10!8-1 trivially factors prime!: 19 (digits:2) 12!8-1 trivially factors prime!: 47 (digits:2) 14!8-1 trivially factors prime!: 83 (digits:2) 16!8-1 trivially factors prime!: 127 (digits:3) 18!8-1 trivially factors prime!: 359 (digits:3) 22!8-1 trivially factors prime!: 1847 (digits:4) 28!8-1 trivially factors prime!: 26879 (digits:5) 30!8-1 trivially factors prime!: 55439 (digits:5) 42!8-1 trivially factors prime!: 13366079 (digits:8) 48!8-1 trivially factors prime!: 188743679 (digits:9) Primality testing 58!8-1 [N+1, BLS] 58!8-1 is prime! (0.000000 seconds) (digits:11) Primality testing 68!8-1 [N+1, BLS] 68!8-1 is prime! (0.000000 seconds) (digits:13) Primality testing 80!8-1 [N+1, BLS] 80!8-1 is prime! (0.015000 seconds) (digits:16) Primality testing 86!8-1 [N+1, BLS] 86!8-1 is prime! (0.016000 seconds) (digits:18) Primality testing 92!8-1 [N+1, BLS] 92!8-1 is prime! (0.000000 seconds) (digits:19) Primality testing 108!8-1 [N+1, BLS] 108!8-1 is prime! (0.016000 seconds) (digits:23) Primality testing 110!8-1 [N+1, BLS] 110!8-1 is prime! (0.015000 seconds) (digits:24) Primality testing 112!8-1 [N+1, BLS] 112!8-1 is prime! (0.016000 seconds) (digits:24) Primality testing 130!8-1 [N+1, BLS] 130!8-1 is prime! (0.015000 seconds) (digits:29) Primality testing 198!8-1 [N+1, BLS] 198!8-1 is prime! (0.000000 seconds) (digits:48) Primality testing 220!8-1 [N+1, BLS] 220!8-1 is prime! (0.015000 seconds) (digits:54) Primality testing 230!8-1 [N+1, BLS] 230!8-1 is prime! (0.016000 seconds) (digits:57) Primality testing 322!8-1 [N+1, BLS] 322!8-1 is prime! (0.016000 seconds) (digits:85) Primality testing 432!8-1 [N+1, BLS] 432!8-1 is prime! (0.031000 seconds) (digits:121) Primality testing 460!8-1 [N+1, BLS] 460!8-1 is prime! (0.032000 seconds) (digits:130) Primality testing 478!8-1 [N+1, BLS] 478!8-1 is prime! (0.046000 seconds) (digits:136) Primality testing 686!8-1 [N+1, BLS] 686!8-1 is prime! (0.047000 seconds) (digits:208) Primality testing 706!8-1 [N+1, BLS] 706!8-1 is prime! (0.047000 seconds) (digits:215) Primality testing 714!8-1 [N+1, BLS] 714!8-1 is prime! (0.094000 seconds) (digits:218) Primality testing 842!8-1 [N+1, BLS] 842!8-1 is prime! (0.125000 seconds) (digits:264) Primality testing 950!8-1 [N+1, BLS] 950!8-1 is prime! (0.157000 seconds) (digits:304) Primality testing 1010!8-1 [N+1, BLS] 1010!8-1 is prime! (0.110000 seconds) (digits:327) Primality testing 1090!8-1 [N-1/N+1, BLS] Running N-1 test using base 211 Running N+1 test using discriminant 227, base 1+sqrt(227) Running N+1 test using discriminant 227, base 3+sqrt(227) 1090!8-1 is prime! (0.0707s+0.0010s)(digits:357) Primality testing 1090!8-1 [N-1/N+1, BLS] Running N-1 test using base 211 Running N+1 test using discriminant 227, base 1+sqrt(227) Running N+1 test using discriminant 227, base 3+sqrt(227) 1090!8-1 is prime! (0.0387s+0.0013s)(digits:357) Primality testing 1314!8-1 [N+1, BLS] 1314!8-1 is prime! (0.360000 seconds) (digits:443) Primality testing 1904!8-1 [N+1, BLS] 1904!8-1 is prime! (0.422000 seconds) (digits:679) Primality testing 2264!8-1 [N-1/N+1, BLS] Running N-1 test using base 311 Running N+1 test using discriminant 317, base 1+sqrt(317) Running N+1 test using discriminant 317, base 3+sqrt(317) 2264!8-1 is prime! (0.1329s+0.0010s)(digits:829) Primality testing 2804!8-1 [N-1/N+1, BLS] Running N-1 test using base 727 Running N+1 test using discriminant 751, base 1+sqrt(751) Running N+1 test using discriminant 751, base 2+sqrt(751) 2804!8-1 is prime! (0.2997s+0.0010s)(digits:1059) Primality testing 3164!8-1 [N-1/N+1, BLS] Running N-1 test using base 809 Running N+1 test using discriminant 821, base 1+sqrt(821) Running N+1 test using discriminant 821, base 2+sqrt(821) 3164!8-1 is prime! (0.2820s+0.0011s)(digits:1215) Primality testing 3324!8-1 [N-1/N+1, BLS] Running N-1 test using base 839 Running N+1 test using discriminant 859, base 1+sqrt(859) Running N+1 test using discriminant 859, base 2+sqrt(859) 3324!8-1 is prime! (0.3456s+0.0011s)(digits:1285) Primality testing 4740!8-1 [N-1/N+1, BLS] Running N-1 test using base 1187 Running N+1 test using discriminant 1213, base 1+sqrt(1213) Running N+1 test using discriminant 1213, base 2+sqrt(1213) 4740!8-1 is prime! (0.6728s+0.0011s)(digits:1923) Primality testing 4824!8-1 [N+1, BLS] 4824!8-1 is prime! (3.766000 seconds) (digits:1962) Primality testing 4918!8-1 [N+1, BLS] 4918!8-1 is prime! (8.828000 seconds) (digits:2005) Primality testing 5086!8-1 [N+1, BLS] 5086!8-1 is prime! (9.125000 seconds) (digits:2083) Primality testing 5086!8-1 [N+1, BLS] 5086!8-1 is prime! (9.093000 seconds) (digits:2083) Primality testing 5442!8-1 [N-1/N+1, BLS] Running N-1 test using base 947 Running N+1 test using discriminant 967, base 1+sqrt(967) Running N+1 test using discriminant 967, base 2+sqrt(967) 5442!8-1 is prime! (1.1716s+0.0011s)(digits:2248) Primality testing 6994!8-1 [N+1, BLS] 6994!8-1 is prime! (32.016000 seconds) (digits:2984) Primality testing 7898!8-1 [N+1, BLS] 7898!8-1 is prime! (104.620000 seconds) (digits:3422) Primality testing 8236!8-1 [N+1, BLS] 8236!8-1 is prime! (103.308000 seconds) (digits:3587) Primality testing 8684!8-1 [N+1, BLS] 8684!8-1 is prime! (52.205000 seconds) (digits:3807) Primality testing 10088!8-1 [N+1, BLS] 10088!8-1 is prime! (72.214000 seconds) (digits:4504) Primality testing 13990!8-1 [N+1, BLS] 13990!8-1 is prime! (318.728000 seconds) (digits:6493) Primality testing 15320!8-1 [N+1, BLS] 15320!8-1 is prime! (222.781000 seconds) (digits:7186) Primality testing 17570!8-1 [N+1, BLS] 17570!8-1 is prime! (296.015000 seconds) (digits:8371) Bouk de Water p12 11/1999 Primality testing 18218!8-1 [N+1, BLS] 18218!8-1 is prime! (369.001000 seconds) (digits:8716) Bouk de Water p12 11/1999 Primality testing 21564!8-1 [N+1, BLS] 21564!8-1 is prime! (345.234000 seconds) (digits:10514) Ken Davis 05/2003 Primality testing 22198!8-1 [N+1, BLS] 22198!8-1 is prime! (573.078000 seconds) (digits:10858) Ken Davis 05/2003 Primality testing 22684!8-1 [N+1, BLS] 22684!8-1 is prime! (553.140000 seconds) (digits:11122) Ken Davis 05/2003 Primality testing 24314!8-1 [N+1, BLS] 24314!8-1 is prime! (340.4165s+0.0074s) (digits:12013) Kimmo Herranen 09/2003 Primality testing 24780!8-1 [N+1, BLS] 24780!8-1 is prime! (155.9410s+0.0152s) (digits:12268) Kimmo Herranen 09/2003 Primality testing 25790!8-1 [N+1, BLS] 25790!8-1 is prime! (316.1565s+0.0155s) (digits:12824) Kimmo Herranen 09/2003 Primality testing 38726!8-1 [N+1, BLS] 38726!8-1 is prime! (765.1119s+0.0150s) (digits:20110) Kimmo Herranen 02/2004 Primality testing 57412!8-1 [N+1, BLS] 57412!8-1 is prime! (2782.4138s+0.0520s) (digits:31039) Kimmo Herranen 02/2004 Primality testing 66818!8-1 [N+1, BLS] 66818!8-1 is prime! (1829.2282s+0.0525s) (digits:36674) Kimmo Herranen 02/2004 Primality testing 67354!8-1 [N+1, BLS] 67354!8-1 is prime! (1418.4284s+0.0745s) (digits:36998) Kimmo Herranen 02/2004 Primality testing 67472!8-1 [N+1, BLS] 67472!8-1 is prime! (1419.1528s+0.0534s) (digits:37069) Kimmo Herranen 02/2004 Primality testing 94566!8-1 [N+1, BLS] 94566!8-1 is prime! (4009.8382s+0.0865s) (digits:53686) Kimmo Herranen p125 03/2004 Primality testing 96252!8-1 [N+1, BLS] 96252!8-1 is prime! (3890.0845s+0.0771s) (digits:54736) Kimmo Herranen p125 03/2004 Primality testing 97290!8-1 [N-1/N+1, BLS] Running N-1 test using base 16223 Running N+1 test using discriminant 16231, base 1+sqrt(16231) Running N+1 test using discriminant 16231, base 2+sqrt(16231) 97290!8-1 is prime! (949.5179s+0.0423s)(digits:55383) Mark Rodenkirch 11/2016 Primality testing 141546!8-1 [N-1/N+1, BLS] Running N-1 test using base 23623 Running N+1 test using discriminant 23663, base 1+sqrt(23663) Running N+1 test using discriminant 23663, base 2+sqrt(23663) 141546!8-1 is prime! (3336.7139s+0.5902s)(digits:83455) MO 07/2014 Primality testing 164394!8-1 [N-1/N+1, BLS] Running N-1 test using base 27427 Running N+1 test using discriminant 27487, base 1+sqrt(27487) Running N+1 test using discriminant 27487, base 2+sqrt(27487) 164394!8-1 is prime! (3480.2349s+0.1581s)(digits:98261) MO 07/2014 Primality testing 176668!8-1 [N-1/N+1, BLS] Running N-1 test using base 44179 Running N+1 test using discriminant 44201, base 1+sqrt(44201) Running N+1 test using discriminant 44201, base 2+sqrt(44201) 176668!8-1 is prime! (3524.5456s+0.1548s)(digits:106288) Mark Rodenkirch 11/2016 Primality testing 242438!8-1 [N+1, BLS] Running N+1 test using discriminant 40429, base 1+sqrt(40429) 242438!8-1 is prime! (3201.3788s+0.5687s)(digits:150021) MO 12/2020 Primality testing 244214!8-1 [N+1, BLS] Running N+1 test using discriminant 40829, base 1+sqrt(40829) 244214!8-1 is prime! (3145.4258s+0.5746s)(digits:151217) MO 12/2020 Primality testing 253554!8-1 [N+1, BLS] Running N+1 test using discriminant 42299, base 1+sqrt(42299) 253554!8-1 is prime! (3497.9495s+1.1237s)(digits:157517) MO 12/2020 Primality testing 257324!8-1 [N+1, BLS] Running N+1 test using discriminant 64333, base 1+sqrt(64333) 257324!8-1 is prime! (2850.9527s+0.6507s)(digits:160065) MO 12/2020 Primality testing 278348!8-1 [N+1, BLS] Running N+1 test using discriminant 69677, base 1+sqrt(69677) 278348!8-1 is prime! (2030.8678s+0.5799s)(digits:174329) MO 12/2020