21!19-1 trivially factors prime!: 41 (digits:2) 25!19-1 trivially factors prime!: 149 (digits:3) 26!19-1 trivially factors prime!: 181 (digits:3) 28!19-1 trivially factors prime!: 251 (digits:3) 33!19-1 trivially factors prime!: 461 (digits:3) 34!19-1 trivially factors prime!: 509 (digits:3) 42!19-1 trivially factors prime!: 3863 (digits:4) 44!19-1 trivially factors prime!: 6599 (digits:4) 52!19-1 trivially factors prime!: 24023 (digits:5) 59!19-1 trivially factors prime!: 99119 (digits:5) 60!19-1 trivially factors prime!: 162359 (digits:6) 62!19-1 trivially factors prime!: 319919 (digits:6) 63!19-1 trivially factors prime!: 415799 (digits:6) 65!19-1 trivially factors prime!: 645839 (digits:6) 68!19-1 trivially factors prime!: 1099559 (digits:7) 73!19-1 trivially factors prime!: 2207519 (digits:7) 76!19-1 trivially factors prime!: 3127703 (digits:7) 80!19-1 trivially factors prime!: 18856319 (digits:8) 81!19-1 trivially factors prime!: 25913519 (digits:8) 87!19-1 trivially factors prime!: 95661719 (digits:8) 93!19-1 trivially factors prime!: 231648119 (digits:9) 94!19-1 trivially factors prime!: 262936799 (digits:9) 97!19-1 trivially factors prime!: 749941919 (digits:9) 98!19-1 trivially factors prime!: 1256991119 (digits:10) Primality testing 108!19-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 108!19-1 is prime! (0.0141s+0.0007s) (digits:11) Primality testing 111!19-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 111!19-1 is prime! (0.0143s+0.0006s) (digits:11) Primality testing 122!19-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 122!19-1 is prime! (0.0163s+0.0007s) (digits:12) Primality testing 123!19-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 123!19-1 is prime! (0.0124s+0.0009s) (digits:12) Primality testing 124!19-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 124!19-1 is prime! (0.0154s+0.0008s) (digits:13) Primality testing 138!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 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 2.22% (302.22% proof) 138!19-1 is prime! (0.0118s+0.0533s) (digits:14) Primality testing 140!19-1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Calling Brillhart-Lehmer-Selfridge with factored part 34.78% 1/0 140!19-1 is prime! (0.0050s+0.0006s) (digits:14) Primality testing 167!19-1 [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 25.45% (329.09% proof) 167!19-1 is prime! (0.0142s+0.0010s) (digits:17) Primality testing 174!19-1 [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 17.24% (320.69% proof) 174!19-1 is prime! (0.0149s+0.0054s) (digits:18) Primality testing 181!19-1 [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 1.64% (304.92% proof) 181!19-1 is prime! (0.0148s+0.0010s) (digits:19) Primality testing 192!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 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 23.08% (326.15% proof) 192!19-1 is prime! (0.0259s+0.0014s) (digits:20) Primality testing 198!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 25.00% (329.41% proof) 198!19-1 is prime! (0.0092s+0.0012s) (digits:21) Primality testing 200!19-1 [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 8.70% (311.59% proof) 200!19-1 is prime! (0.0255s+0.0019s) (digits:21) Primality testing 201!19-1 [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 11.59% (315.94% proof) 201!19-1 is prime! (0.0171s+0.0013s) (digits:22) Primality testing 214!19-1 [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 14.67% (316.00% proof) 214!19-1 is prime! (0.0259s+0.0024s) (digits:23) Primality testing 215!19-1 [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 1.33% (304.00% proof) 215!19-1 is prime! (0.0188s+0.0096s) (digits:23) Primality testing 226!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 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 1.27% (301.27% proof) 226!19-1 is prime! (0.0093s+0.0066s) (digits:24) Primality testing 234!19-1 [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 1.20% (303.61% proof) 234!19-1 is prime! (0.0077s+0.0008s) (digits:26) Primality testing 235!19-1 [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 1.19% (301.19% proof) 235!19-1 is prime! (0.0091s+0.0052s) (digits:26) Primality testing 238!19-1 [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 1.18% (301.18% proof) 238!19-1 is prime! (0.0116s+0.0017s) (digits:26) Primality testing 255!19-1 [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 10.87% (311.96% proof) 255!19-1 is prime! (0.0091s+0.0013s) (digits:28) Primality testing 260!19-1 [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 7.45% (307.45% proof) 260!19-1 is prime! (0.0089s+0.0011s) (digits:29) Primality testing 283!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 8.74% (310.68% proof) 283!19-1 is prime! (0.0088s+0.0012s) (digits:32) Primality testing 291!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 67 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 7.48% (309.35% proof) 291!19-1 is prime! (0.0083s+0.0012s) (digits:33) Primality testing 313!19-1 [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 21.37% (322.22% proof) 313!19-1 is prime! (0.0099s+0.0010s) (digits:36) Primality testing 369!19-1 [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 0.70% (301.41% proof) 369!19-1 is prime! (0.0102s+0.0009s) (digits:43) Primality testing 370!19-1 [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 10.56% (311.97% proof) 370!19-1 is prime! (0.0095s+0.0012s) (digits:44) Primality testing 376!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 4.17% (306.25% proof) 376!19-1 is prime! (0.0096s+0.0011s) (digits:44) Primality testing 382!19-1 [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 4.76% (306.12% proof) 382!19-1 is prime! (0.0095s+0.0012s) (digits:45) Primality testing 385!19-1 [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 0.67% (301.34% proof) 385!19-1 is prime! (0.0094s+0.0009s) (digits:46) Primality testing 415!19-1 [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 4.94% (306.17% proof) 415!19-1 is prime! (0.0093s+0.0009s) (digits:49) Primality testing 436!19-1 [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 6.43% (308.19% proof) 436!19-1 is prime! (0.0101s+0.0010s) (digits:52) Primality testing 442!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.57% (301.71% proof) 442!19-1 is prime! (0.0112s+0.0011s) (digits:53) Primality testing 464!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 3.76% (303.76% proof) 464!19-1 is prime! (0.0106s+0.0009s) (digits:57) Primality testing 470!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 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 0.53% (301.06% proof) 470!19-1 is prime! (0.0108s+0.0012s) (digits:57) Primality testing 489!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 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 100.00% and helper 3.55% (303.55% proof) 489!19-1 is prime! (0.0101s+0.0010s) (digits:60) Primality testing 582!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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) 582!19-1 is prime! (0.0112s+0.0009s) (digits:73) Primality testing 641!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 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 2.96% (303.33% proof) 641!19-1 is prime! (0.0133s+0.0009s) (digits:82) Primality testing 664!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.36% (300.36% proof) 664!19-1 is prime! (0.0135s+0.0017s) (digits:85) Primality testing 804!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 71 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 100.00% and helper 0.28% (300.85% proof) 804!19-1 is prime! (0.0165s+0.0011s) (digits:107) Primality testing 912!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 67 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 100.00% and helper 2.22% (302.96% proof) 912!19-1 is prime! (0.0134s+0.0009s) (digits:123) Primality testing 924!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 2.17% (302.17% proof) 924!19-1 is prime! (0.0196s+0.0010s) (digits:125) Primality testing 944!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.24% (300.47% proof) 944!19-1 is prime! (0.0200s+0.0009s) (digits:128) Primality testing 960!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.23% (300.23% proof) 960!19-1 is prime! (0.0198s+0.0011s) (digits:131) Primality testing 992!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.22% (300.67% proof) 992!19-1 is prime! (0.0210s+0.0012s) (digits:136) Primality testing 1052!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 79 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 100.00% and helper 0.21% (300.42% proof) 1052!19-1 is prime! (0.0217s+0.0009s) (digits:145) Primality testing 1059!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.21% (300.62% proof) 1059!19-1 is prime! (0.0229s+0.0012s) (digits:146) Primality testing 1178!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 67 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 100.00% and helper 3.29% (303.47% proof) 1178!19-1 is prime! (0.0157s+0.0010s) (digits:165) Primality testing 1191!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 0.18% (300.18% proof) 1191!19-1 is prime! (0.0240s+0.0011s) (digits:168) Primality testing 1325!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 103 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 100.00% and helper 0.16% (300.48% proof) 1325!19-1 is prime! (0.0325s+0.0012s) (digits:190) Primality testing 1409!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.15% (300.15% proof) 1409!19-1 is prime! (0.0351s+0.0012s) (digits:203) Primality testing 1410!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.15% (300.45% proof) 1410!19-1 is prime! (0.0352s+0.0009s) (digits:204) Primality testing 1436!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 103 Running N+1 test using discriminant 173, base 1+sqrt(173) Running N+1 test using discriminant 173, base 2+sqrt(173) Calling N+1 BLS with factored part 100.00% and helper 2.32% (302.47% proof) 1436!19-1 is prime! (0.0485s+0.0015s) (digits:208) Primality testing 1439!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 3.04% (303.33% proof) 1439!19-1 is prime! (0.0660s+0.0012s) (digits:208) Primality testing 1448!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.14% (300.43% proof) 1448!19-1 is prime! (0.0426s+0.0016s) (digits:210) Primality testing 1510!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.96% (301.23% proof) 1510!19-1 is prime! (0.0902s+0.0025s) (digits:220) Primality testing 1657!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.12% (300.25% proof) 1657!19-1 is prime! (0.0995s+0.0047s) (digits:245) Primality testing 1744!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 149 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 100.00% and helper 0.12% (300.12% proof) 1744!19-1 is prime! (0.0964s+0.0183s) (digits:260) Primality testing 1750!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.12% (300.23% proof) 1750!19-1 is prime! (0.0955s+0.0127s) (digits:261) Primality testing 1757!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.12% (300.12% proof) 1757!19-1 is prime! (0.0855s+0.0124s) (digits:262) Primality testing 1791!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 109 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 100.00% and helper 1.13% (301.35% proof) 1791!19-1 is prime! (0.0904s+0.0262s) (digits:268) Primality testing 1953!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 137, base 1+sqrt(137) Running N+1 test using discriminant 137, base 3+sqrt(137) Calling N+1 BLS with factored part 100.00% and helper 0.10% (300.31% proof) 1953!19-1 is prime! (0.0872s+0.0038s) (digits:296) Primality testing 1966!19-1 [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 0.10% (300.30% proof) 1966!19-1 is prime! (0.0727s+0.0084s) (digits:298) Primality testing 2086!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 137 Running N+1 test using discriminant 223, base 1+sqrt(223) Running N+1 test using discriminant 223, base 2+sqrt(223) Calling N+1 BLS with factored part 100.00% and helper 0.09% (300.19% proof) 2086!19-1 is prime! (0.0865s+0.0074s) (digits:319) Primality testing 2121!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 1.86% (301.95% proof) 2121!19-1 is prime! (0.0771s+0.0098s) (digits:325) Primality testing 2267!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 97.08% and helper 0.09% (291.49% proof) 2267!19-1 is prime! (0.0779s+0.0083s) (digits:351) Primality testing 2312!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 139, base 1+sqrt(139) Running N+1 test using discriminant 139, base 2+sqrt(139) Calling N+1 BLS with factored part 96.30% and helper 0.84% (289.91% proof) 2312!19-1 is prime! (0.0823s+0.0038s) (digits:359) Primality testing 2336!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 98.17% and helper 0.08% (294.60% proof) 2336!19-1 is prime! (0.0740s+0.0017s) (digits:363) Primality testing 2526!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 97.49% and helper 0.76% (293.31% proof) 2526!19-1 is prime! (0.0918s+0.0017s) (digits:397) Primality testing 2693!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 157 Running N+1 test using discriminant 283, base 1+sqrt(283) Running N+1 test using discriminant 283, base 2+sqrt(283) Calling N+1 BLS with factored part 93.64% and helper 0.07% (281.00% proof) 2693!19-1 is prime! (0.0804s+0.0014s) (digits:427) Primality testing 2869!19-1 [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 0.07% (300.13% proof) 2869!19-1 is prime! (0.0628s+0.0051s) (digits:459) Primality testing 2964!19-1 [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 3+sqrt(167) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.06% proof) 2964!19-1 is prime! (0.0590s+0.0092s) (digits:476) Primality testing 2978!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 233, base 1+sqrt(233) Running N+1 test using discriminant 233, base 2+sqrt(233) Calling N+1 BLS with factored part 93.64% and helper 0.31% (281.23% proof) 2978!19-1 is prime! (0.1048s+0.0061s) (digits:479) Primality testing 3144!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 233, base 1+sqrt(233) Running N+1 test using discriminant 233, base 2+sqrt(233) Calling N+1 BLS with factored part 95.27% and helper 0.06% (285.92% proof) 3144!19-1 is prime! (0.1283s+0.0017s) (digits:509) Primality testing 3377!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 233 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 95.63% and helper 0.05% (287.06% proof) 3377!19-1 is prime! (0.1291s+0.0015s) (digits:552) Primality testing 3534!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 199 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 100.00% and helper 0.52% (300.57% proof) 3534!19-1 is prime! (0.0714s+0.0069s) (digits:581) Primality testing 3677!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 223 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 95.39% and helper 0.05% (286.23% proof) 3677!19-1 is prime! (0.1620s+0.0027s) (digits:608) Primality testing 5261!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 96.40% and helper 0.36% (289.56% proof) 5261!19-1 is prime! (0.3074s+0.0014s) (digits:912) Primality testing 5561!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 367 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 98.48% and helper 0.03% (295.50% proof) 5561!19-1 is prime! (0.3278s+0.0016s) (digits:971) Primality testing 5782!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 431 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 98.19% and helper 0.30% (294.90% proof) 5782!19-1 is prime! (0.3357s+0.0014s) (digits:1015) Primality testing 6189!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 347, base 1+sqrt(347) Running N+1 test using discriminant 347, base 2+sqrt(347) Calling N+1 BLS with factored part 97.94% and helper 0.03% (293.84% proof) 6189!19-1 is prime! (0.4279s+0.0015s) (digits:1096) Primality testing 6554!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 419, base 2+sqrt(419) Running N+1 test using discriminant 419, base 3+sqrt(419) Calling N+1 BLS with factored part 97.42% and helper 0.23% (292.53% proof) 6554!19-1 is prime! (0.4573s+0.0017s) (digits:1169) Primality testing 6596!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 479, base 1+sqrt(479) Running N+1 test using discriminant 479, base 3+sqrt(479) Calling N+1 BLS with factored part 97.75% and helper 0.03% (293.27% proof) 6596!19-1 is prime! (0.4569s+0.0012s) (digits:1178) Primality testing 6683!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 461, base 1+sqrt(461) Running N+1 test using discriminant 461, base 2+sqrt(461) Calling N+1 BLS with factored part 97.76% and helper 0.03% (293.35% proof) 6683!19-1 is prime! (0.4545s+0.0013s) (digits:1195) Primality testing 6787!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 461, base 1+sqrt(461) Running N+1 test using discriminant 461, base 2+sqrt(461) Calling N+1 BLS with factored part 99.06% and helper 0.02% (297.20% proof) 6787!19-1 is prime! (0.4792s+0.0013s) (digits:1216) Primality testing 6951!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 457, base 2+sqrt(457) Running N+1 test using discriminant 457, base 3+sqrt(457) Calling N+1 BLS with factored part 98.77% and helper 0.02% (296.38% proof) 6951!19-1 is prime! (0.6071s+0.0014s) (digits:1249) Primality testing 7016!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 97.88% and helper 0.02% (293.68% proof) 7016!19-1 is prime! (0.6924s+0.0014s) (digits:1262) Primality testing 7622!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 491, base 1+sqrt(491) Running N+1 test using discriminant 491, base 2+sqrt(491) Calling N+1 BLS with factored part 98.61% and helper 0.02% (295.85% proof) 7622!19-1 is prime! (0.6609s+0.0012s) (digits:1386) Primality testing 8069!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 97.90% and helper 0.10% (293.80% proof) 8069!19-1 is prime! (0.7277s+0.0014s) (digits:1477) Primality testing 8226!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 98.70% and helper 0.02% (296.15% proof) 8226!19-1 is prime! (0.7322s+0.0014s) (digits:1509) Primality testing 8334!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 98.98% and helper 0.02% (296.95% proof) 8334!19-1 is prime! (0.7429s+0.0014s) (digits:1532) Primality testing 8421!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 98.76% and helper 0.02% (296.29% proof) 8421!19-1 is prime! (0.7736s+0.0012s) (digits:1550) Primality testing 8831!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 631, base 1+sqrt(631) Running N+1 test using discriminant 631, base 3+sqrt(631) Calling N+1 BLS with factored part 99.04% and helper 0.02% (297.14% proof) 8831!19-1 is prime! (0.8193s+0.0015s) (digits:1635) Primality testing 8859!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 577 Running N+1 test using discriminant 619, base 1+sqrt(619) Running N+1 test using discriminant 619, base 2+sqrt(619) Calling N+1 BLS with factored part 99.05% and helper 0.24% (297.38% proof) 8859!19-1 is prime! (0.8083s+0.0012s) (digits:1641) Primality testing 9150!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 99.08% and helper 0.02% (297.26% proof) 9150!19-1 is prime! (1.1928s+0.0013s) (digits:1701) Primality testing 10005!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 787, base 1+sqrt(787) Running N+1 test using discriminant 787, base 2+sqrt(787) Calling N+1 BLS with factored part 98.53% and helper 0.19% (295.77% proof) 10005!19-1 is prime! (1.1510s+0.0013s) (digits:1880) Primality testing 11126!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 743 Running N+1 test using discriminant 811, base 1+sqrt(811) Running N+1 test using discriminant 811, base 2+sqrt(811) Calling N+1 BLS with factored part 99.43% and helper 0.01% (298.31% proof) 11126!19-1 is prime! (1.9007s+0.0013s) (digits:2118) Primality testing 11510!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 99.63% and helper 0.01% (298.90% proof) 11510!19-1 is prime! (1.7023s+0.0012s) (digits:2200) Primality testing 11562!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 839, base 1+sqrt(839) Running N+1 test using discriminant 839, base 2+sqrt(839) Calling N+1 BLS with factored part 99.46% and helper 0.01% (298.38% proof) 11562!19-1 is prime! (1.6935s+0.0015s) (digits:2211) Primality testing 12677!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 953 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 99.67% and helper 0.01% (299.03% proof) 12677!19-1 is prime! (2.7022s+0.0013s) (digits:2450) Primality testing 17136!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 971 Running N+1 test using discriminant 1103, base 1+sqrt(1103) Running N+1 test using discriminant 1103, base 2+sqrt(1103) Calling N+1 BLS with factored part 100.00% and helper 0.11% (300.13% proof) 17136!19-1 is prime! (4.3699s+0.0017s) (digits:3429) Primality testing 17200!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1021, base 1+sqrt(1021) Running N+1 test using discriminant 1021, base 2+sqrt(1021) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 17200!19-1 is prime! (4.3823s+0.0017s) (digits:3444) Primality testing 17916!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1093, base 1+sqrt(1093) Running N+1 test using discriminant 1093, base 2+sqrt(1093) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 17916!19-1 is prime! (4.6258s+0.0017s) (digits:3604) Primality testing 18382!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1093 Running N+1 test using discriminant 1259, base 1+sqrt(1259) Running N+1 test using discriminant 1259, base 2+sqrt(1259) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 18382!19-1 is prime! (5.0038s+0.0017s) (digits:3708) Primality testing 18388!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.01% (300.02% proof) 18388!19-1 is prime! (4.8766s+0.0018s) (digits:3709) Primality testing 19041!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1061 Running N+1 test using discriminant 1129, base 1+sqrt(1129) Running N+1 test using discriminant 1129, base 2+sqrt(1129) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 19041!19-1 is prime! (5.2121s+0.0018s) (digits:3856) Primality testing 19713!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.01% (300.01% proof) 19713!19-1 is prime! (5.3075s+0.0019s) (digits:4008) Primality testing 20600!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1373, base 1+sqrt(1373) Running N+1 test using discriminant 1373, base 2+sqrt(1373) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 20600!19-1 is prime! (7.7860s+0.0020s) (digits:4209) Primality testing 20614!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.18% (300.19% proof) 20614!19-1 is prime! (7.7900s+0.0019s) (digits:4212) Primality testing 20724!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1361 Running N+1 test using discriminant 1373, base 1+sqrt(1373) Running N+1 test using discriminant 1373, base 2+sqrt(1373) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 20724!19-1 is prime! (7.9712s+0.0032s) (digits:4237) Primality testing 20821!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1181, base 1+sqrt(1181) Running N+1 test using discriminant 1181, base 2+sqrt(1181) Calling N+1 BLS with factored part 100.00% and helper 0.09% (300.11% proof) 20821!19-1 is prime! (7.0873s+0.0015s) (digits:4259) Primality testing 21610!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.01% (300.01% proof) 21610!19-1 is prime! (7.4356s+0.0020s) (digits:4439) Primality testing 22366!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1289, base 1+sqrt(1289) Running N+1 test using discriminant 1289, base 2+sqrt(1289) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 22366!19-1 is prime! (7.8472s+0.0020s) (digits:4612) Primality testing 24221!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1429, base 1+sqrt(1429) Running N+1 test using discriminant 1429, base 3+sqrt(1429) Calling N+1 BLS with factored part 100.00% and helper 0.08% (300.08% proof) 24221!19-1 is prime! (12.0084s+0.0020s) (digits:5038) Primality testing 26055!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1669 Running N+1 test using discriminant 1723, base 1+sqrt(1723) Running N+1 test using discriminant 1723, base 2+sqrt(1723) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 26055!19-1 is prime! (12.3169s+0.0021s) (digits:5463) Primality testing 30120!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1907, base 1+sqrt(1907) Running N+1 test using discriminant 1907, base 2+sqrt(1907) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 30120!19-1 is prime! (14.6017s+0.0020s) (digits:6415) Primality testing 30261!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1697, base 1+sqrt(1697) Running N+1 test using discriminant 1697, base 2+sqrt(1697) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 30261!19-1 is prime! (18.1439s+0.0026s) (digits:6448) Primality testing 31677!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 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 100.00% and helper 0.00% (300.01% proof) 31677!19-1 is prime! (19.7518s+0.0026s) (digits:6783) Primality testing 32859!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 1949, base 1+sqrt(1949) Running N+1 test using discriminant 1949, base 2+sqrt(1949) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 32859!19-1 is prime! (21.1102s+0.0029s) (digits:7063) Primality testing 34712!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 2053, base 2+sqrt(2053) Running N+1 test using discriminant 2053, base 3+sqrt(2053) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.06% proof) 34712!19-1 is prime! (22.5712s+0.0030s) (digits:7504) Primality testing 35543!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2039 Running N+1 test using discriminant 2267, base 1+sqrt(2267) Running N+1 test using discriminant 2267, base 2+sqrt(2267) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.07% proof) 35543!19-1 is prime! (23.3403s+0.0030s) (digits:7703) Primality testing 38133!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2017 Running N+1 test using discriminant 2063, base 1+sqrt(2063) Running N+1 test using discriminant 2063, base 2+sqrt(2063) Calling N+1 BLS with factored part 100.00% and helper 0.10% (300.10% proof) 38133!19-1 is prime! (16.4319s+0.0035s) (digits:8326) Primality testing 41162!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 2671, base 1+sqrt(2671) Running N+1 test using discriminant 2671, base 2+sqrt(2671) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 41162!19-1 is prime! (32.3498s+0.0040s) (digits:9059) Primality testing 41836!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 2699, base 2+sqrt(2699) Running N+1 test using discriminant 2699, base 3+sqrt(2699) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 41836!19-1 is prime! (32.3890s+0.0036s) (digits:9223) Primality testing 42346!19-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 2399, base 1+sqrt(2399) Running N+1 test using discriminant 2399, base 2+sqrt(2399) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 42346!19-1 is prime! (31.4034s+0.0029s) (digits:9347)