# Veryfication by Marian Otremba 3!1-1 trivially factors prime!: 5 (digits:1) 4!1-1 trivially factors prime!: 23 (digits:2) 6!1-1 trivially factors prime!: 719 (digits:3) 7!1-1 trivially factors prime!: 5039 (digits:4) 12!1-1 trivially factors prime!: 479001599 (digits:9) Primality testing 14!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] small number factored priime! 14!-1 is prime! (0.0093s+0.0010s)(digits:11) Primality testing 30!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 43 Running N+1 test using discriminant 53, base 1+sqrt(53) Running N+1 test using discriminant 53, base 2+sqrt(53) Calling N+1 BLS with factored part 100.00% and helper 0.93% (302.80% proof) 30!-1 is prime! (0.0306s+0.0006s)(digits:33) Primality testing 32!-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 5.98% (307.69% proof) 32!-1 is prime! (0.0060s+0.0009s)(digits:36) Primality testing 33!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 Running N+1 test using discriminant 47, base 1+sqrt(47) Running N+1 test using discriminant 47, base 2+sqrt(47) Calling N+1 BLS with factored part 100.00% and helper 0.82% (302.46% proof) 33!-1 is prime! (0.0066s+0.0013s)(digits:37) Primality testing 38!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 Running N+1 test using discriminant 47, base 1+sqrt(47) Running N+1 test using discriminant 47, base 2+sqrt(47) Calling N+1 BLS with factored part 100.00% and helper 8.78% (310.14% proof) 38!-1 is prime! (0.0062s+0.0013s)(digits:45) Primality testing 94!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 131 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 4.74% (304.74% proof) 94!-1 is prime! (0.0136s+0.0008s)(digits:147) Primality testing 166!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 173 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 100.00% and helper 0.10% (300.30% proof) 166!-1 is prime! (0.0288s+0.0010s)(digits:298) Primality testing 324!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 331 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 100.00% and helper 1.38% (301.38% proof) 324!-1 is prime! (0.0989s+0.0009s)(digits:675) Primality testing 379!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 383 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 100.00% and helper 0.04% (300.07% proof) 379!-1 is prime! (0.1112s+0.0009s)(digits:815) Primality testing 469!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 499 Running N+1 test using discriminant 509, base 1+sqrt(509) Running N+1 test using discriminant 509, base 2+sqrt(509) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.09% proof) 469!-1 is prime! (0.2493s+0.0011s)(digits:1051) Primality testing 546!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 547 Running N+1 test using discriminant 563, base 1+sqrt(563) Running N+1 test using discriminant 563, base 2+sqrt(563) Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.07% proof) 546!-1 is prime! (0.3396s+0.0012s)(digits:1260) Primality testing 974!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 977 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 100.00% and helper 0.13% (300.17% proof) 974!-1 is prime! (1.2595s+0.0012s)(digits:2490) Primality testing 1963!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1973 Running N+1 test using discriminant 1987, base 1+sqrt(1987) Running N+1 test using discriminant 1987, base 2+sqrt(1987) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 1963!-1 is prime! (5.6900s+0.0015s)(digits:5614) Primality testing 3507!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3511 Running N+1 test using discriminant 3529, base 1+sqrt(3529) Running N+1 test using discriminant 3529, base 2+sqrt(3529) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 3507!-1 is prime! (24.0692s+0.0016s)(digits:10912) Caldwell Cruncher 10/1992 Primality testing 3610!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3613 Running N+1 test using discriminant 3631, base 1+sqrt(3631) Running N+1 test using discriminant 3631, base 2+sqrt(3631) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 3610!-1 is prime! (25.1494s+0.0028s)(digits:11277) Caldwell Cruncher 10/1993 Primality testing 6917!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 6949 Running N+1 test using discriminant 6967, base 1+sqrt(6967) Running N+1 test using discriminant 6967, base 2+sqrt(6967) Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.02% proof) 6917!-1 is prime! (126.0193s+0.0030s)(digits:23560) Caldwell g1 10/1998 Primality testing 21480!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 21487 Running N+1 test using discriminant 21493, base 1+sqrt(21493) Running N+1 test using discriminant 21493, base 2+sqrt(21493) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 21480!-1 is prime! (2443.6087s+0.0313s)(digits:83727) DavisK Kuosa p65 09/2001 Primality testing 34790!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 34807 Running N+1 test using discriminant 34841, base 1+sqrt(34841) Running N+1 test using discriminant 34841, base 2+sqrt(34841) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 34790!-1 is prime! (8811.8953s+0.0586s)(digits:142891) Marchal Carmody Kuosa p85 05/2002 Primality testing 94550!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 94561 Running N+1 test using discriminant 94603, base 1+sqrt(94603) Running N+1 test using discriminant 94603, base 2+sqrt(94603) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 94550!-1 is prime! (104432.3974s+0.6667s)(digits:429390) Domanov1 p290 10/2010 Primality testing 103040!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 103043 Running N+1 test using discriminant 103079, base 1+sqrt(103079) Running N+1 test using discriminant 103079, base 2+sqrt(103079) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 103040!-1 is prime! (98915.1123s+0.6220s)(digits:471794) Winskill1 p301 12/2010 Primality testing 147855!-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 147881 Running N+1 test using discriminant 147937, base 1+sqrt(147937) Running N+1 test using discriminant 147937, base 2+sqrt(147937) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 147855!-1 is prime! (216929.7359s+2.1941s)(digits:700177) Snow p362 09/2013 # testing by Chris K. Caldwell Primality testing 208003!-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 208009, base 1+sqrt(208009) Calling Brillhart-Lehmer-Selfridge with factored part 33.66% 208003!-1 is prime! (114492.3238s+1.5017s) (digits:1015843) Sou Fukui 07/2016