with factored part 96.35% and helper 0.00% (289.05% proof)
 479498!31-1 is prime! (4158.5373s+0.1182s)(digits:81154) Marian Otremba 12/2014

 Primality testing 487152!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 16381, base 1+sqrt(16381)
 Running N+1 test using discriminant 16381, base 2+sqrt(16381)
 Calling N+1 BLS with factored part 96.34% and helper 0.00% (289.04% proof)
 487152!31-1 is prime! (4213.4886s+0.1211s)(digits:82558) Marian Otremba 12/2014

 Primality testing 498572!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 16741
 Running N+1 test using discriminant 17609, base 1+sqrt(17609)
 Running N+1 test using discriminant 17609, base 2+sqrt(17609)
 Calling N+1 BLS with factored part 96.32% and helper 0.00% (288.95% proof)
 498572!31-1 is prime! (4464.5544s+0.1353s)(digits:84655) Marian Otremba 12/2014

 Primality testing 510350!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 17053, base 1+sqrt(17053)
 Running N+1 test using discriminant 17053, base 2+sqrt(17053)
 Calling N+1 BLS with factored part 96.34% and helper 0.00% (289.01% proof)
 510350!31-1 is prime! (6142.8833s+0.1297s)(digits:86821) Marian Otremba 12/2014

 Primality testing 512693!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 18143, base 1+sqrt(18143)
 Running N+1 test using discriminant 18143, base 2+sqrt(18143)
 Calling N+1 BLS with factored part 96.28% and helper 0.00% (288.83% proof)
 512693!31-1 is prime! (6281.3256s+0.1414s)(digits:87253) Marian Otremba 12/2014

 Primality testing 522452!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 17909
 Running N+1 test using discriminant 17971, base 1+sqrt(17971)
 Running N+1 test using discriminant 17971, base 2+sqrt(17971)
 Calling N+1 BLS with factored part 96.46% and helper 0.00% (289.37% proof)
 522452!31-1 is prime! (6482.2712s+0.1444s)(digits:89052) Marian Otremba 12/2014

 Primality testing 524152!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 18257, base 1+sqrt(18257)
 Running N+1 test using discriminant 18257, base 2+sqrt(18257)
 Calling N+1 BLS with factored part 96.40% and helper 0.00% (289.19% proof)
 524152!31-1 is prime! (6205.1816s+0.1464s)(digits:89366) Marian Otremba 12/2014

 Primality testing 578789!31-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
 Running N-1 test using base 31
 Running N+1 test using discriminant 19387, base 1+sqrt(19387)
 Running N+1 test using discriminant 19387, base 2+sqrt(19387)
 Calling N+1 BLS with factored part 96.51% and helper 0.00% (289.54% proof)
 578789!31-1 is prime! (6258.3361s+0.1590s)(digits:99485) Marian Otremba 12/2014

 Primality testing 607494!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.58%
 607494!31-1 is prime! (999.9502s+0.3448s)(digits:104830) Marian Otremba 03/2023

 Primality testing 608621!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 20369, base 1+sqrt(20369)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.57%
 608621!31-1 is prime! (1039.5990s+0.3335s)(digits:105040) Marian Otremba 03/2023

 Primality testing 648716!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 22093, base 1+sqrt(22093)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.41%
 648716!31-1 is prime! (1545.3968s+0.4035s)(digits:112540) Marian Otremba 03/2023

 Primality testing 649382!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.40%
 649382!31-1 is prime! (1368.2309s+0.4427s)(digits:112665) Marian Otremba 03/2023

 Primality testing 663652!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.35%
 663652!31-1 is prime! (1127.5493s+0.2938s)(digits:115343) Marian Otremba 03/2023

 Primality testing 672557!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.65%
 672557!31-1 is prime! (1139.1899s+0.1803s)(digits:117016) Marian Otremba 03/2023

 Primality testing 678474!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.64%
 678474!31-1 is prime! (1157.2904s+0.1915s)(digits:118129) Marian Otremba 03/2023

 Primality testing 738319!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.40%
 738319!31-1 is prime! (1636.0826s+0.3341s)(digits:129422) Marian Otremba 03/2023

 Primality testing 789841!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 26947, base 1+sqrt(26947)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.56%
 789841!31-1 is prime! (1882.9813s+0.2497s)(digits:139200) Marian Otremba 03/2023

 Primality testing 812576!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.49%
 812576!31-1 is prime! (1875.6494s+0.4089s)(digits:143530) Marian Otremba 03/2023

 Primality testing 815381!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.48%
 815381!31-1 is prime! (1764.3055s+0.2670s)(digits:144065) Marian Otremba 03/2023

 Primality testing 819989!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.46%
 819989!31-1 is prime! (1809.5650s+0.2676s)(digits:144944) Marian Otremba 03/2023

 Primality testing 840893!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 28409, base 1+sqrt(28409)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.40%
 840893!31-1 is prime! (2847.5095s+0.4140s)(digits:148935) Marian Otremba 03/2023

 Primality testing 843849!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.39%
 843849!31-1 is prime! (2435.9610s+0.3069s)(digits:149500) Marian Otremba 03/2023

 Primality testing 847647!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.37%
 847647!31-1 is prime! (2388.3759s+0.2882s)(digits:150226) Marian Otremba 03/2023

 Primality testing 867511!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 29009, base 1+sqrt(29009)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.62%
 867511!31-1 is prime! (2237.3580s+0.3200s)(digits:154028) Marian Otremba 03/2023

 Primality testing 904113!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31033, base 1+sqrt(31033)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.50%
 904113!31-1 is prime! (2745.8273s+0.3195s)(digits:161050) Marian Otremba 03/2023

 Primality testing 923879!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.45%
 923879!31-1 is prime! (2797.6796s+0.3361s)(digits:164851) Marian Otremba 03/2023

 Primality testing 930052!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31723, base 1+sqrt(31723)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.42%
 930052!31-1 is prime! (2872.3546s+0.3655s)(digits:166039) Marian Otremba 03/2023

 Primality testing 943862!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.39%
 943862!31-1 is prime! (2895.9795s+0.4254s)(digits:168700) Marian Otremba 03/2023

 Primality testing 959804!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 32537, base 1+sqrt(32537)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.34%
 959804!31-1 is prime! (3046.1912s+0.6388s)(digits:171774) Marian Otremba 03/2023

 Primality testing 963490!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.34%
 963490!31-1 is prime! (3117.0774s+0.5709s)(digits:172486) Marian Otremba 03/2023

 Primality testing 964866!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 32497, base 1+sqrt(32497)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.62%
 964866!31-1 is prime! (3134.8984s+0.3701s)(digits:172751) Marian Otremba 03/2023

 Primality testing 1010429!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 33961, base 1+sqrt(33961)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.50%
 1010429!31-1 is prime! (3280.7585s+0.4037s)(digits:181562) Marian Otremba 03/2023

 Primality testing 1067667!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 37483, base 1+sqrt(37483)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.36%
 1067667!31-1 is prime! (3665.7853s+0.7427s)(digits:192670) Marian Otremba 03/2023

 Primality testing 1072893!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.35%
 1072893!31-1 is prime! (3663.4738s+0.4701s)(digits:193687) Marian Otremba 03/2023

 Primality testing 1073249!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.35%
 1073249!31-1 is prime! (3700.0940s+0.4612s)(digits:193756) Marian Otremba 03/2023

 Primality testing 1114876!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 37363, base 1+sqrt(37363)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.53%
 1114876!31-1 is prime! (6017.7018s+0.4906s)(digits:201866) Marian Otremba 04/2023

 Primality testing 1141682!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 38953, base 1+sqrt(38953)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.47%
 1141682!31-1 is prime! (5106.3257s+0.5765s)(digits:207099) Marian Otremba 04/2023

 Primality testing 1189335!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 39877, base 1+sqrt(39877)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.37%
 1189335!31-1 is prime! (5216.9043s+0.5596s)(digits:216425) Marian Otremba 04/2023

 Primality testing 1293216!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 43597, base 1+sqrt(43597)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.43%
 1293216!31-1 is prime! (6601.2278s+1.1547s)(digits:236845) Marian Otremba 04/2023

 Primality testing 1329854!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.36%
 1329854!31-1 is prime! (6596.9379s+0.9782s)(digits:244075) Marian Otremba 04/2023

 Primality testing 1358990!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.55%
 1358990!31-1 is prime! (8595.3319s+1.1435s)(digits:249835) Marian Otremba 05/2023

 Primality testing 1361650!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.55%
 1361650!31-1 is prime! (8724.6236s+0.8512s)(digits:250362) Marian Otremba 05/2023

 Primality testing 1393188!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.49%
 1393188!31-1 is prime! (7471.9205s+1.0544s)(digits:256607) Marian Otremba 05/2023

 Primality testing 1558821!31-1 [N+1, Brillhart-Lehmer-Selfridge]
 Running N+1 test using discriminant 31, base 1+sqrt(31)
 Calling Brillhart-Lehmer-Selfridge with factored part 33.46%
 1558821!31-1 is prime! (7504.7189s+1.2467s)(digits:289567) Marian Otremba 06/2023