27!23-1 trivially factors prime!: 107 (digits:3) 28!23-1 trivially factors prime!: 139 (digits:3) 29!23-1 trivially factors prime!: 173 (digits:3) 34!23-1 trivially factors prime!: 373 (digits:3) 35!23-1 trivially factors prime!: 419 (digits:3) 36!23-1 trivially factors prime!: 467 (digits:3) 38!23-1 trivially factors prime!: 569 (digits:3) 42!23-1 trivially factors prime!: 797 (digits:3) 43!23-1 trivially factors prime!: 859 (digits:3) 48!23-1 trivially factors prime!: 2399 (digits:4) 49!23-1 trivially factors prime!: 3821 (digits:4) 50!23-1 trivially factors prime!: 5399 (digits:4) 57!23-1 trivially factors prime!: 21317 (digits:5) 58!23-1 trivially factors prime!: 24359 (digits:5) 59!23-1 trivially factors prime!: 27611 (digits:5) 60!23-1 trivially factors prime!: 31079 (digits:5) 63!23-1 trivially factors prime!: 42839 (digits:5) 65!23-1 trivially factors prime!: 51869 (digits:5) 72!23-1 trivially factors prime!: 275183 (digits:6) 75!23-1 trivially factors prime!: 678599 (digits:6) 76!23-1 trivially factors prime!: 845879 (digits:6) 82!23-1 trivially factors prime!: 2264183 (digits:7) 85!23-1 trivially factors prime!: 3288479 (digits:7) 88!23-1 trivially factors prime!: 4564559 (digits:7) 96!23-1 trivially factors prime!: 37843199 (digits:8) 100!23-1 trivially factors prime!: 103118399 (digits:9) 101!23-1 trivially factors prime!: 124787519 (digits:9) 104!23-1 trivially factors prime!: 205208639 (digits:9) 108!23-1 trivially factors prime!: 355155839 (digits:9) 110!23-1 trivially factors prime!: 452010239 (digits:9) 111!23-1 trivially factors prime!: 506666159 (digits:9) 114!23-1 trivially factors prime!: 698377679 (digits:9) 115!23-1 trivially factors prime!: 772361159 (digits:9) 121!23-1 trivially factors prime!: 8046838799 (digits:10) Primality testing 122!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 122!23-1 is prime! (0.0315s+0.0114s) (digits:11) Primality testing 126!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 126!23-1 is prime! (0.0192s+0.0153s) (digits:11) Primality testing 130!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 130!23-1 is prime! (0.0153s+0.0018s) (digits:11) Primality testing 134!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 134!23-1 is prime! (0.0152s+0.0012s) (digits:11) Primality testing 138!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 138!23-1 is prime! (0.0168s+0.0011s) (digits:12) Primality testing 143!23-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 143!23-1 is prime! (0.0166s+0.0013s) (digits:12) Primality testing 145!23-1 [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 2.50% (305.00% proof) 145!23-1 is prime! (0.0838s+0.0015s) (digits:13) Primality testing 155!23-1 [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 2.38% (307.14% proof) 155!23-1 is prime! (0.0158s+0.0660s) (digits:13) Primality testing 164!23-1 [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 2.17% (302.17% proof) 164!23-1 is prime! (0.0825s+0.0017s) (digits:14) Primality testing 175!23-1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 36.73% 175!23-1 is prime! (0.0057s+0.0009s) (digits:15) Primality testing 187!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 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 18.87% (322.64% proof) 187!23-1 is prime! (0.0098s+0.0025s) (digits:17) Primality testing 191!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 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 1.82% (303.64% proof) 191!23-1 is prime! (0.0217s+0.0011s) (digits:17) Primality testing 193!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 17.86% (317.86% proof) 193!23-1 is prime! (0.0096s+0.0010s) (digits:17) Primality testing 206!23-1 [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 1.69% (301.69% proof) 206!23-1 is prime! (0.0101s+0.0016s) (digits:18) Primality testing 212!23-1 [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 11.29% (312.90% proof) 212!23-1 is prime! (0.0116s+0.0016s) (digits:19) Primality testing 218!23-1 [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 20.31% (321.88% proof) 218!23-1 is prime! (0.0119s+0.0013s) (digits:20) Primality testing 225!23-1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Calling Brillhart-Lehmer-Selfridge with factored part 31.82% 1/7 225!23-1 is prime! (0.0263s+0.0083s) (digits:20) Primality testing 257!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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% (303.90% proof) 257!23-1 is prime! (0.0108s+0.0017s) (digits:24) Primality testing 262!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 7.59% (310.13% proof) 262!23-1 is prime! (0.0105s+0.0013s) (digits:25) Primality testing 270!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 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 8.64% (311.11% proof) 270!23-1 is prime! (0.0105s+0.0013s) (digits:25) Primality testing 278!23-1 [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 8.33% (310.71% proof) 278!23-1 is prime! (0.0085s+0.0014s) (digits:26) Primality testing 322!23-1 [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 7.07% (309.09% proof) 322!23-1 is prime! (0.0098s+0.0010s) (digits:31) Primality testing 335!23-1 [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 10.48% (312.38% proof) 335!23-1 is prime! (0.0117s+0.0013s) (digits:32) Primality testing 345!23-1 [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 5.56% (305.56% proof) 345!23-1 is prime! (0.0110s+0.0018s) (digits:33) Primality testing 365!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 6.09% (308.70% proof) 365!23-1 is prime! (0.0102s+0.0013s) (digits:35) Primality testing 385!23-1 [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 0.81% (302.44% proof) 385!23-1 is prime! (0.0127s+0.0013s) (digits:38) Primality testing 390!23-1 [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 14.40% (314.40% proof) 390!23-1 is prime! (0.0093s+0.0015s) (digits:38) Primality testing 409!23-1 [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 0.76% (302.27% proof) 409!23-1 is prime! (0.0143s+0.0020s) (digits:40) Primality testing 416!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.74% (301.48% proof) 416!23-1 is prime! (0.0149s+0.0018s) (digits:41) Primality testing 428!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 5.71% (306.43% proof) 428!23-1 is prime! (0.0139s+0.0021s) (digits:43) Primality testing 453!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 47 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 4.03% (306.04% proof) 453!23-1 is prime! (0.0138s+0.0014s) (digits:46) Primality testing 455!23-1 [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 0.67% (301.33% proof) 455!23-1 is prime! (0.0121s+0.0013s) (digits:46) Primality testing 479!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 47, base 2+sqrt(47) Running N+1 test using discriminant 47, base 3+sqrt(47) Calling N+1 BLS with factored part 100.00% and helper 0.63% (301.26% proof) 479!23-1 is prime! (0.0142s+0.0014s) (digits:49) Primality testing 511!23-1 [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 4.07% (305.81% proof) 511!23-1 is prime! (0.0141s+0.0023s) (digits:53) Primality testing 547!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 2.69% (303.23% proof) 547!23-1 is prime! (0.0166s+0.0018s) (digits:57) Primality testing 596!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 43 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 2.93% (303.90% proof) 596!23-1 is prime! (0.0158s+0.0013s) (digits:62) Primality testing 624!23-1 [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 11.52% (312.44% proof) 624!23-1 is prime! (0.0148s+0.0014s) (digits:66) Primality testing 651!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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% (300.44% proof) 651!23-1 is prime! (0.0137s+0.0012s) (digits:69) Primality testing 659!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 43 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 0.43% (301.30% proof) 659!23-1 is prime! (0.0166s+0.0015s) (digits:70) Primality testing 673!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 53 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 2.95% (304.22% proof) 673!23-1 is prime! (0.0131s+0.0016s) (digits:72) Primality testing 743!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 73 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 0.38% (301.13% proof) 743!23-1 is prime! (0.0144s+0.0015s) (digits:81) Primality testing 817!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.34% (301.01% proof) 817!23-1 is prime! (0.0153s+0.0011s) (digits:90) Primality testing 841!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 97 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 0.33% (300.98% proof) 841!23-1 is prime! (0.0170s+0.0018s) (digits:93) Primality testing 869!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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) 869!23-1 is prime! (0.0151s+0.0012s) (digits:97) Primality testing 895!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.30% (300.91% proof) 895!23-1 is prime! (0.0176s+0.0011s) (digits:100) Primality testing 914!23-1 [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 2.66% (302.96% proof) 914!23-1 is prime! (0.0182s+0.0014s) (digits:102) Primality testing 940!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 7.74% (308.02% proof) 940!23-1 is prime! (0.0193s+0.0010s) (digits:106) Primality testing 1106!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.24% (300.48% proof) 1106!23-1 is prime! (0.0207s+0.0010s) (digits:127) Primality testing 1117!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.23% (300.23% proof) 1117!23-1 is prime! (0.0202s+0.0012s) (digits:129) Primality testing 1147!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 59 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 0.23% (300.46% proof) 1147!23-1 is prime! (0.0217s+0.0015s) (digits:133) Primality testing 1199!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 79 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 2.16% (302.16% proof) 1199!23-1 is prime! (0.0232s+0.0011s) (digits:140) Primality testing 1234!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.21% (300.63% proof) 1234!23-1 is prime! (0.0239s+0.0014s) (digits:145) Primality testing 1253!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 73 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 0.21% (300.62% proof) 1253!23-1 is prime! (0.0249s+0.0013s) (digits:147) Primality testing 1272!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 109 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 2.02% (302.22% proof) 1272!23-1 is prime! (0.0314s+0.0011s) (digits:150) Primality testing 1280!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 71 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 0.20% (300.40% proof) 1280!23-1 is prime! (0.0259s+0.0015s) (digits:151) Primality testing 1290!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 1.59% (301.99% proof) 1290!23-1 is prime! (0.0294s+0.0017s) (digits:152) Primality testing 1366!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 83 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 1.67% (302.04% proof) 1366!23-1 is prime! (0.0414s+0.0015s) (digits:163) Primality testing 1454!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 101 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 0.17% (300.52% proof) 1454!23-1 is prime! (0.0951s+0.0034s) (digits:175) Primality testing 1692!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 0.73% (301.02% proof) 1692!23-1 is prime! (0.0916s+0.0156s) (digits:208) Primality testing 1939!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 163 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 100.00% and helper 0.12% (300.12% proof) 1939!23-1 is prime! (0.0896s+0.0204s) (digits:243) Primality testing 1957!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 137 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 0.12% (300.37% proof) 1957!23-1 is prime! (0.1034s+0.0155s) (digits:245) Primality testing 2083!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 149 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 0.11% (300.23% proof) 2083!23-1 is prime! (0.0897s+0.0187s) (digits:263) Primality testing 2359!23-1 [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 95.53% and helper 0.10% (286.89% proof) 2359!23-1 is prime! (0.0851s+0.0265s) (digits:304) Primality testing 2399!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 100.00% and helper 1.07% (301.36% proof) 2399!23-1 is prime! (0.0762s+0.0031s) (digits:310) Primality testing 2400!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.86% and helper 0.10% (293.67% proof) 2400!23-1 is prime! (0.0765s+0.0014s) (digits:310) Primality testing 2404!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.76% and helper 0.10% (293.59% proof) 2404!23-1 is prime! (0.0876s+0.0049s) (digits:310) Primality testing 2417!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.81% and helper 0.10% (290.52% proof) 2417!23-1 is prime! (0.0718s+0.0051s) (digits:312) Primality testing 2456!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 139 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 96.87% and helper 0.09% (290.79% proof) 2456!23-1 is prime! (0.0700s+0.0059s) (digits:318) Primality testing 2477!23-1 [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 94.74% and helper 0.09% (284.49% proof) 2477!23-1 is prime! (0.0558s+0.0056s) (digits:321) Primality testing 2542!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 149 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 96.99% and helper 0.09% (291.06% proof) 2542!23-1 is prime! (0.0546s+0.0015s) (digits:331) Primality testing 2635!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 95.10% and helper 0.09% (285.55% proof) 2635!23-1 is prime! (0.0685s+0.0015s) (digits:344) Primality testing 2871!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 163 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 94.60% and helper 0.08% (284.03% proof) 2871!23-1 is prime! (0.0766s+0.0104s) (digits:380) Primality testing 2913!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 94.77% and helper 1.41% (285.86% proof) 2913!23-1 is prime! (0.0722s+0.0015s) (digits:386) Primality testing 3058!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 173 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 93.34% and helper 0.07% (280.18% proof) 3058!23-1 is prime! (0.1134s+0.0045s) (digits:408) Primality testing 3062!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 211, base 1+sqrt(211) Running N+1 test using discriminant 211, base 3+sqrt(211) Calling N+1 BLS with factored part 96.68% and helper 0.07% (290.18% proof) 3062!23-1 is prime! (0.1182s+0.0068s) (digits:409) Primality testing 3151!23-1 [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 100.00% and helper 0.07% (300.14% proof) 3151!23-1 is prime! (0.0488s+0.0110s) (digits:422) Primality testing 3235!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 95.29% and helper 0.07% (286.07% proof) 3235!23-1 is prime! (0.0841s+0.0015s) (digits:435) Primality testing 3614!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 211 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 95.78% and helper 0.06% (287.47% proof) 3614!23-1 is prime! (0.0947s+0.0016s) (digits:493) Primality testing 3710!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 197 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 95.91% and helper 0.06% (287.78% proof) 3710!23-1 is prime! (0.1140s+0.0013s) (digits:508) Primality testing 3950!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 94.20% and helper 0.06% (282.65% proof) 3950!23-1 is prime! (0.1143s+0.0016s) (digits:545) Primality testing 3996!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 271 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 94.33% and helper 0.44% (283.47% proof) 3996!23-1 is prime! (0.1266s+0.0013s) (digits:553) Primality testing 4105!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 233 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 95.03% and helper 0.05% (285.25% proof) 4105!23-1 is prime! (0.1245s+0.0013s) (digits:570) Primality testing 4270!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 257, base 1+sqrt(257) Running N+1 test using discriminant 257, base 3+sqrt(257) Calling N+1 BLS with factored part 95.85% and helper 0.05% (287.61% proof) 4270!23-1 is prime! (0.1301s+0.0032s) (digits:596) Primality testing 4832!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 251, base 1+sqrt(251) Running N+1 test using discriminant 251, base 2+sqrt(251) Calling N+1 BLS with factored part 95.29% and helper 0.40% (286.32% proof) 4832!23-1 is prime! (0.1795s+0.0013s) (digits:685) Primality testing 4980!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 317 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 95.45% and helper 0.04% (286.44% proof) 4980!23-1 is prime! (0.1794s+0.0016s) (digits:709) Primality testing 5182!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 293, base 1+sqrt(293) Running N+1 test using discriminant 293, base 2+sqrt(293) Calling N+1 BLS with factored part 96.10% and helper 0.04% (288.38% proof) 5182!23-1 is prime! (0.2020s+0.0012s) (digits:742) Primality testing 5188!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 281 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 94.64% and helper 0.04% (284.01% proof) 5188!23-1 is prime! (0.1906s+0.0014s) (digits:742) Primality testing 5322!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.18% and helper 0.04% (288.61% proof) 5322!23-1 is prime! (0.2102s+0.0026s) (digits:764) Primality testing 6017!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 331, base 1+sqrt(331) Running N+1 test using discriminant 331, base 2+sqrt(331) Calling N+1 BLS with factored part 95.37% and helper 0.17% (286.27% proof) 6017!23-1 is prime! (0.2481s+0.0011s) (digits:878) Primality testing 6072!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 281 Running N+1 test using discriminant 293, base 1+sqrt(293) Running N+1 test using discriminant 293, base 2+sqrt(293) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.07% proof) 6072!23-1 is prime! (0.1464s+0.0013s) (digits:886) Primality testing 6391!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.02% and helper 0.03% (288.16% proof) 6391!23-1 is prime! (0.2954s+0.0012s) (digits:939) Primality testing 6529!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 409 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 95.74% and helper 0.03% (287.25% proof) 6529!23-1 is prime! (0.3350s+0.0013s) (digits:962) Primality testing 7009!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.39% and helper 0.03% (289.19% proof) 7009!23-1 is prime! (0.4553s+0.0017s) (digits:1042) Primality testing 7126!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 349 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 95.35% and helper 0.03% (286.10% proof) 7126!23-1 is prime! (0.4548s+0.0012s) (digits:1061) Primality testing 7428!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 443 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 96.24% and helper 0.33% (289.11% proof) 7428!23-1 is prime! (0.4131s+0.0048s) (digits:1112) Primality testing 7435!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 95.92% and helper 0.41% (288.18% proof) 7435!23-1 is prime! (0.3974s+0.0014s) (digits:1114) Primality testing 7916!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.78% and helper 0.30% (293.65% proof) 7916!23-1 is prime! (0.4595s+0.0012s) (digits:1195) Primality testing 7917!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.77% and helper 0.03% (290.40% proof) 7917!23-1 is prime! (0.4523s+0.0020s) (digits:1195) Primality testing 9004!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 443 Running N+1 test using discriminant 577, base 1+sqrt(577) Running N+1 test using discriminant 577, base 2+sqrt(577) Calling N+1 BLS with factored part 98.04% and helper 0.02% (294.15% proof) 9004!23-1 is prime! (0.6579s+0.0012s) (digits:1381) Primality testing 9037!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 439 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 95.52% and helper 0.26% (286.85% proof) 9037!23-1 is prime! (0.6139s+0.0013s) (digits:1386) Primality testing 9235!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.99% and helper 0.02% (291.01% proof) 9235!23-1 is prime! (0.6319s+0.0014s) (digits:1420) Primality testing 9374!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.29% and helper 0.23% (292.12% proof) 9374!23-1 is prime! (0.6303s+0.0013s) (digits:1444) Primality testing 9403!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 487, base 1+sqrt(487) Running N+1 test using discriminant 487, base 3+sqrt(487) Calling N+1 BLS with factored part 96.76% and helper 0.02% (290.32% proof) 9403!23-1 is prime! (0.6508s+0.0014s) (digits:1449) Primality testing 9493!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 443 Running N+1 test using discriminant 577, base 1+sqrt(577) Running N+1 test using discriminant 577, base 2+sqrt(577) Calling N+1 BLS with factored part 96.53% and helper 0.02% (289.62% proof) 9493!23-1 is prime! (0.7327s+0.0013s) (digits:1465) Primality testing 9990!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 96.95% and helper 0.02% (290.89% proof) 9990!23-1 is prime! (0.7126s+0.0015s) (digits:1551) Primality testing 10243!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.02% and helper 0.02% (291.11% proof) 10243!23-1 is prime! (0.7448s+0.0014s) (digits:1595) Primality testing 10265!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 97.04% and helper 0.23% (291.37% proof) 10265!23-1 is prime! (0.7544s+0.0014s) (digits:1599) Primality testing 11789!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 773, base 1+sqrt(773) Running N+1 test using discriminant 773, base 2+sqrt(773) Calling N+1 BLS with factored part 97.19% and helper 0.02% (291.61% proof) 11789!23-1 is prime! (1.1198s+0.0013s) (digits:1867) Primality testing 12241!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 673 Running N+1 test using discriminant 719, base 1+sqrt(719) Running N+1 test using discriminant 719, base 2+sqrt(719) Calling N+1 BLS with factored part 97.09% and helper 0.20% (291.49% proof) 12241!23-1 is prime! (1.1502s+0.0013s) (digits:1947) Primality testing 12862!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 653, base 1+sqrt(653) Running N+1 test using discriminant 653, base 2+sqrt(653) Calling N+1 BLS with factored part 97.42% and helper 0.01% (292.32% proof) 12862!23-1 is prime! (1.2254s+0.0014s) (digits:2058) Primality testing 12995!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 587 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 100.00% and helper 0.01% (300.04% proof) 12995!23-1 is prime! (0.6369s+0.0014s) (digits:2081) Primality testing 13414!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 653 Running N+1 test using discriminant 673, base 1+sqrt(673) Running N+1 test using discriminant 673, base 2+sqrt(673) Calling N+1 BLS with factored part 97.92% and helper 0.01% (293.80% proof) 13414!23-1 is prime! (1.5773s+0.0013s) (digits:2157) Primality testing 13620!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 709 Running N+1 test using discriminant 827, base 1+sqrt(827) Running N+1 test using discriminant 827, base 2+sqrt(827) Calling N+1 BLS with factored part 97.20% and helper 0.01% (291.63% proof) 13620!23-1 is prime! (1.5935s+0.0015s) (digits:2194) Primality testing 15106!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 773 Running N+1 test using discriminant 881, base 1+sqrt(881) Running N+1 test using discriminant 881, base 2+sqrt(881) Calling N+1 BLS with factored part 98.15% and helper 0.01% (294.47% proof) 15106!23-1 is prime! (2.5265s+0.0015s) (digits:2462) Primality testing 15521!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 809 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 98.04% and helper 0.01% (294.14% proof) 15521!23-1 is prime! (2.7920s+0.0032s) (digits:2538) Primality testing 15833!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 773, base 1+sqrt(773) Running N+1 test using discriminant 773, base 2+sqrt(773) Calling N+1 BLS with factored part 97.76% and helper 0.01% (293.29% proof) 15833!23-1 is prime! (2.4612s+0.0015s) (digits:2595) Primality testing 15993!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 797 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 97.93% and helper 0.01% (293.82% proof) 15993!23-1 is prime! (2.4480s+0.0014s) (digits:2624) Primality testing 16084!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 859 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 97.63% and helper 0.01% (292.91% proof) 16084!23-1 is prime! (2.5709s+0.0015s) (digits:2641) Primality testing 16271!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 883 Running N+1 test using discriminant 929, base 1+sqrt(929) Running N+1 test using discriminant 929, base 2+sqrt(929) Calling N+1 BLS with factored part 98.29% and helper 0.01% (294.89% proof) 16271!23-1 is prime! (2.5881s+0.0014s) (digits:2675) Primality testing 16359!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 907 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 98.30% and helper 0.25% (295.15% proof) 16359!23-1 is prime! (2.7136s+0.0013s) (digits:2691) Primality testing 16862!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 971 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 98.04% and helper 0.01% (294.16% proof) 16862!23-1 is prime! (2.6234s+0.0013s) (digits:2783) Primality testing 17139!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 98.66% and helper 0.01% (296.01% proof) 17139!23-1 is prime! (2.6893s+0.0033s) (digits:2834) Primality testing 17684!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1013 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 97.70% and helper 0.01% (293.12% proof) 17684!23-1 is prime! (3.0113s+0.0014s) (digits:2934) Primality testing 18860!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 821 Running N+1 test using discriminant 827, base 1+sqrt(827) Running N+1 test using discriminant 827, base 2+sqrt(827) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 18860!23-1 is prime! (1.5634s+0.0016s) (digits:3152) Primality testing 19304!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 997, base 1+sqrt(997) Running N+1 test using discriminant 997, base 2+sqrt(997) Calling N+1 BLS with factored part 98.56% and helper 0.01% (295.68% proof) 19304!23-1 is prime! (4.6768s+0.0015s) (digits:3235) Primality testing 20154!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 937 Running N+1 test using discriminant 1171, base 1+sqrt(1171) Running N+1 test using discriminant 1171, base 2+sqrt(1171) Calling N+1 BLS with factored part 98.61% and helper 0.01% (295.85% proof) 20154!23-1 is prime! (4.8413s+0.0016s) (digits:3394) Primality testing 20629!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1013, base 2+sqrt(1013) Running N+1 test using discriminant 1013, base 3+sqrt(1013) Calling N+1 BLS with factored part 98.27% and helper 0.01% (294.84% proof) 20629!23-1 is prime! (4.2415s+0.0022s) (digits:3483) Primality testing 21442!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1171 Running N+1 test using discriminant 1213, base 1+sqrt(1213) Running N+1 test using discriminant 1213, base 2+sqrt(1213) Calling N+1 BLS with factored part 98.70% and helper 0.01% (296.11% proof) 21442!23-1 is prime! (4.5748s+0.0018s) (digits:3636) Primality testing 22113!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1117, base 1+sqrt(1117) Running N+1 test using discriminant 1117, base 2+sqrt(1117) Calling N+1 BLS with factored part 98.74% and helper 0.01% (296.23% proof) 22113!23-1 is prime! (4.8809s+0.0018s) (digits:3762) Primality testing 22175!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1009 Running N+1 test using discriminant 1229, base 1+sqrt(1229) Running N+1 test using discriminant 1229, base 2+sqrt(1229) Calling N+1 BLS with factored part 98.96% and helper 0.10% (297.01% proof) 22175!23-1 is prime! (5.0180s+0.0017s) (digits:3774) Primality testing 22641!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1187, base 1+sqrt(1187) Running N+1 test using discriminant 1187, base 2+sqrt(1187) Calling N+1 BLS with factored part 98.88% and helper 0.01% (296.65% proof) 22641!23-1 is prime! (4.9575s+0.0018s) (digits:3862) Primality testing 22785!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1181 Running N+1 test using discriminant 1319, base 1+sqrt(1319) Running N+1 test using discriminant 1319, base 2+sqrt(1319) Calling N+1 BLS with factored part 98.78% and helper 0.01% (296.34% proof) 22785!23-1 is prime! (5.0133s+0.0018s) (digits:3889) Primality testing 23630!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1187 Running N+1 test using discriminant 1303, base 1+sqrt(1303) Running N+1 test using discriminant 1303, base 2+sqrt(1303) Calling N+1 BLS with factored part 99.15% and helper 0.01% (297.44% proof) 23630!23-1 is prime! (7.5135s+0.0019s) (digits:4050) Primality testing 23664!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1153, base 1+sqrt(1153) Running N+1 test using discriminant 1153, base 2+sqrt(1153) Calling N+1 BLS with factored part 99.04% and helper 0.01% (297.11% proof) 23664!23-1 is prime! (7.5272s+0.0019s) (digits:4056) Primality testing 23929!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1187, base 1+sqrt(1187) Running N+1 test using discriminant 1187, base 2+sqrt(1187) Calling N+1 BLS with factored part 99.26% and helper 0.01% (297.79% proof) 23929!23-1 is prime! (7.3465s+0.0019s) (digits:4107) Primality testing 25523!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 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 99.21% and helper 0.01% (297.63% proof) 25523!23-1 is prime! (7.4083s+0.0017s) (digits:4411) Primality testing 25824!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1279 Running N+1 test using discriminant 1523, base 1+sqrt(1523) Running N+1 test using discriminant 1523, base 2+sqrt(1523) Calling N+1 BLS with factored part 99.51% and helper 0.01% (298.53% proof) 25824!23-1 is prime! (7.6609s+0.0018s) (digits:4469) Primality testing 25953!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1187, base 1+sqrt(1187) Running N+1 test using discriminant 1187, base 2+sqrt(1187) Calling N+1 BLS with factored part 99.32% and helper 0.01% (297.96% proof) 25953!23-1 is prime! (7.5937s+0.0020s) (digits:4494) Primality testing 27995!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1307, base 1+sqrt(1307) Running N+1 test using discriminant 1307, base 2+sqrt(1307) Calling N+1 BLS with factored part 99.55% and helper 0.09% (298.74% proof) 27995!23-1 is prime! (11.5732s+0.0021s) (digits:4887) Primality testing 30609!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1499 Running N+1 test using discriminant 1619, base 1+sqrt(1619) Running N+1 test using discriminant 1619, base 2+sqrt(1619) Calling N+1 BLS with factored part 99.59% and helper 0.01% (298.77% proof) 30609!23-1 is prime! (12.1574s+0.0021s) (digits:5395) Primality testing 34819!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 1951, base 1+sqrt(1951) Running N+1 test using discriminant 1951, base 2+sqrt(1951) Calling N+1 BLS with factored part 99.78% and helper 0.02% (299.38% proof) 34819!23-1 is prime! (14.4530s+0.0026s) (digits:6221) Primality testing 35060!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1861 Running N+1 test using discriminant 1951, base 1+sqrt(1951) Running N+1 test using discriminant 1951, base 2+sqrt(1951) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 35060!23-1 is prime! (14.5038s+0.0024s) (digits:6269) Primality testing 37309!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1931 Running N+1 test using discriminant 2011, base 1+sqrt(2011) Running N+1 test using discriminant 2011, base 2+sqrt(2011) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.07% proof) 37309!23-1 is prime! (21.8477s+0.0026s) (digits:6714) Primality testing 38061!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1867 Running N+1 test using discriminant 1913, base 1+sqrt(1913) Running N+1 test using discriminant 1913, base 2+sqrt(1913) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 38061!23-1 is prime! (20.7467s+0.0024s) (digits:6864) Primality testing 43488!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 2029, base 1+sqrt(2029) Running N+1 test using discriminant 2029, base 2+sqrt(2029) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 43488!23-1 is prime! (24.0881s+0.0036s) (digits:7952) Primality testing 44200!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2237 Running N+1 test using discriminant 2371, base 1+sqrt(2371) Running N+1 test using discriminant 2371, base 2+sqrt(2371) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.06% proof) 44200!23-1 is prime! (34.7903s+0.0037s) (digits:8095) Primality testing 48900!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2437 Running N+1 test using discriminant 2459, base 1+sqrt(2459) Running N+1 test using discriminant 2459, base 2+sqrt(2459) Calling N+1 BLS with factored part 100.00% and helper 0.04% (300.05% proof) 48900!23-1 is prime! (35.0143s+0.0028s) (digits:9049) Primality testing 50724!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 2521, base 1+sqrt(2521) Running N+1 test using discriminant 2521, base 2+sqrt(2521) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 50724!23-1 is prime! (35.9954s+0.0033s) (digits:9422) Primality testing 51036!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2393 Running N+1 test using discriminant 2531, base 1+sqrt(2531) Running N+1 test using discriminant 2531, base 2+sqrt(2531) Calling N+1 BLS with factored part 100.00% and helper 0.05% (300.05% proof) 51036!23-1 is prime! (34.7845s+0.0038s) (digits:9486) Primality testing 51156!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2411 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 100.00% and helper 0.00% (300.00% proof) 51156!23-1 is prime! (34.7498s+0.0039s) (digits:9510) Primality testing 51447!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2557 Running N+1 test using discriminant 2647, base 1+sqrt(2647) Running N+1 test using discriminant 2647, base 2+sqrt(2647) Calling N+1 BLS with factored part 100.00% and helper 0.04% (300.05% proof) 51447!23-1 is prime! (32.4140s+0.0040s) (digits:9570) Primality testing 51805!23-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 2383, base 1+sqrt(2383) Running N+1 test using discriminant 2383, base 2+sqrt(2383) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.03% proof) 51805!23-1 is prime! (27.7023s+0.0041s) (digits:9643)