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] Calling Brillhart-Lehmer-Selfridge with factored part 40.54% 129!21-1 is prime! (0.040000 seconds) (digits:12) Primality testing 135!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 42.50% 135!21-1 is prime! (0.010000 seconds) (digits:13) Primality testing 140!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 53.66% 140!21-1 is prime! (0.030000 seconds) (digits:13) Primality testing 174!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.04% 174!21-1 is prime! (0.010000 seconds) (digits:17) Primality testing 215!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 42.65% 215!21-1 is prime! (0.020000 seconds) (digits:21) Primality testing 318!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 49.07% 318!21-1 is prime! (0.010000 seconds) (digits:33) Primality testing 345!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.45% 345!21-1 is prime! (0.030000 seconds) (digits:37) Primality testing 353!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 38.52% 353!21-1 is prime! (0.020000 seconds) (digits:37) Primality testing 396!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 45.32% 396!21-1 is prime! (0.021000 seconds) (digits:42) Primality testing 408!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 45.52% 408!21-1 is prime! (0.020000 seconds) (digits:44) Primality testing 417!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 43.92% 417!21-1 is prime! (0.030000 seconds) (digits:45) Primality testing 648!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 43.32% 648!21-1 is prime! (0.030000 seconds) (digits:75) Primality testing 983!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.08% 983!21-1 is prime! (0.120000 seconds) (digits:122) Primality testing 1056!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 40.18% 1056!21-1 is prime! (0.050000 seconds) (digits:132) Primality testing 1299!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.66% 1299!21-1 is prime! (0.130000 seconds) (digits:168) Primality testing 1319!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.34% 1319!21-1 is prime! (0.200000 seconds) (digits:171) Primality testing 1431!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.04% 1431!21-1 is prime! (0.081000 seconds) (digits:188) Primality testing 1568!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 35.36% 1568!21-1 is prime! (0.100000 seconds) (digits:208) Primality testing 1605!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 36.39% 1605!21-1 is prime! (0.150000 seconds) (digits:214) Primality testing 1719!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 35.77% 1719!21-1 is prime! (0.330000 seconds) (digits:231) Primality testing 2495!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.07% 2495!21-1 is prime! (0.742000 seconds) (digits:354) Primality testing 3693!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.87% 3693!21-1 is prime! (0.620000 seconds) (digits:553) Primality testing 3710!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 40.87% 3710!21-1 is prime! (0.681000 seconds) (digits:556) Primality testing 4205!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.21% 4205!21-1 is prime! (0.902000 seconds) (digits:641) Primality testing 4541!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.82% 4541!21-1 is prime! (1.121000 seconds) (digits:699) Primality testing 4710!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.00% 4710!21-1 is prime! (4.216000 seconds) (digits:729) Primality testing 4758!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 36.58% 4758!21-1 is prime! (1.052000 seconds) (digits:737) Primality testing 4790!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.44% 4790!21-1 is prime! (3.325000 seconds) (digits:743) Primality testing 4919!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.37% 4919!21-1 is prime! (1.222000 seconds) (digits:766) Primality testing 6554!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.20% 6554!21-1 is prime! (7.991000 seconds) (digits:1058) Primality testing 8211!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 48.57% 8211!21-1 is prime! (11.366000 seconds) (digits:1363) Primality testing 8705!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.78% 8705!21-1 is prime! (1.735000 seconds) (digits:1456) Primality testing 8883!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 48.19% 8883!21-1 is prime! (6.906000 seconds) (digits:1489) Primality testing 11813!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.52% 11813!21-1 is prime! (10.453000 seconds) (digits:2049) Primality testing 12911!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.03% 12911!21-1 is prime! (4.391000 seconds) (digits:2263) Primality testing 14088!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.87% 14088!21-1 is prime! (5.015000 seconds) (digits:2494) Primality testing 14453!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.77% 14453!21-1 is prime! (6.453000 seconds) (digits:2567) Primality testing 14969!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.79% 14969!21-1 is prime! (6.766000 seconds) (digits:2669) Primality testing 15137!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 15137!21-1 is prime! (19.906000 seconds) (digits:2702) Primality testing 17982!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.93% 17982!21-1 is prime! (37.937000 seconds) (digits:3274) Primality testing 19841!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 19841!21-1 is prime! (12.141000 seconds) (digits:3653) Primality testing 20349!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 43.78% 20349!21-1 is prime! (31.813000 seconds) (digits:3757) Primality testing 21621!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 35.63% 21621!21-1 is prime! (13.844000 seconds) (digits:4019) Primality testing 22934!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 22934!21-1 is prime! (17.828000 seconds) (digits:4290) Primality testing 27186!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.71% 27186!21-1 is prime! (25.922000 seconds) (digits:5181) Primality testing 27692!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 36.46% 27692!21-1 is prime! (26.250000 seconds) (digits:5288) Primality testing 29634!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.38% 29634!21-1 is prime! (151.156000 seconds) (digits:5700) Primality testing 32645!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.51% 32645!21-1 is prime! (145.095000 seconds) (digits:6345) Primality testing 33660!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.94% 33660!21-1 is prime! (180.649000 seconds) (digits:6563) Primality testing 47393!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.61% 47393!21-1 is prime! (346.635000 seconds) (digits:9575) Primality testing 48722!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.62% 48722!21-1 is prime! (478.222000 seconds) (digits:9871) Primality testing 54348!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 39.52% 54348!21-1 is prime! (246.476000 seconds) (digits:11133) Ian Brown 05/2003 Primality testing 61169!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.60% 61169!21-1 is prime! (606.232000 seconds) (digits:12680) Ian Brown 05/2003 Primality testing 64388!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.53% 64388!21-1 is prime! (306.385000 seconds) (digits:13416) Ian Brown 05/2003 Primality testing 78372!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 38.13% 78372!21-1 is prime! (1327.215000 seconds) (digits:16647) Ian Brown 05/2003 Primality testing 85941!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.14% 85941!21-1 is prime! (1096.021000 seconds) (digits:18419) Ian Brown 05/2003 Primality testing 92627!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.49% 92627!21-1 is prime! (761.883000 seconds) (digits:19995) Ian Brown 05/2003 Primality testing 97922!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.36% 97922!21-1 is prime! (2455.143000 seconds) (digits:21250) Ian Brown 05/2003 Primality testing 101871!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 37.19% 101871!21-1 is prime! (2452.887000 seconds) (digits:22190) Ian Brown 05/2003 Primality testing 104753!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.50% 104753!21-1 is prime! (974.241000 seconds) (digits:22879) Ian Brown 05/2003 Primality testing 110394!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.34% 110394!21-1 is prime! (2734.052000 seconds) (digits:24230) Ian Brown 05/2003 Primality testing 118073!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.53% 118073!21-1 is prime! (5410.0592s+0.5077s) (digits:26080) Ian Brown 06/2003 Primality testing 128240!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.50% 128240!21-1 is prime! (963.416000 seconds) (digits:28544) Ian Brown 06/2003 Primality testing 133689!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.07% 133689!21-1 is prime! (2758.844000 seconds) (digits:29872) Ian Brown 07/2003 Primality testing 134145!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.04% 134145!21-1 is prime! (3619.016000 seconds) (digits:29983) Ian Brown 07/2003 Primality testing 158826!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 158826!21-1 is prime! (7485.250000 seconds) (digits:36054) Andrea Pacini 12/2003 Primality testing 161571!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 161571!21-1 is prime! (2808.230000 seconds) (digits:36734) Andrea Pacini 12/2003 Primality testing 162858!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.46% 162858!21-1 is prime! (1451.2934s+0.0778s) (digits:37053) Andrea Pacini 12/2003 Primality testing 168231!21-1 [N+1, Brillhart-Lehmer-Selfridge Calling Brillhart-Lehmer-Selfridge with factored part 35.50% 168231!21-1 is prime! (4005.440000 seconds) (digits:38388) Andrea Pacini 01/2004 Primality testing 180246!21-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.24% 180246!21-1 is prime! (5260.0206s+0.4127s) (digits:41387) Jason Fraser 09/2006 Primality testing 235416!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13151, base 1+sqrt(13151) Calling Brillhart-Lehmer-Selfridge with factored part 33.44% 235416!21-1 is prime! (643.7098s+0.0553s) (digits: 55355) Richard Kapek 08/2010 Primality testing 273983!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 273983!21-1 is prime! (905.2444s+0.0764s) (digits: 65282) Richard Kapek 08/2010 Primality testing 348149!21-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 17713, base 3+sqrt(17713) Running N+1 test using discriminant 17713, base 6+sqrt(17713) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 348149!21-1 is prime! (12788.8918s+0.2613s) (digits:84678) Marian Otremba 10/2013 Primality testing 485819!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.41% 485819!21-1 is prime! (1177.2625s+0.3472s)(digits:121509) Marian Otremba 02/2022 Primality testing 487245!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 33.96% 487245!21-1 is prime! (1151.4040s+0.4139s)(digits:121895) Marian Otremba 02/2022 Primality testing 496118!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 34.34% 496118!21-1 is prime! (1537.2349s+0.3630s)(digits:124300) Marian Otremba 02/2022 Primality testing 496377!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 23669, base 1+sqrt(23669) Calling Brillhart-Lehmer-Selfridge with factored part 38.06% 496377!21-1 is prime! (1795.5677s+0.3874s)(digits:124370) Marian Otremba 02/2022 Primality testing 665126!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.53% 665126!21-1 is prime! (2473.3230s+0.5733s)(digits:170675) Marian Otremba 04/2022 Primality testing 687132!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 38377, base 1+sqrt(38377) Calling Brillhart-Lehmer-Selfridge with factored part 33.74% 687132!21-1 is prime! (2547.6604s+0.6363s)(digits:176784) Marian Otremba 04/2022 Primality testing 722937!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 33.61% 722937!21-1 is prime! (2896.5216s+0.6637s)(digits:186756) Marian Otremba 04/2022 Primality testing 781896!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 43441, base 1+sqrt(43441) Calling Brillhart-Lehmer-Selfridge with factored part 33.40% 781896!21-1 is prime! (4317.8839s+0.9161s)(digits:203254) Marian Otremba 06/2022 Primality testing 939096!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 52361, base 1+sqrt(52361) Calling Brillhart-Lehmer-Selfridge with factored part 33.57% 939096!21-1 is prime! (7441.4042s+1.2572s)(digits:247675) Marian Otremba 07/2022 Primality testing 979667!21-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 979667!21-1 is prime! (7306.0404s+1.3631s)(digits:259232) Marian Otremba 07/2022