24!21-1 trivially factors prime!: 71 (digits:2) 30!21-1 trivially factors prime!: 269 (digits:3) 39!21-1 trivially factors prime!: 701 (digits:3) 42!21-1 trivially factors prime!: 881 (digits:3) 54!21-1 trivially factors prime!: 21383 (digits:5) 59!21-1 trivially factors prime!: 38113 (digits:5) 62!21-1 trivially factors prime!: 50839 (digits:5) 75!21-1 trivially factors prime!: 1603799 (digits:7) 81!21-1 trivially factors prime!: 3411719 (digits:7) 95!21-1 trivially factors prime!: 131151679 (digits:9) Primality testing 129!21-1 [N-1, Brillhart-Lehmer-Selfridge] small number, factored prime! 129!21-1 is prime! (0.0192s+0.0007s) (digits:12) Primality testing 135!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 11 Running N+1 test using discriminant 43, base 3+sqrt(43) Running N+1 test using discriminant 43, base 4+sqrt(43) Calling N+1 BLS with factored part 100.00% and helper 7.50% (310.00% proof) 135!21-1 is prime! (0.0704s+0.0012s) (digits:13) Primality testing 140!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 19, base 1+sqrt(19) Running N+1 test using discriminant 19, base 3+sqrt(19) Calling N+1 BLS with factored part 100.00% and helper 14.63% (319.51% proof) 140!21-1 is prime! (0.0686s+0.0017s) (digits:13) Primality testing 174!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N+1 test using discriminant 19, base 1+sqrt(19) Running N+1 test using discriminant 19, base 2+sqrt(19) Calling N+1 BLS with factored part 100.00% and helper 1.85% (301.85% proof) 174!21-1 is prime! (0.0177s+0.0127s) (digits:17) Primality testing 215!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 9+sqrt(7) Calling N+1 BLS with factored part 100.00% and helper 17.65% (322.06% proof) 215!21-1 is prime! (0.0696s+0.0020s) (digits:21) Primality testing 318!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 31 Running N+1 test using discriminant 59, base 1+sqrt(59) Running N+1 test using discriminant 59, base 2+sqrt(59) Calling N+1 BLS with factored part 100.00% and helper 0.93% (301.85% proof) 318!21-1 is prime! (0.0123s+0.0016s) (digits:33) Primality testing 345!21-1 [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 6.72% (307.56% proof) 345!21-1 is prime! (0.0115s+0.0009s) (digits:37) Primality testing 353!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 100.00% and helper 3.28% (303.28% proof) 353!21-1 is prime! (0.0137s+0.0032s) (digits:37) Primality testing 396!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 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 0.72% (301.44% proof) 396!21-1 is prime! (0.0129s+0.0012s) (digits:42) Primality testing 408!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 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 0.69% (301.38% proof) 408!21-1 is prime! (0.0144s+0.0405s) (digits:44) Primality testing 417!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 29, base 2+sqrt(29) Running N+1 test using discriminant 29, base 3+sqrt(29) Calling N+1 BLS with factored part 100.00% and helper 2.03% (302.70% proof) 417!21-1 is prime! (0.0128s+0.0020s) (digits:45) Primality testing 648!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 53 Running N+1 test using discriminant 61, base 1+sqrt(61) Running N+1 test using discriminant 61, base 2+sqrt(61) Calling N+1 BLS with factored part 100.00% and helper 0.40% (301.21% proof) 648!21-1 is prime! (0.0133s+0.0016s) (digits:75) Primality testing 983!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N-1 test using base 97 Running N-1 test using base 107 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 1.24% (301.74% proof) 983!21-1 is prime! (0.0345s+0.0010s) (digits:122) Primality testing 1056!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 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 1.60% (301.83% proof) 1056!21-1 is prime! (0.0232s+0.0019s) (digits:132) Primality testing 1299!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 113, base 2+sqrt(113) Running N+1 test using discriminant 113, base 3+sqrt(113) Calling N+1 BLS with factored part 100.00% and helper 0.54% (300.72% proof) 1299!21-1 is prime! (0.0271s+0.0014s) (digits:168) Primality testing 1319!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 109, base 3+sqrt(109) Running N+1 test using discriminant 109, base 6+sqrt(109) Calling N+1 BLS with factored part 100.00% and helper 0.35% (300.53% proof) 1319!21-1 is prime! (0.0356s+0.0019s) (digits:171) Primality testing 1431!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 83 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 1.77% (301.93% proof) 1431!21-1 is prime! (0.0342s+0.0014s) (digits:188) Primality testing 1568!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 127, base 1+sqrt(127) Running N+1 test using discriminant 127, base 3+sqrt(127) Calling N+1 BLS with factored part 100.00% and helper 0.29% (300.43% proof) 1568!21-1 is prime! (0.0375s+0.0018s) (digits:208) Primality testing 1605!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 137 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 1.55% (301.69% proof) 1605!21-1 is prime! (0.0373s+0.0020s) (digits:214) Primality testing 1719!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 173 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 0.13% (300.26% proof) 1719!21-1 is prime! (0.0449s+0.0018s) (digits:231) Primality testing 2495!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 98.13% and helper 0.43% (294.89% proof) 2495!21-1 is prime! (0.0812s+0.0051s) (digits:354) Primality testing 3693!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 211, base 2+sqrt(211) Running N+1 test using discriminant 211, base 3+sqrt(211) Calling N+1 BLS with factored part 100.00% and helper 0.16% (300.33% proof) 3693!21-1 is prime! (0.1330s+0.0019s) (digits:553) Primality testing 3710!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 271 Running N+1 test using discriminant 337, base 2+sqrt(337) Running N+1 test using discriminant 337, base 3+sqrt(337) Calling N+1 BLS with factored part 100.00% and helper 0.65% (300.81% proof) 3710!21-1 is prime! (0.1230s+0.0017s) (digits:556) Primality testing 4205!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 239 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 93.89% and helper 0.09% (281.81% proof) 4205!21-1 is prime! (0.2211s+0.0024s) (digits:641) Primality testing 4541!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 93.36% and helper 0.09% (280.22% proof) 4541!21-1 is prime! (0.2229s+0.0020s) (digits:699) Primality testing 4710!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 271 Running N+1 test using discriminant 349, base 1+sqrt(349) Running N+1 test using discriminant 349, base 2+sqrt(349) Calling N+1 BLS with factored part 100.00% and helper 0.41% (300.50% proof) 4710!21-1 is prime! (0.2072s+0.0019s) (digits:729) Primality testing 4758!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 269, base 1+sqrt(269) Running N+1 test using discriminant 269, base 2+sqrt(269) Calling N+1 BLS with factored part 100.00% and helper 0.41% (300.49% proof) 4758!21-1 is prime! (0.1931s+0.0017s) (digits:737) Primality testing 4790!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 93.67% and helper 0.37% (281.50% proof) 4790!21-1 is prime! (0.2434s+0.0015s) (digits:743) Primality testing 4919!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 331, base 5+sqrt(331) Running N+1 test using discriminant 331, base 6+sqrt(331) Calling N+1 BLS with factored part 93.35% and helper 0.08% (280.24% proof) 4919!21-1 is prime! (0.2784s+0.0015s) (digits:766) Primality testing 6554!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 93.25% and helper 0.26% (280.07% proof) 6554!21-1 is prime! (0.4869s+0.0016s) (digits:1058) Primality testing 8211!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 397 Running N+1 test using discriminant 419, base 1+sqrt(419) Running N+1 test using discriminant 419, base 2+sqrt(419) Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.07% proof) 8211!21-1 is prime! (0.3357s+0.0013s) (digits:1363) Primality testing 8705!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 467 Running N-1 test using base 569 Running N+1 test using discriminant 619, base 3+sqrt(619) Running N+1 test using discriminant 619, base 4+sqrt(619) Calling N+1 BLS with factored part 96.50% and helper 0.58% (290.15% proof) 8705!21-1 is prime! (0.9562s+0.0017s) (digits:1456) Primality testing 8883!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 431 Running N+1 test using discriminant 443, base 1+sqrt(443) Running N+1 test using discriminant 443, base 2+sqrt(443) Calling N+1 BLS with factored part 100.00% and helper 0.18% (300.24% proof) 8883!21-1 is prime! (0.3905s+0.0021s) (digits:1489) Primality testing 11813!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 661, base 2+sqrt(661) Running N+1 test using discriminant 661, base 3+sqrt(661) Calling N+1 BLS with factored part 97.83% and helper 0.12% (293.62% proof) 11813!21-1 is prime! (1.5962s+0.0015s) (digits:2049) Primality testing 12911!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 739 Running N+1 test using discriminant 821, base 1+sqrt(821) Running N+1 test using discriminant 821, base 2+sqrt(821) Calling N+1 BLS with factored part 97.47% and helper 0.03% (292.47% proof) 12911!21-1 is prime! (2.2136s+0.0014s) (digits:2263) Primality testing 14088!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 827, base 2+sqrt(827) Running N+1 test using discriminant 827, base 3+sqrt(827) Calling N+1 BLS with factored part 100.00% and helper 0.04% (300.06% proof) 14088!21-1 is prime! (2.4861s+0.0018s) (digits:2494) Primality testing 14453!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 98.06% and helper 0.02% (294.23% proof) 14453!21-1 is prime! (2.9717s+0.0014s) (digits:2567) Primality testing 14969!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N-1 test using base 821 Running N+1 test using discriminant 907, base 2+sqrt(907) Running N+1 test using discriminant 907, base 3+sqrt(907) Calling N+1 BLS with factored part 98.14% and helper 0.20% (294.62% proof) 14969!21-1 is prime! (3.4578s+0.0019s) (digits:2669) Primality testing 15137!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N-1 test using base 823 Running N+1 test using discriminant 863, base 1+sqrt(863) Running N+1 test using discriminant 863, base 2+sqrt(863) Calling N+1 BLS with factored part 98.31% and helper 0.02% (294.96% proof) 15137!21-1 is prime! (3.6009s+0.0016s) (digits:2702) Primality testing 17982!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1013 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 100.00% and helper 0.13% (300.14% proof) 17982!21-1 is prime! (4.3033s+0.0015s) (digits:3274) Primality testing 19841!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 99.53% and helper 0.02% (298.61% proof) 19841!21-1 is prime! (6.0843s+0.0020s) (digits:3653) Primality testing 20349!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 977 Running N+1 test using discriminant 991, base 1+sqrt(991) Running N+1 test using discriminant 991, base 2+sqrt(991) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 20349!21-1 is prime! (2.5473s+0.0021s) (digits:3757) Primality testing 21621!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 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 0.02% (300.03% proof) 21621!21-1 is prime! (5.7397s+0.0023s) (digits:4019) Primality testing 22934!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.08% proof) 22934!21-1 is prime! (9.2011s+0.0022s) (digits:4290) Primality testing 27186!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 1571, base 1+sqrt(1571) Running N+1 test using discriminant 1571, base 2+sqrt(1571) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 27186!21-1 is prime! (10.1088s+0.0024s) (digits:5181) Primality testing 27692!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 1993 Running N-1 test using base 1999 Running N-1 test using base 2017 Running N+1 test using discriminant 2029, base 2+sqrt(2029) Running N+1 test using discriminant 2029, base 3+sqrt(2029) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 27692!21-1 is prime! (11.2840s+0.0026s) (digits:5288) Primality testing 29634!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 1693, base 1+sqrt(1693) Running N+1 test using discriminant 1693, base 2+sqrt(1693) Calling N+1 BLS with factored part 100.00% and helper 0.15% (300.15% proof) 29634!21-1 is prime! (11.3841s+0.0023s) (digits:5700) Primality testing 32645!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 1669, base 2+sqrt(1669) Running N+1 test using discriminant 1669, base 3+sqrt(1669) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.04% proof) 32645!21-1 is prime! (17.5931s+0.0024s) (digits:6345) Primality testing 33660!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1877 Running N+1 test using discriminant 1933, base 1+sqrt(1933) Running N+1 test using discriminant 1933, base 2+sqrt(1933) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 33660!21-1 is prime! (17.5221s+0.0028s) (digits:6563) Primality testing 47393!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 8+sqrt(7) Running N+1 test using discriminant 7, base 10+sqrt(7) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 47393!21-1 is prime! (34.2257s+0.0043s) (digits:9575) Primality testing 48722!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 2687, base 1+sqrt(2687) Running N+1 test using discriminant 2687, base 2+sqrt(2687) Calling N+1 BLS with factored part 100.00% and helper 0.05% (300.05% proof) 48722!21-1 is prime! (45.1143s+0.0043s) (digits:9871)