4!27-1 trivally factors prime!: 3 (digits:1) 6!27-1 trivally factors prime!: 5 (digits:1) 8!27-1 trivally factors prime!: 7 (digits:1) 12!27-1 trivally factors prime!: 11 (digits:2) 14!27-1 trivally factors prime!: 13 (digits:2) 18!27-1 trivally factors prime!: 17 (digits:2) 20!27-1 trivally factors prime!: 19 (digits:2) 24!27-1 trivally factors prime!: 23 (digits:2) 30!27-1 trivally factors prime!: 89 (digits:2) 33!27-1 trivally factors prime!: 197 (digits:3) 39!27-1 trivally factors prime!: 467 (digits:3) 45!27-1 trivally factors prime!: 809 (digits:3) 51!27-1 trivally factors prime!: 1223 (digits:4) 59!27-1 trivally factors prime!: 9439 (digits:4) 62!27-1 trivally factors prime!: 17359 (digits:5) 63!27-1 trivally factors prime!: 20411 (digits:5) 78!27-1 trivally factors prime!: 95471 (digits:5) 87!27-1 trivally factors prime!: 1033559 (digits:7) 99!27-1 trivally factors prime!: 5773679 (digits:7) 105!27-1 trivally factors prime!: 10024559 (digits:8) 119!27-1 trivally factors prime!: 297457159 (digits:9) 129!27-1 trivally factors prime!: 994744799 (digits:9) 132!27-1 trivally factors prime!: 1323241919 (digits:10) 135!27-1 trivally factors prime!: 1721868839 (digits:10) Primality testing 144!27-1 [N-1, Brillhart-Lehmer-Selfridge] 144!27-1 is prime! (0.0193s+0.0006s)(digits:11) Primality testing 150!27-1 [N-1, Brillhart-Lehmer-Selfridge] 150!27-1 is prime! (0.0199s+0.0007s)(digits:11) Primality testing 162!27-1 [N-1, Brillhart-Lehmer-Selfridge] 162!27-1 is prime! (0.0209s+0.0007s)(digits:12) Primality testing 168!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N-1 test using base 31 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 100.00% (402.44% proof) 168!27-1 is prime! (0.0328s+0.0008s)(digits:13) Primality testing 176!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 13, base 2+sqrt(13) Running N+1 test using discriminant 13, base 3+sqrt(13) Calling N+1 BLS with factored part 100.00% and helper 20.93% (323.26% proof) 176!27-1 is prime! (0.0300s+0.0008s)(digits:14) Primality testing 261!27-1 [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 1.49% (304.48% proof) 261!27-1 is prime! (0.0270s+0.0007s)(digits:21) Primality testing 264!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 37, base 1+sqrt(37) Running N+1 test using discriminant 37, base 2+sqrt(37) Calling N+1 BLS with factored part 100.00% and helper 1.47% (302.94% proof) 264!27-1 is prime! (0.0290s+0.0008s)(digits:21) Primality testing 281!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 29, base 1+sqrt(29) Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N+1 BLS with factored part 100.00% and helper 2.70% (304.05% proof) 281!27-1 is prime! (0.0278s+0.0007s)(digits:23) Primality testing 282!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 37, base 1+sqrt(37) Running N+1 test using discriminant 37, base 2+sqrt(37) Calling N+1 BLS with factored part 100.00% and helper 17.57% (320.27% proof) 282!27-1 is prime! (0.0306s+0.0008s)(digits:23) Primality testing 318!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 31, base 1+sqrt(31) Running N+1 test using discriminant 31, base 2+sqrt(31) Calling N+1 BLS with factored part 100.00% and helper 5.95% (309.52% proof) 318!27-1 is prime! (0.0278s+0.0007s)(digits:26) Primality testing 351!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N+1 test using discriminant 47, base 1+sqrt(47) Running N+1 test using discriminant 47, base 2+sqrt(47) Calling N+1 BLS with factored part 100.00% and helper 1.06% (302.13% proof) 351!27-1 is prime! (0.0274s+0.0008s)(digits:29) Primality testing 360!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 Running N+1 test using discriminant 41, base 1+sqrt(41) Running N+1 test using discriminant 41, base 2+sqrt(41) Calling N+1 BLS with factored part 100.00% and helper 1.02% (303.06% proof) 360!27-1 is prime! (0.0276s+0.0007s)(digits:30) Primality testing 375!27-1 [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 9.80% (310.78% proof) 375!27-1 is prime! (0.0370s+0.0007s)(digits:31) Primality testing 399!27-1 [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 38.18% (340.00% proof) 399!27-1 is prime! (0.0298s+0.0008s)(digits:34) Primality testing 438!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 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 16.26% (317.89% proof) 438!27-1 is prime! (0.0296s+0.0008s)(digits:38) Primality testing 441!27-1 [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 0.80% (300.80% proof) 441!27-1 is prime! (0.0280s+0.0011s)(digits:38) Primality testing 465!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 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 0.76% (302.27% proof) 465!27-1 is prime! (0.0288s+0.0007s)(digits:40) Primality testing 486!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 29, base 1+sqrt(29) Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N+1 BLS with factored part 100.00% and helper 0.72% (300.72% proof) 486!27-1 is prime! (0.0275s+0.0007s)(digits:42) Primality testing 494!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 23 Running N-1 test using base 41 Running N-1 test using base 47 Running N-1 test using base 71 Running N+1 test using discriminant 79, base 3+sqrt(79) Running N+1 test using discriminant 79, base 4+sqrt(79) Calling N+1 BLS with factored part 100.00% and helper 1.41% (302.82% proof) 494!27-1 is prime! (0.0324s+0.0007s)(digits:43) Primality testing 504!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 67 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 0.69% (300.69% proof) 504!27-1 is prime! (0.0290s+0.0007s)(digits:44) Primality testing 522!27-1 [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 0.66% (301.99% proof) 522!27-1 is prime! (0.0286s+0.0008s)(digits:46) Primality testing 549!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 Running N+1 test using discriminant 73, base 1+sqrt(73) Running N+1 test using discriminant 73, base 2+sqrt(73) Calling N+1 BLS with factored part 100.00% and helper 8.13% (310.00% proof) 549!27-1 is prime! (0.0289s+0.0007s)(digits:49) Primality testing 554!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 37, base 1+sqrt(37) Running N+1 test using discriminant 37, base 3+sqrt(37) Calling N+1 BLS with factored part 100.00% and helper 7.41% (308.02% proof) 554!27-1 is prime! (0.0302s+0.0007s)(digits:49) Primality testing 570!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 31 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 3.59% (304.79% proof) 570!27-1 is prime! (0.0299s+0.0007s)(digits:51) Primality testing 615!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 67 Running N+1 test using discriminant 73, base 1+sqrt(73) Running N+1 test using discriminant 73, base 2+sqrt(73) Calling N+1 BLS with factored part 100.00% and helper 6.59% (307.14% proof) 615!27-1 is prime! (0.0302s+0.0007s)(digits:55) Primality testing 636!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 71 Running N+1 test using discriminant 107, base 1+sqrt(107) Running N+1 test using discriminant 107, base 2+sqrt(107) Calling N+1 BLS with factored part 100.00% and helper 11.58% (312.11% proof) 636!27-1 is prime! (0.0310s+0.0007s)(digits:58) Primality testing 639!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 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 5.24% (305.76% proof) 639!27-1 is prime! (0.0298s+0.0007s)(digits:58) Primality testing 650!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 43, base 3+sqrt(43) Running N+1 test using discriminant 43, base 5+sqrt(43) Calling N+1 BLS with factored part 100.00% and helper 7.22% (308.25% proof) 650!27-1 is prime! (0.0315s+0.0010s)(digits:59) Primality testing 681!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 Running N+1 test using discriminant 71, base 1+sqrt(71) Running N+1 test using discriminant 71, base 3+sqrt(71) Calling N+1 BLS with factored part 100.00% and helper 13.59% (314.08% proof) 681!27-1 is prime! (0.0316s+0.0007s)(digits:63) Primality testing 687!27-1 [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 5.29% (305.77% proof) 687!27-1 is prime! (0.0319s+0.0007s)(digits:63) Primality testing 710!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 5.56% (306.02% proof) 710!27-1 is prime! (0.0330s+0.0007s)(digits:66) Primality testing 713!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 37, base 1+sqrt(37) Running N+1 test using discriminant 37, base 3+sqrt(37) Calling N+1 BLS with factored part 100.00% and helper 0.92% (301.84% proof) 713!27-1 is prime! (0.0323s+0.0007s)(digits:66) Primality testing 836!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 61 Running N-1 test using base 71 Running N-1 test using base 79 Running N-1 test using base 83 Running N+1 test using discriminant 103, base 2+sqrt(103) Running N+1 test using discriminant 103, base 3+sqrt(103) Calling N+1 BLS with factored part 100.00% and helper 9.27% (310.04% proof) 836!27-1 is prime! (0.0381s+0.0007s)(digits:79) Primality testing 996!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 97 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 4.09% (304.72% proof) 996!27-1 is prime! (0.0378s+0.0007s)(digits:96) Primality testing 1083!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 71 Running N+1 test using discriminant 107, base 1+sqrt(107) Running N+1 test using discriminant 107, base 2+sqrt(107) Calling N+1 BLS with factored part 100.00% and helper 7.69% (308.26% proof) 1083!27-1 is prime! (0.0391s+0.0007s)(digits:106) Primality testing 1110!27-1 [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 3.32% (304.16% proof) 1110!27-1 is prime! (0.0415s+0.0007s)(digits:109) Primality testing 1142!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 79 Running N+1 test using discriminant 103, base 2+sqrt(103) Running N+1 test using discriminant 103, base 3+sqrt(103) Calling N+1 BLS with factored part 100.00% and helper 0.53% (300.80% proof) 1142!27-1 is prime! (0.0435s+0.0008s)(digits:113) Primality testing 1182!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 83 Running N+1 test using discriminant 103, base 1+sqrt(103) Running N+1 test using discriminant 103, base 2+sqrt(103) Calling N+1 BLS with factored part 100.00% and helper 9.28% (309.79% proof) 1182!27-1 is prime! (0.0414s+0.0007s)(digits:117) Primality testing 1236!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 113 Running N+1 test using discriminant 131, base 1+sqrt(131) Running N+1 test using discriminant 131, base 3+sqrt(131) Calling N+1 BLS with factored part 100.00% and helper 2.44% (302.44% proof) 1236!27-1 is prime! (0.0420s+0.0008s)(digits:124) Primality testing 1263!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 83 Running N+1 test using discriminant 139, base 1+sqrt(139) Running N+1 test using discriminant 139, base 2+sqrt(139) Calling N+1 BLS with factored part 100.00% and helper 2.39% (302.63% proof) 1263!27-1 is prime! (0.0438s+0.0008s)(digits:127) Primality testing 1293!27-1 [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 0.23% (300.47% proof) 1293!27-1 is prime! (0.0435s+0.0008s)(digits:130) Primality testing 1355!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 73, base 1+sqrt(73) Running N+1 test using discriminant 73, base 3+sqrt(73) Calling N+1 BLS with factored part 100.00% and helper 0.44% (300.66% proof) 1355!27-1 is prime! (0.0470s+0.0007s)(digits:138) Primality testing 1424!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 0.42% (300.83% proof) 1424!27-1 is prime! (0.0523s+0.0007s)(digits:145) Primality testing 1631!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 89 Running N-1 test using base 139 Running N+1 test using discriminant 157, base 2+sqrt(157) Running N+1 test using discriminant 157, base 3+sqrt(157) Calling N+1 BLS with factored part 100.00% and helper 0.89% (301.24% proof) 1631!27-1 is prime! (0.0631s+0.0007s)(digits:170) Primality testing 1815!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 89 Running N+1 test using discriminant 107, base 1+sqrt(107) Running N+1 test using discriminant 107, base 2+sqrt(107) Calling N+1 BLS with factored part 100.00% and helper 2.04% (302.36% proof) 1815!27-1 is prime! (0.0571s+0.0007s)(digits:192) Primality testing 1905!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 103 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 0.15% (300.45% proof) 1905!27-1 is prime! (0.0728s+0.0007s)(digits:203) Primality testing 2517!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 179 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 100.00% and helper 1.41% (301.73% proof) 2517!27-1 is prime! (0.0867s+0.0008s)(digits:279) Primality testing 2984!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 167 Running N+1 test using discriminant 197, base 1+sqrt(197) Running N+1 test using discriminant 197, base 2+sqrt(197) Calling N+1 BLS with factored part 100.00% and helper 1.43% (301.52% proof) 2984!27-1 is prime! (0.1512s+0.0008s)(digits:338) Primality testing 3086!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 127 Running N-1 test using base 131 Running N+1 test using discriminant 157, base 2+sqrt(157) Running N+1 test using discriminant 157, base 3+sqrt(157) Calling N+1 BLS with factored part 100.00% and helper 0.17% (300.26% proof) 3086!27-1 is prime! (0.1690s+0.0008s)(digits:352) Primality testing 3206!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 173 Running N+1 test using discriminant 239, base 1+sqrt(239) Running N+1 test using discriminant 239, base 2+sqrt(239) Calling N+1 BLS with factored part 100.00% and helper 1.56% (301.64% proof) 3206!27-1 is prime! (0.2022s+0.0008s)(digits:367) Primality testing 3374!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 0.16% (300.23% proof) 3374!27-1 is prime! (0.1433s+0.0008s)(digits:389) Primality testing 3461!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 157, base 2+sqrt(157) Running N+1 test using discriminant 157, base 3+sqrt(157) Calling N+1 BLS with factored part 100.00% and helper 1.66% (301.73% proof) 3461!27-1 is prime! (0.1754s+0.0007s)(digits:400) Primality testing 3732!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 179 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 100.00% and helper 1.45% (301.52% proof) 3732!27-1 is prime! (0.1750s+0.0008s)(digits:436) Primality testing 4053!27-1 [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 100.00% and helper 0.76% (300.88% proof) 4053!27-1 is prime! (0.8280s+0.0008s)(digits:479) Primality testing 4493!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 197, base 1+sqrt(197) Running N+1 test using discriminant 197, base 2+sqrt(197) Calling N+1 BLS with factored part 100.00% and helper 0.95% (301.12% proof) 4493!27-1 is prime! (0.2842s+0.0008s)(digits:538) Primality testing 4541!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 269 Running N+1 test using discriminant 277, base 3+sqrt(277) Running N+1 test using discriminant 277, base 4+sqrt(277) Calling N+1 BLS with factored part 100.00% and helper 1.33% (301.33% proof) 4541!27-1 is prime! (0.3023s+0.0008s)(digits:545) Primality testing 5154!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 293 Running N+1 test using discriminant 379, base 1+sqrt(379) Running N+1 test using discriminant 379, base 2+sqrt(379) Calling N+1 BLS with factored part 100.00% and helper 1.15% (301.20% proof) 5154!27-1 is prime! (0.3994s+0.0008s)(digits:628) Primality testing 5529!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 263 Running N+1 test using discriminant 271, base 1+sqrt(271) Running N+1 test using discriminant 271, base 2+sqrt(271) Calling N+1 BLS with factored part 100.00% and helper 0.04% (300.09% proof) 5529!27-1 is prime! (0.3874s+0.0008s)(digits:680) Primality testing 5798!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 233 Running N+1 test using discriminant 277, base 3+sqrt(277) Running N+1 test using discriminant 277, base 4+sqrt(277) Calling N+1 BLS with factored part 100.00% and helper 0.08% (300.21% proof) 5798!27-1 is prime! (0.6052s+0.0008s)(digits:717) Primality testing 6449!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 100.00% and helper 0.19% (300.30% proof) 6449!27-1 is prime! (0.5362s+0.0008s)(digits:808) Primality testing 6539!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 0.07% (300.07% proof) 6539!27-1 is prime! (0.6722s+0.0008s)(digits:821) Primality testing 8118!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 547 Running N+1 test using discriminant 607, base 1+sqrt(607) Running N+1 test using discriminant 607, base 2+sqrt(607) Calling N+1 BLS with factored part 100.00% and helper 0.40% (300.43% proof) 8118!27-1 is prime! (0.8325s+0.0009s)(digits:1047) Primality testing 8250!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 409 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 100.00% and helper 0.03% (300.06% proof) 8250!27-1 is prime! (1.0770s+0.0008s)(digits:1067) Primality testing 8276!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 457, base 3+sqrt(457) Running N+1 test using discriminant 457, base 4+sqrt(457) Calling N+1 BLS with factored part 100.00% and helper 0.70% (300.70% proof) 8276!27-1 is prime! (1.2829s+0.0012s)(digits:1070) Primality testing 8340!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 419 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 100.00% and helper 0.47% (300.56% proof) 8340!27-1 is prime! (0.8220s+0.0009s)(digits:1079) Primality testing 8609!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 100.00% and helper 0.43% (300.51% proof) 8609!27-1 is prime! (1.0529s+0.0009s)(digits:1119) Primality testing 9789!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 463 Running N+1 test using discriminant 569, base 1+sqrt(569) Running N+1 test using discriminant 569, base 2+sqrt(569) Calling N+1 BLS with factored part 100.00% and helper 0.54% (300.56% proof) 9789!27-1 is prime! (1.3362s+0.0009s)(digits:1292) Primality testing 10385!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 599 Running N+1 test using discriminant 607, base 2+sqrt(607) Running N+1 test using discriminant 607, base 3+sqrt(607) Calling N+1 BLS with factored part 100.00% and helper 0.04% (300.09% proof) 10385!27-1 is prime! (1.8007s+0.0009s)(digits:1380) Primality testing 11204!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 601 Running N+1 test using discriminant 659, base 1+sqrt(659) Running N+1 test using discriminant 659, base 2+sqrt(659) Calling N+1 BLS with factored part 100.00% and helper 0.26% (300.28% proof) 11204!27-1 is prime! (1.9624s+0.0009s)(digits:1502) Primality testing 13281!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 739 Running N+1 test using discriminant 797, base 1+sqrt(797) Running N+1 test using discriminant 797, base 2+sqrt(797) Calling N+1 BLS with factored part 100.00% and helper 0.25% (300.25% proof) 13281!27-1 is prime! (2.6484s+0.0010s)(digits:1817) Primality testing 13835!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 683, base 1+sqrt(683) Running N+1 test using discriminant 683, base 2+sqrt(683) Calling N+1 BLS with factored part 100.00% and helper 0.28% (300.33% proof) 13835!27-1 is prime! (3.3242s+0.0010s)(digits:1902) Primality testing 14535!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 839 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 100.00% and helper 0.25% (300.28% proof) 14535!27-1 is prime! (2.2668s+0.0010s)(digits:2010) Primality testing 14858!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 673, base 3+sqrt(673) Running N+1 test using discriminant 673, base 4+sqrt(673) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.04% proof) 14858!27-1 is prime! (3.5880s+0.0010s)(digits:2060) Primality testing 15254!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 709, base 3+sqrt(709) Running N+1 test using discriminant 709, base 4+sqrt(709) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.04% proof) 15254!27-1 is prime! (5.2723s+0.0011s)(digits:2120) Primality testing 15569!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 100.00% and helper 0.50% (300.53% proof) 15569!27-1 is prime! (4.3313s+0.0020s)(digits:2170) Primality testing 15779!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 743, base 1+sqrt(743) Running N+1 test using discriminant 743, base 2+sqrt(743) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.05% proof) 15779!27-1 is prime! (4.7091s+0.0011s)(digits:2202) Primality testing 17028!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 997 Running N+1 test using discriminant 1039, base 1+sqrt(1039) Running N+1 test using discriminant 1039, base 2+sqrt(1039) Calling N+1 BLS with factored part 100.00% and helper 0.18% (300.20% proof) 17028!27-1 is prime! (3.2390s+0.0011s)(digits:2397) Primality testing 17196!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 757 Running N+1 test using discriminant 829, base 1+sqrt(829) Running N+1 test using discriminant 829, base 2+sqrt(829) Calling N+1 BLS with factored part 100.00% and helper 0.16% (300.19% proof) 17196!27-1 is prime! (6.3118s+0.0011s)(digits:2423) Primality testing 19389!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 809 Running N+1 test using discriminant 953, base 1+sqrt(953) Running N+1 test using discriminant 953, base 2+sqrt(953) Calling N+1 BLS with factored part 100.00% and helper 0.34% (300.34% proof) 19389!27-1 is prime! (6.6678s+0.0012s)(digits:2770) Primality testing 20499!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 907 Running N+1 test using discriminant 1061, base 1+sqrt(1061) Running N+1 test using discriminant 1061, base 2+sqrt(1061) Calling N+1 BLS with factored part 100.00% and helper 0.16% (300.19% proof) 20499!27-1 is prime! (9.4900s+0.0013s)(digits:2947) Primality testing 22091!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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 100.00% and helper 0.02% (300.04% proof) 22091!27-1 is prime! (8.6594s+0.0022s)(digits:3202) Primality testing 22101!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1039 Running N+1 test using discriminant 1091, base 1+sqrt(1091) Running N+1 test using discriminant 1091, base 2+sqrt(1091) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 22101!27-1 is prime! (8.4275s+0.0013s)(digits:3203) Primality testing 22422!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 977 Running N+1 test using discriminant 1013, base 1+sqrt(1013) Running N+1 test using discriminant 1013, base 2+sqrt(1013) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 22422!27-1 is prime! (10.3762s+0.0013s)(digits:3255) Primality testing 23823!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1367 Running N+1 test using discriminant 1427, base 1+sqrt(1427) Running N+1 test using discriminant 1427, base 2+sqrt(1427) Calling N+1 BLS with factored part 100.00% and helper 0.13% (300.13% proof) 23823!27-1 is prime! (8.3316s+0.0013s)(digits:3482) Primality testing 24447!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1031 Running N+1 test using discriminant 1049, base 1+sqrt(1049) Running N+1 test using discriminant 1049, base 2+sqrt(1049) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 24447!27-1 is prime! (11.1985s+0.0022s)(digits:3583) Primality testing 24480!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1399 Running N+1 test using discriminant 1423, base 1+sqrt(1423) Running N+1 test using discriminant 1423, base 2+sqrt(1423) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.03% proof) 24480!27-1 is prime! (8.6647s+0.0019s)(digits:3588) Primality testing 24780!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1091 Running N+1 test using discriminant 1163, base 1+sqrt(1163) Running N+1 test using discriminant 1163, base 2+sqrt(1163) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 24780!27-1 is prime! (11.4188s+0.0014s)(digits:3637) Primality testing 25289!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 1171, base 1+sqrt(1171) Running N+1 test using discriminant 1171, base 3+sqrt(1171) Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.03% proof) 25289!27-1 is prime! (14.2637s+0.0022s)(digits:3720) Primality testing 26852!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 1039, base 2+sqrt(1039) Running N+1 test using discriminant 1039, base 3+sqrt(1039) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.03% proof) 26852!27-1 is prime! (15.4219s+0.0016s)(digits:3976) Primality testing 28421!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 1171 Running N+1 test using discriminant 1193, base 1+sqrt(1193) Running N+1 test using discriminant 1193, base 2+sqrt(1193) Calling N+1 BLS with factored part 100.00% and helper 0.15% (300.16% proof) 28421!27-1 is prime! (24.2608s+0.0017s)(digits:4234) Primality testing 28959!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1237 Running N+1 test using discriminant 1291, base 1+sqrt(1291) Running N+1 test using discriminant 1291, base 2+sqrt(1291) Calling N+1 BLS with factored part 100.00% and helper 0.20% (300.22% proof) 28959!27-1 is prime! (16.0817s+0.0026s)(digits:4323) Primality testing 29886!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1279 Running N+1 test using discriminant 1423, base 1+sqrt(1423) Running N+1 test using discriminant 1423, base 2+sqrt(1423) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 29886!27-1 is prime! (16.6078s+0.0017s)(digits:4476) Primality testing 31950!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1787 Running N+1 test using discriminant 1811, base 1+sqrt(1811) Running N+1 test using discriminant 1811, base 2+sqrt(1811) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.02% proof) 31950!27-1 is prime! (13.9359s+0.0027s)(digits:4819) Primality testing 32658!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1381 Running N+1 test using discriminant 1453, base 1+sqrt(1453) Running N+1 test using discriminant 1453, base 2+sqrt(1453) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 32658!27-1 is prime! (25.8345s+0.0019s)(digits:4937) Primality testing 33519!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1409 Running N+1 test using discriminant 1427, base 1+sqrt(1427) Running N+1 test using discriminant 1427, base 2+sqrt(1427) Calling N+1 BLS with factored part 100.00% and helper 0.11% (300.12% proof) 33519!27-1 is prime! (23.8390s+0.0029s)(digits:5082) Primality testing 34428!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1583 Running N+1 test using discriminant 1723, base 1+sqrt(1723) Running N+1 test using discriminant 1723, base 2+sqrt(1723) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 34428!27-1 is prime! (24.5659s+0.0021s)(digits:5234) Primality testing 34824!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1487 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 100.00% and helper 0.01% (300.01% proof) 34824!27-1 is prime! (24.8142s+0.0030s)(digits:5301) Primality testing 38520!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2143 Running N+1 test using discriminant 2179, base 1+sqrt(2179) Running N+1 test using discriminant 2179, base 2+sqrt(2179) Calling N+1 BLS with factored part 100.00% and helper 0.09% (300.10% proof) 38520!27-1 is prime! (22.3981s+0.0024s)(digits:5925) Primality testing 40122!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1511 Running N+1 test using discriminant 1531, base 1+sqrt(1531) Running N+1 test using discriminant 1531, base 2+sqrt(1531) Calling N+1 BLS with factored part 100.00% and helper 0.07% (300.08% proof) 40122!27-1 is prime! (15.9203s+0.0034s)(digits:6198) Primality testing 40728!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 1913 Running N+1 test using discriminant 1949, base 1+sqrt(1949) Running N+1 test using discriminant 1949, base 2+sqrt(1949) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 40728!27-1 is prime! (30.6837s+0.0026s)(digits:6302) Primality testing 48447!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2693 Running N+1 test using discriminant 2753, base 1+sqrt(2753) Running N+1 test using discriminant 2753, base 2+sqrt(2753) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 48447!27-1 is prime! (43.0798s+0.0057s)(digits:7631) Primality testing 50214!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2099 Running N+1 test using discriminant 2243, base 1+sqrt(2243) Running N+1 test using discriminant 2243, base 2+sqrt(2243) Calling N+1 BLS with factored part 100.00% and helper 0.08% (300.08% proof) 50214!27-1 is prime! (58.7493s+0.0045s)(digits:7938) Primality testing 54258!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2281 Running N+1 test using discriminant 2551, base 1+sqrt(2551) Running N+1 test using discriminant 2551, base 2+sqrt(2551) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 54258!27-1 is prime! (71.5147s+0.0049s)(digits:8644) Primality testing 54309!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2273 Running N+1 test using discriminant 2399, base 1+sqrt(2399) Running N+1 test using discriminant 2399, base 2+sqrt(2399) Calling N+1 BLS with factored part 100.00% and helper 0.12% (300.12% proof) 54309!27-1 is prime! (70.9945s+0.0049s)(digits:8653) Primality testing 55305!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3119 Running N+1 test using discriminant 3167, base 1+sqrt(3167) Running N+1 test using discriminant 3167, base 2+sqrt(3167) Calling N+1 BLS with factored part 100.00% and helper 0.12% (300.13% proof) 55305!27-1 is prime! (56.0196s+0.0052s)(digits:8828) Primality testing 56877!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2389 Running N+1 test using discriminant 2551, base 1+sqrt(2551) Running N+1 test using discriminant 2551, base 2+sqrt(2551) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 56877!27-1 is prime! (75.3687s+0.0051s)(digits:9105) Primality testing 57657!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2417 Running N+1 test using discriminant 2543, base 1+sqrt(2543) Running N+1 test using discriminant 2543, base 2+sqrt(2543) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 57657!27-1 is prime! (75.9552s+0.0054s)(digits:9242) Primality testing 65397!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2753 Running N+1 test using discriminant 2843, base 1+sqrt(2843) Running N+1 test using discriminant 2843, base 2+sqrt(2843) Calling N+1 BLS with factored part 100.00% and helper 0.06% (300.06% proof) 65397!27-1 is prime! (112.5361s+0.0065s)(digits:10615) Marian Otremba 10/2013 Primality testing 66113!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 3083, base 1+sqrt(3083) Running N+1 test using discriminant 3083, base 2+sqrt(3083) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 66113!27-1 is prime! (140.6880s+0.0075s)(digits:10743) Marian Otremba 10/2013 Primality testing 68433!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2857 Running N+1 test using discriminant 3001, base 1+sqrt(3001) Running N+1 test using discriminant 3001, base 2+sqrt(3001) Calling N+1 BLS with factored part 100.00% and helper 0.05% (300.05% proof) 68433!27-1 is prime! (120.2871s+0.0072s)(digits:11158) Marian Otremba 10/2013 Primality testing 69324!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3109 Running N+1 test using discriminant 3181, base 1+sqrt(3181) Running N+1 test using discriminant 3181, base 2+sqrt(3181) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.03% proof) 69324!27-1 is prime! (169.9565s+0.0071s)(digits:11317) Marian Otremba 10/2013 Primality testing 70068!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3023 Running N+1 test using discriminant 3203, base 1+sqrt(3203) Running N+1 test using discriminant 3203, base 2+sqrt(3203) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 70068!27-1 is prime! (170.1080s+0.0074s)(digits:11451) Marian Otremba 10/2013 Primality testing 71027!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 2953, base 1+sqrt(2953) Running N+1 test using discriminant 2953, base 3+sqrt(2953) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 71027!27-1 is prime! (206.5968s+0.0072s)(digits:11623) Marian Otremba 10/2013 Primality testing 71064!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2657 Running N+1 test using discriminant 2671, base 1+sqrt(2671) Running N+1 test using discriminant 2671, base 2+sqrt(2671) Calling N+1 BLS with factored part 100.00% and helper 0.05% (300.06% proof) 71064!27-1 is prime! (90.2995s+0.0073s)(digits:11629) Marian Otremba 10/2013 Primality testing 76098!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3371 Running N+1 test using discriminant 3389, base 1+sqrt(3389) Running N+1 test using discriminant 3389, base 2+sqrt(3389) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 76098!27-1 is prime! (140.8901s+0.0084s)(digits:12537) Marian Otremba 10/2013 Primality testing 78354!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2909 Running N+1 test using discriminant 2927, base 1+sqrt(2927) Running N+1 test using discriminant 2927, base 2+sqrt(2927) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 78354!27-1 is prime! (107.8657s+0.0087s)(digits:12945) Marian Otremba 10/2013 Primality testing 83952!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 4703 Running N+1 test using discriminant 4751, base 1+sqrt(4751) Running N+1 test using discriminant 4751, base 2+sqrt(4751) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 83952!27-1 is prime! (170.4223s+0.0097s)(digits:13963) Marian Otremba 10/2013 Primality testing 85917!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3581 Running N+1 test using discriminant 3617, base 1+sqrt(3617) Running N+1 test using discriminant 3617, base 2+sqrt(3617) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.04% proof) 85917!27-1 is prime! (226.1263s+0.0101s)(digits:14322) Marian Otremba 10/2013 Primality testing 96591!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 4127 Running N+1 test using discriminant 4397, base 1+sqrt(4397) Running N+1 test using discriminant 4397, base 2+sqrt(4397) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.03% proof) 96591!27-1 is prime! (358.4711s+0.0121s)(digits:16283) Marian Otremba 10/2013 Primality testing 100940!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 4259, base 1+sqrt(4259) Running N+1 test using discriminant 4259, base 2+sqrt(4259) Calling N+1 BLS with factored part 100.00% and helper 0.03% (300.03% proof) 100940!27-1 is prime! (371.1391s+0.0123s)(digits:17087) Marian Otremba 10/2013 Primality testing 115673!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 4817, base 1+sqrt(4817) Running N+1 test using discriminant 4817, base 2+sqrt(4817) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.01% proof) 115673!27-1 is prime! (544.8028s+0.0163s)(digits:19834) Marian Otremba 10/2013 Primality testing 118173!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 4943 Running N+1 test using discriminant 5051, base 1+sqrt(5051) Running N+1 test using discriminant 5051, base 2+sqrt(5051) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 118173!27-1 is prime! (461.4875s+0.0167s)(digits:20303) Marian Otremba 10/2013 Primality testing 129284!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 4987 Running N+1 test using discriminant 5477, base 1+sqrt(5477) Running N+1 test using discriminant 5477, base 2+sqrt(5477) Calling N+1 BLS with factored part 100.00% and helper 0.05% (300.05% proof) 129284!27-1 is prime! (666.2671s+0.0200s)(digits:22399) Marian Otremba 10/2013 Primality testing 134907!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5827 Running N+1 test using discriminant 5881, base 1+sqrt(5881) Running N+1 test using discriminant 5881, base 2+sqrt(5881) Calling N+1 BLS with factored part 100.00% and helper 0.02% (300.02% proof) 134907!27-1 is prime! (550.6151s+0.0217s)(digits:23466) Marian Otremba 10/2013 Primality testing 137952!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7691 Running N+1 test using discriminant 7703, base 1+sqrt(7703) Running N+1 test using discriminant 7703, base 2+sqrt(7703) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 137952!27-1 is prime! (434.9166s+0.0225s)(digits:24045) Marian Otremba 10/2013 Primality testing 138879!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7717 Running N+1 test using discriminant 7741, base 1+sqrt(7741) Running N+1 test using discriminant 7741, base 2+sqrt(7741) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 138879!27-1 is prime! (439.5006s+0.0228s)(digits:24221) Marian Otremba 10/2013 Primality testing 140112!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7817 Running N+1 test using discriminant 7841, base 1+sqrt(7841) Running N+1 test using discriminant 7841, base 2+sqrt(7841) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 140112!27-1 is prime! (444.6325s+0.0235s)(digits:24456) Marian Otremba 10/2013 Primality testing 150258!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 6263 Running N+1 test using discriminant 6317, base 1+sqrt(6317) Running N+1 test using discriminant 6317, base 2+sqrt(6317) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 150258!27-1 is prime! (820.1748s+0.0274s)(digits:26396) Marian Otremba 10/2013 Primality testing 167093!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 6679, base 1+sqrt(6679) Running N+1 test using discriminant 6679, base 3+sqrt(6679) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 167093!27-1 is prime! (1148.5760s+0.0334s)(digits:29638) Marian Otremba 10/2013 Primality testing 208070!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 8447, base 1+sqrt(8447) Running N+1 test using discriminant 8447, base 2+sqrt(8447) Calling N+1 BLS with factored part 94.23% and helper 0.00% (282.68% proof) 208070!27-1 is prime! (858.1012s+0.0241s)(digits:37640) Marian Otremba 08/2014 Primality testing 209181!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 8807 Running N+1 test using discriminant 9041, base 1+sqrt(9041) Running N+1 test using discriminant 9041, base 2+sqrt(9041) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 209181!27-1 is prime! (696.3037s+0.0209s)(digits:37859) Marian Otremba 08/2014 Primality testing 209409!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 8803 Running N+1 test using discriminant 8893, base 1+sqrt(8893) Running N+1 test using discriminant 8893, base 2+sqrt(8893) Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 209409!27-1 is prime! (802.7734s+0.0240s)(digits:37904) Marian Otremba 08/2014 Primality testing 216831!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 9173 Running N+1 test using discriminant 9209, base 1+sqrt(9209) Running N+1 test using discriminant 9209, base 2+sqrt(9209) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 216831!27-1 is prime! (763.3060s+0.0226s)(digits:39369) Marian Otremba 08/2014 Primality testing 217895!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 8527, base 2+sqrt(8527) Running N+1 test using discriminant 8527, base 3+sqrt(8527) Calling N+1 BLS with factored part 94.53% and helper 0.00% (283.59% proof) 217895!27-1 is prime! (892.8152s+0.0383s)(digits:39579) Marian Otremba 08/2014 Primality testing 220496!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 8599, base 2+sqrt(8599) Running N+1 test using discriminant 8599, base 3+sqrt(8599) Calling N+1 BLS with factored part 94.37% and helper 0.00% (283.12% proof) 220496!27-1 is prime! (934.9934s+0.0261s)(digits:40094) Marian Otremba 08/2014 Primality testing 226208!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 9421, base 3+sqrt(9421) Running N+1 test using discriminant 9421, base 4+sqrt(9421) Calling N+1 BLS with factored part 94.49% and helper 0.01% (283.49% proof) 226208!27-1 is prime! (938.2964s+0.0458s)(digits:41225) Marian Otremba 08/2014 Primality testing 252180!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 9341 Running N+1 test using discriminant 9349, base 1+sqrt(9349) Running N+1 test using discriminant 9349, base 2+sqrt(9349) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 252180!27-1 is prime! (458.3365s+0.0315s)(digits:46399) Marian Otremba 08/2014 Primality testing 258045!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 10789 Running N+1 test using discriminant 10987, base 1+sqrt(10987) Running N+1 test using discriminant 10987, base 2+sqrt(10987) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 258045!27-1 is prime! (946.2700s+0.0400s)(digits:47574) Marian Otremba 08/2014 Primality testing 273234!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11621 Running N+1 test using discriminant 11657, base 1+sqrt(11657) Running N+1 test using discriminant 11657, base 2+sqrt(11657) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 273234!27-1 is prime! (1450.9893s+0.0368s)(digits:50625) Marian Otremba 08/2014 Primality testing 275595!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11491 Running N+1 test using discriminant 11617, base 1+sqrt(11617) Running N+1 test using discriminant 11617, base 2+sqrt(11617) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 275595!27-1 is prime! (1145.7382s+0.0390s)(digits:51101) Marian Otremba 08/2014 Primality testing 283272!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11839 Running N+1 test using discriminant 12073, base 1+sqrt(12073) Running N+1 test using discriminant 12073, base 2+sqrt(12073) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 283272!27-1 is prime! (1211.3767s+0.5373s)(digits:52649) Marian Otremba 08/2014 Primality testing 285084!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 15859 Running N+1 test using discriminant 15901, base 1+sqrt(15901) Running N+1 test using discriminant 15901, base 2+sqrt(15901) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 285084!27-1 is prime! (1072.2566s+0.0390s)(digits:53015) Marian Otremba 08/2014 Primality testing 295436!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11527, base 3+sqrt(11527) Running N+1 test using discriminant 11527, base 4+sqrt(11527) Calling N+1 BLS with factored part 95.05% and helper 0.00% (285.15% proof) 295436!27-1 is prime! (1171.1562s+0.0437s)(digits:55109) Marian Otremba 08/2014 Primality testing 306524!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11941, base 3+sqrt(11941) Running N+1 test using discriminant 11941, base 4+sqrt(11941) Calling N+1 BLS with factored part 95.08% and helper 0.00% (285.26% proof) 306524!27-1 is prime! (2170.0225s+0.0514s)(digits:57359) Marian Otremba 08/2014 Primality testing 343497!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 14543 Running N+1 test using discriminant 14561, base 1+sqrt(14561) Running N+1 test using discriminant 14561, base 2+sqrt(14561) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 343497!27-1 is prime! (1951.8647s+0.0541s)(digits:64907) Marian Otremba 08/2014 Primality testing 356145!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 15259 Running N+1 test using discriminant 15277, base 1+sqrt(15277) Running N+1 test using discriminant 15277, base 2+sqrt(15277) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 356145!27-1 is prime! (2722.8046s+0.0976s)(digits:67504) Marian Otremba 08/2014 Primality testing 371718!27-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 20747 Running N+1 test using discriminant 20753, base 1+sqrt(20753) Running N+1 test using discriminant 20753, base 2+sqrt(20753) Calling N+1 BLS with factored part 100.00% and helper 0.00% (300.00% proof) 371718!27-1 is prime! (1865.9109s+0.0849s)(digits:70711) Marian Otremba 08/2014 Primality testing 556284!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 23201, base 1+sqrt(23201) Calling Brillhart-Lehmer-Selfridge with factored part 33.79% 556284!27-1 is prime! (1319.0803s+0.5142s)(digits:109427) Marian Otremba 09/2022 Primality testing 608964!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 25423, base 1+sqrt(25423) Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 608964!27-1 is prime! (1134.1032s+0.5629s)(digits:120675) Marian Otremba 09/2022 Primality testing 620637!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 25951, base 1+sqrt(25951) Calling Brillhart-Lehmer-Selfridge with factored part 33.49% 620637!27-1 is prime! (1145.4444s+0.3798s)(digits:123178) Marian Otremba 09/2022 Primality testing 644949!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 23909, base 1+sqrt(23909) Calling Brillhart-Lehmer-Selfridge with factored part 36.66% 644949!27-1 is prime! (1454.3487s+0.4145s)(digits:128401) Marian Otremba 09/2022 Primality testing 757746!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 42157, base 1+sqrt(42157) Calling Brillhart-Lehmer-Selfridge with factored part 33.88% 757746!27-1 is prime! (1807.1871s+0.3783s)(digits:152822) Marian Otremba 10/2022 Primality testing 775434!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 32429, base 1+sqrt(32429) Calling Brillhart-Lehmer-Selfridge with factored part 33.46% 775434!27-1 is prime! (2800.5838s+0.4115s)(digits:156677) Marian Otremba 10/2022 Primality testing 788436!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 43913, base 1+sqrt(43913) Calling Brillhart-Lehmer-Selfridge with factored part 33.77% 788436!27-1 is prime! (2332.1403s+0.4596s)(digits:159515) Marian Otremba 10/2022 Primality testing 799745!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.45% 799745!27-1 is prime! (2428.4543s+0.5223s)(digits:161986) Marian Otremba 10/2022 Primality testing 810165!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 33857, base 1+sqrt(33857) Calling Brillhart-Lehmer-Selfridge with factored part 33.35% 810165!27-1 is prime! (2554.2720s+0.4340s)(digits:164265) Marian Otremba 10/2022 Primality testing 849368!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.51% 849368!27-1 is prime! (2595.2370s+0.5093s)(digits:172859) Marian Otremba 10/2022 Primality testing 911646!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 50671, base 1+sqrt(50671) Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 911646!27-1 is prime! (4231.7289s+0.6577s)(digits:186571) Marian Otremba 10/2022 Primality testing 923187!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 38501, base 1+sqrt(38501) Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 923187!27-1 is prime! (4306.0682s+0.5986s)(digits:189120) Marian Otremba 10/2022 Primality testing 976292!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.35% 976292!27-1 is prime! (4024.2151s+0.6818s)(digits:200877) Marian Otremba 10/2022 Primality testing 976467!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 40739, base 1+sqrt(40739) Calling Brillhart-Lehmer-Selfridge with factored part 33.39% 976467!27-1 is prime! (5117.5701s+0.6833s)(digits:200916) Marian Otremba 10/2022 Primality testing 1011135!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 42179, base 1+sqrt(42179) Calling Brillhart-Lehmer-Selfridge with factored part 33.80% 1011135!27-1 is prime! (4431.6316s+0.6900s)(digits:208616) Marian Otremba 10/2022 Primality testing 1050354!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 38917, base 1+sqrt(38917) Calling Brillhart-Lehmer-Selfridge with factored part 35.27% 1050354!27-1 is prime! (4568.9996s+0.7597s)(digits:217350) Marian Otremba 10/2022 Primality testing 1054455!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 44029, base 1+sqrt(44029) Calling Brillhart-Lehmer-Selfridge with factored part 33.69% 1054455!27-1 is prime! (5491.4160s+0.7594s)(digits:218265) Marian Otremba 10/2022 Primality testing 1090251!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 60601, base 1+sqrt(60601) Calling Brillhart-Lehmer-Selfridge with factored part 34.19% 1090251!27-1 is prime! (7633.3335s+0.8370s)(digits:226260) Marian Otremba 10/2022 Primality testing 1166862!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 48761, base 1+sqrt(48761) Calling Brillhart-Lehmer-Selfridge with factored part 33.43% 1166862!27-1 is prime! (6545.6856s+0.9911s)(digits:243434) Marian Otremba 11/2022 Primality testing 1173762!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 65239, base 1+sqrt(65239) Calling Brillhart-Lehmer-Selfridge with factored part 33.99% 1173762!27-1 is prime! (6478.4708s+1.0359s)(digits:244984) Marian Otremba 11/2022 Primality testing 1219116!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 50891, base 1+sqrt(50891) Calling Brillhart-Lehmer-Selfridge with factored part 33.78% 1219116!27-1 is prime! (6066.7398s+1.0874s)(digits:255194) Marian Otremba 11/2022 Primality testing 1327811!27-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 33.34% 1327811!27-1 is prime! (5287.7915s+1.0963s)(digits:279771) Marian Otremba 11/2022