27!23-1 trivially factors prime!: 107 (digits:3) 28!23-1 trivially factors prime!: 139 (digits:3) 29!23-1 trivially factors prime!: 173 (digits:3) 34!23-1 trivially factors prime!: 373 (digits:3) 35!23-1 trivially factors prime!: 419 (digits:3) 36!23-1 trivially factors prime!: 467 (digits:3) 38!23-1 trivially factors prime!: 569 (digits:3) 42!23-1 trivially factors prime!: 797 (digits:3) 43!23-1 trivially factors prime!: 859 (digits:3) 48!23-1 trivially factors prime!: 2399 (digits:4) 49!23-1 trivially factors prime!: 3821 (digits:4) 50!23-1 trivially factors prime!: 5399 (digits:4) 57!23-1 trivially factors prime!: 21317 (digits:5) 58!23-1 trivially factors prime!: 24359 (digits:5) 59!23-1 trivially factors prime!: 27611 (digits:5) 60!23-1 trivially factors prime!: 31079 (digits:5) 63!23-1 trivially factors prime!: 42839 (digits:5) 65!23-1 trivially factors prime!: 51869 (digits:5) 72!23-1 trivially factors prime!: 275183 (digits:6) 75!23-1 trivially factors prime!: 678599 (digits:6) 76!23-1 trivially factors prime!: 845879 (digits:6) 82!23-1 trivially factors prime!: 2264183 (digits:7) 85!23-1 trivially factors prime!: 3288479 (digits:7) 88!23-1 trivially factors prime!: 4564559 (digits:7) 96!23-1 trivially factors prime!: 37843199 (digits:8) 100!23-1 trivially factors prime!: 103118399 (digits:9) 101!23-1 trivially factors prime!: 124787519 (digits:9) 104!23-1 trivially factors prime!: 205208639 (digits:9) 108!23-1 trivially factors prime!: 355155839 (digits:9) 110!23-1 trivially factors prime!: 452010239 (digits:9) 111!23-1 trivially factors prime!: 506666159 (digits:9) 114!23-1 trivially factors prime!: 698377679 (digits:9) 115!23-1 trivially factors prime!: 772361159 (digits:9) Primality testing 121!23-1 [N+1, BLS] 121!23-1 is prime! (0.047000 seconds) (digits:10) Primality testing 122!23-1 [N+1, BLS] 122!23-1 is prime! (0.000000 seconds) (digits:11) Primality testing 126!23-1 [N+1, BLS] 126!23-1 is prime! (0.000000 seconds) (digits:11) Primality testing 130!23-1 [N+1, BLS] 130!23-1 is prime! (0.000000 seconds) (digits:11) Primality testing 134!23-1 [N+1, BLS] 134!23-1 is prime! (0.016000 seconds) (digits:11) Primality testing 138!23-1 [N+1, BLS] 138!23-1 is prime! (0.000000 seconds) (digits:12) Primality testing 143!23-1 [N+1, BLS] 143!23-1 is prime! (0.000000 seconds) (digits:12) Primality testing 145!23-1 [N+1, BLS] 145!23-1 is prime! (0.000000 seconds) (digits:13) Primality testing 155!23-1 [N+1, BLS] 155!23-1 is prime! (0.000000 seconds) (digits:13) Primality testing 164!23-1 [N+1, BLS] 164!23-1 is prime! (0.016000 seconds) (digits:14) Primality testing 175!23-1 [N+1, BLS] 175!23-1 is prime! (0.015000 seconds) (digits:15) Primality testing 187!23-1 [N+1, BLS] 187!23-1 is prime! (0.016000 seconds) (digits:17) Primality testing 191!23-1 [N+1, BLS] 191!23-1 is prime! (0.000000 seconds) (digits:17) Primality testing 193!23-1 [N+1, BLS] 193!23-1 is prime! (0.016000 seconds) (digits:17) Primality testing 206!23-1 [N+1, BLS] 206!23-1 is prime! (0.015000 seconds) (digits:18) Primality testing 212!23-1 [N+1, BLS] 212!23-1 is prime! (0.000000 seconds) (digits:19) Primality testing 218!23-1 [N+1, BLS] 218!23-1 is prime! (0.000000 seconds) (digits:20) Primality testing 225!23-1 [N+1, BLS] 225!23-1 is prime! (0.016000 seconds) (digits:20) Primality testing 257!23-1 [N+1, BLS] 257!23-1 is prime! (0.015000 seconds) (digits:24) Primality testing 262!23-1 [N+1, BLS] 262!23-1 is prime! (0.016000 seconds) (digits:25) Primality testing 270!23-1 [N+1, BLS] 270!23-1 is prime! (0.000000 seconds) (digits:25) Primality testing 278!23-1 [N+1, BLS] 278!23-1 is prime! (0.016000 seconds) (digits:26) Primality testing 322!23-1 [N+1, BLS] 322!23-1 is prime! (0.015000 seconds) (digits:31) Primality testing 335!23-1 [N+1, BLS] 335!23-1 is prime! (0.000000 seconds) (digits:32) Primality testing 345!23-1 [N+1, BLS] 345!23-1 is prime! (0.000000 seconds) (digits:33) Primality testing 365!23-1 [N+1, BLS] 365!23-1 is prime! (0.016000 seconds) (digits:35) Primality testing 385!23-1 [N+1, BLS] 385!23-1 is prime! (0.016000 seconds) (digits:38) Primality testing 390!23-1 [N+1, BLS] 390!23-1 is prime! (0.015000 seconds) (digits:38) Primality testing 409!23-1 [N+1, BLS] 409!23-1 is prime! (0.016000 seconds) (digits:40) Primality testing 416!23-1 [N+1, BLS] 416!23-1 is prime! (0.016000 seconds) (digits:41) Primality testing 428!23-1 [N+1, BLS] 428!23-1 is prime! (0.016000 seconds) (digits:43) Primality testing 453!23-1 [N-1/N+1, BLS] Running N-1 test using base 47 Running N+1 test using discriminant 67, base 1+sqrt(67) Running N+1 test using discriminant 67, base 2+sqrt(67) 453!23-1 is prime! (0.0596s+0.0011s)(digits:46) Primality testing 453!23-1 [N+1, BLS] Primality testing 455!23-1 [N+1, BLS] 455!23-1 is prime! (0.016000 seconds) (digits:46) Primality testing 479!23-1 [N+1, BLS] 479!23-1 is prime! (0.016000 seconds) (digits:49) Primality testing 511!23-1 [N+1, BLS] 511!23-1 is prime! (0.015000 seconds) (digits:53) Primality testing 547!23-1 [N+1, BLS] 547!23-1 is prime! (0.016000 seconds) (digits:57) Primality testing 596!23-1 [N+1, BLS] 596!23-1 is prime! (0.015000 seconds) (digits:62) Primality testing 624!23-1 [N+1, BLS] 624!23-1 is prime! (0.000000 seconds) (digits:66) Primality testing 651!23-1 [N+1, BLS] 651!23-1 is prime! (0.015000 seconds) (digits:69) Primality testing 659!23-1 [N+1, BLS] 659!23-1 is prime! (0.015000 seconds) (digits:70) Primality testing 673!23-1 [N+1, BLS] 673!23-1 is prime! (0.032000 seconds) (digits:72) Primality testing 743!23-1 [N+1, BLS] 743!23-1 is prime! (0.031000 seconds) (digits:81) Primality testing 817!23-1 [N+1, BLS] 817!23-1 is prime! (0.031000 seconds) (digits:90) Primality testing 841!23-1 [N+1, BLS] 841!23-1 is prime! (0.015000 seconds) (digits:93) Primality testing 869!23-1 [N+1, BLS] 869!23-1 is prime! (0.031000 seconds) (digits:97) Primality testing 895!23-1 [N+1, BLS] 895!23-1 is prime! (0.063000 seconds) (digits:100) Primality testing 914!23-1 [N+1, BLS] 914!23-1 is prime! (0.016000 seconds) (digits:102) Primality testing 940!23-1 [N+1, BLS] 940!23-1 is prime! (0.031000 seconds) (digits:106) Primality testing 1106!23-1 [N+1, BLS] 1106!23-1 is prime! (0.047000 seconds) (digits:127) Primality testing 1117!23-1 [N+1, BLS] 1117!23-1 is prime! (0.016000 seconds) (digits:129) Primality testing 1147!23-1 [N+1, BLS] 1147!23-1 is prime! (0.031000 seconds) (digits:133) Primality testing 1199!23-1 [N+1, BLS] 1199!23-1 is prime! (0.046000 seconds) (digits:140) Primality testing 1234!23-1 [N+1, BLS] 1234!23-1 is prime! (0.047000 seconds) (digits:145) Primality testing 1253!23-1 [N+1, BLS] 1253!23-1 is prime! (0.016000 seconds) (digits:147) Primality testing 1272!23-1 [N+1, BLS] 1272!23-1 is prime! (0.094000 seconds) (digits:150) Primality testing 1280!23-1 [N+1, BLS] 1280!23-1 is prime! (0.094000 seconds) (digits:151) Primality testing 1290!23-1 [N+1, BLS] 1290!23-1 is prime! (0.047000 seconds) (digits:152) Primality testing 1366!23-1 [N+1, BLS] 1366!23-1 is prime! (0.078000 seconds) (digits:163) Primality testing 1454!23-1 [N+1, BLS] 1454!23-1 is prime! (0.125000 seconds) (digits:175) Primality testing 1692!23-1 [N+1, BLS] 1692!23-1 is prime! (0.046000 seconds) (digits:208) Primality testing 1939!23-1 [N+1, BLS] 1939!23-1 is prime! (0.110000 seconds) (digits:243) Primality testing 1957!23-1 [N+1, BLS] 1957!23-1 is prime! (0.047000 seconds) (digits:245) Primality testing 2083!23-1 [N+1, BLS] 2083!23-1 is prime! (0.187000 seconds) (digits:263) Primality testing 2359!23-1 [N+1, BLS] 2359!23-1 is prime! (0.079000 seconds) (digits:304) Primality testing 2399!23-1 [N+1, BLS] 2399!23-1 is prime! (0.140000 seconds) (digits:310) Primality testing 2400!23-1 [N+1, BLS] 2400!23-1 is prime! (0.063000 seconds) (digits:310) Primality testing 2404!23-1 [N+1, BLS] 2404!23-1 is prime! (0.125000 seconds) (digits:310) Primality testing 2417!23-1 [N+1, BLS] 2417!23-1 is prime! (0.125000 seconds) (digits:312) Primality testing 2456!23-1 [N+1, BLS] 2456!23-1 is prime! (0.187000 seconds) (digits:318) Primality testing 2477!23-1 [N+1, BLS] 2477!23-1 is prime! (0.281000 seconds) (digits:321) Primality testing 2542!23-1 [N+1, BLS] 2542!23-1 is prime! (0.203000 seconds) (digits:331) Primality testing 2635!23-1 [N+1, BLS] 2635!23-1 is prime! (0.078000 seconds) (digits:344) Primality testing 2871!23-1 [N+1, BLS] 2871!23-1 is prime! (0.109000 seconds) (digits:380) Primality testing 2913!23-1 [N+1, BLS] 2913!23-1 is prime! (0.110000 seconds) (digits:386) Primality testing 3058!23-1 [N+1, BLS] 3058!23-1 is prime! (0.265000 seconds) (digits:408) Primality testing 3062!23-1 [N+1, BLS] 3062!23-1 is prime! (0.219000 seconds) (digits:409) Primality testing 3151!23-1 [N+1, BLS] 3151!23-1 is prime! (0.141000 seconds) (digits:422) Primality testing 3235!23-1 [N+1, BLS] 3235!23-1 is prime! (0.437000 seconds) (digits:435) Primality testing 3614!23-1 [N+1, BLS] 3614!23-1 is prime! (0.219000 seconds) (digits:493) Primality testing 3710!23-1 [N+1, BLS] 3710!23-1 is prime! (0.437000 seconds) (digits:508) Primality testing 3950!23-1 [N+1, BLS] 3950!23-1 is prime! (0.375000 seconds) (digits:545) Primality testing 3996!23-1 [N+1, BLS] 3996!23-1 is prime! (1.031000 seconds) (digits:553) Primality testing 4105!23-1 [N+1, BLS] 4105!23-1 is prime! (0.531000 seconds) (digits:570) Primality testing 4270!23-1 [N+1, BLS] 4270!23-1 is prime! (0.672000 seconds) (digits:596) Primality testing 4832!23-1 [N+1, BLS] 4832!23-1 is prime! (0.359000 seconds) (digits:685) Primality testing 4980!23-1 [N+1, BLS] 4980!23-1 is prime! (1.047000 seconds) (digits:709) Primality testing 5182!23-1 [N+1, BLS] 5182!23-1 is prime! (0.782000 seconds) (digits:742) Primality testing 5188!23-1 [N+1, BLS] 5188!23-1 is prime! (0.531000 seconds) (digits:742) Primality testing 5322!23-1 [N+1, BLS] 5322!23-1 is prime! (0.422000 seconds) (digits:764) Primality testing 6017!23-1 [N+1, BLS] 6017!23-1 is prime! (1.093000 seconds) (digits:878) Primality testing 6072!23-1 [N+1, BLS] 6072!23-1 is prime! (0.750000 seconds) (digits:886) Primality testing 6391!23-1 [N+1, BLS] 6391!23-1 is prime! (0.625000 seconds) (digits:939) Primality testing 6529!23-1 [N+1, BLS] 6529!23-1 is prime! (1.672000 seconds) (digits:962) Primality testing 7009!23-1 [N+1, BLS] 7009!23-1 is prime! (1.344000 seconds) (digits:1042) Primality testing 7126!23-1 [N+1, BLS] 7126!23-1 is prime! (2.156000 seconds) (digits:1061) Primality testing 7428!23-1 [N+1, BLS] 7428!23-1 is prime! (3.453000 seconds) (digits:1112) Primality testing 7435!23-1 [N+1, BLS] 7435!23-1 is prime! (1.688000 seconds) (digits:1114) Primality testing 7916!23-1 [N+1, BLS] 7916!23-1 is prime! (5.656000 seconds) (digits:1195) Primality testing 7917!23-1 [N+1, BLS] 7917!23-1 is prime! (1.875000 seconds) (digits:1195) Primality testing 9004!23-1 [N+1, BLS] 9004!23-1 is prime! (3.813000 seconds) (digits:1381) Primality testing 9037!23-1 [N+1, BLS] 9037!23-1 is prime! (5.703000 seconds) (digits:1386) Primality testing 9235!23-1 [N+1, BLS] 9235!23-1 is prime! (1.578000 seconds) (digits:1420) Primality testing 9374!23-1 [N+1, BLS] 9374!23-1 is prime! (1.672000 seconds) (digits:1444) Primality testing 9403!23-1 [N+1, BLS] 9403!23-1 is prime! (4.703000 seconds) (digits:1449) Primality testing 9493!23-1 [N+1, BLS] 9493!23-1 is prime! (2.250000 seconds) (digits:1465) Primality testing 9990!23-1 [N+1, BLS] 9990!23-1 is prime! (1.766000 seconds) (digits:1551) Primality testing 10243!23-1 [N+1, BLS] 10243!23-1 is prime! (3.609000 seconds) (digits:1595) Primality testing 10265!23-1 [N+1, BLS] 10265!23-1 is prime! (7.063000 seconds) (digits:1599) Primality testing 11789!23-1 [N+1, BLS] 11789!23-1 is prime! (5.578000 seconds) (digits:1867) Primality testing 12241!23-1 [N+1, BLS] 12241!23-1 is prime! (4.063000 seconds) (digits:1947) Primality testing 12862!23-1 [N+1, BLS] 12862!23-1 is prime! (6.719000 seconds) (digits:2058) Primality testing 12995!23-1 [N+1, BLS] 12995!23-1 is prime! (4.609000 seconds) (digits:2081) Primality testing 13414!23-1 [N+1, BLS] 13414!23-1 is prime! (10.641000 seconds) (digits:2157) Primality testing 13620!23-1 [N+1, BLS] 13620!23-1 is prime! (10.797000 seconds) (digits:2194) Primality testing 15106!23-1 [N+1, BLS] 15106!23-1 is prime! (13.515000 seconds) (digits:2462) Primality testing 15521!23-1 [N+1, BLS] 15521!23-1 is prime! (17.250000 seconds) (digits:2538) Primality testing 15833!23-1 [N+1, BLS] 15833!23-1 is prime! (24.781000 seconds) (digits:2595) Primality testing 15993!23-1 [N+1, BLS] 15993!23-1 is prime! (16.954000 seconds) (digits:2624) Primality testing 16084!23-1 [N+1, BLS] 16084!23-1 is prime! (8.781000 seconds) (digits:2641) Primality testing 16271!23-1 [N+1, BLS] 16271!23-1 is prime! (17.687000 seconds) (digits:2675) Primality testing 16359!23-1 [N+1, BLS] 16359!23-1 is prime! (18.016000 seconds) (digits:2691) Primality testing 16862!23-1 [N+1, BLS] 16862!23-1 is prime! (9.266000 seconds) (digits:2783) Primality testing 17139!23-1 [N+1, BLS] 17139!23-1 is prime! (21.703000 seconds) (digits:2834) Primality testing 17684!23-1 [N+1, BLS] 17684!23-1 is prime! (10.391000 seconds) (digits:2934) Primality testing 18860!23-1 [N+1, BLS] 18860!23-1 is prime! (11.593000 seconds) (digits:3152) Primality testing 19304!23-1 [N+1, BLS] 19304!23-1 is prime! (18.641000 seconds) (digits:3235) Primality testing 20154!23-1 [N+1, BLS] 20154!23-1 is prime! (30.375000 seconds) (digits:3394) Primality testing 20629!23-1 [N+1, BLS] 20629!23-1 is prime! (44.782000 seconds) (digits:3483) Primality testing 21442!23-1 [N+1, BLS] 21442!23-1 is prime! (16.718000 seconds) (digits:3636) Primality testing 22113!23-1 [N+1, BLS] 22113!23-1 is prime! (13.141000 seconds) (digits:3762) Primality testing 22175!23-1 [N+1, BLS] 22175!23-1 is prime! (33.453000 seconds) (digits:3774) Primality testing 22641!23-1 [N+1, BLS] 22641!23-1 is prime! (28.547000 seconds) (digits:3862) Primality testing 22785!23-1 [N+1, BLS] 22785!23-1 is prime! (42.156000 seconds) (digits:3889) Primality testing 23630!23-1 [N+1, BLS] 23630!23-1 is prime! (60.312000 seconds) (digits:4050) Primality testing 23664!23-1 [N+1, BLS] 23664!23-1 is prime! (15.875000 seconds) (digits:4056) Primality testing 23929!23-1 [N+1, BLS] 23929!23-1 is prime! (31.031000 seconds) (digits:4107) Primality testing 25523!23-1 [N+1, BLS] 25523!23-1 is prime! (37.532000 seconds) (digits:4411) Primality testing 25824!23-1 [N+1, BLS] 25824!23-1 is prime! (49.953000 seconds) (digits:4469) Primality testing 25953!23-1 [N+1, BLS] 25953!23-1 is prime! (54.500000 seconds) (digits:4494) Primality testing 27995!23-1 [N+1, BLS] 27995!23-1 is prime! (22.297000 seconds) (digits:4887) Primality testing 30609!23-1 [N+1, BLS] 30609!23-1 is prime! (78.078000 seconds) (digits:5395) Primality testing 34819!23-1 [N+1, BLS] 34819!23-1 is prime! (42.771000 seconds) (digits:6221) Primality testing 35060!23-1 [N+1, BLS] 35060!23-1 is prime! (57.633000 seconds) (digits:6269) Primality testing 37309!23-1 [N+1, BLS] 37309!23-1 is prime! (65.534000 seconds) (digits:6714) Primality testing 38061!23-1 [N+1, BLS] 38061!23-1 is prime! (175.492000 seconds) (digits:6864) Primality testing 43488!23-1 [N+1, BLS] 43488!23-1 is prime! (153.640000 seconds) (digits:7952) Primality testing 44200!23-1 [N+1, BLS] 44200!23-1 is prime! (338.968000 seconds) (digits:8095) Primality testing 48900!23-1 [N+1, BLS] 48900!23-1 is prime! (288.435000 seconds) (digits:9049) Primality testing 50724!23-1 [N+1, BLS] 50724!23-1 is prime! (222.810000 seconds) (digits:9422) Primality testing 51036!23-1 [N+1, BLS] 51036!23-1 is prime! (154.953000 seconds) (digits:9486) Primality testing 51156!23-1 [N+1, BLS] 51156!23-1 is prime! (312.439000 seconds) (digits:9510) Primality testing 51447!23-1 [N+1, BLS] 51447!23-1 is prime! (155.734000 seconds) (digits:9570) Primality testing 51805!23-1 [N+1, BLS] 51805!23-1 is prime! (227.897000 seconds) (digits:9643) Primality testing 54427!23-1 [N+1, BLS] 54427!23-1 is prime! (206.006000 seconds) (digits:10182) Ian Brown Primality testing 57994!23-1 [N+1, BLS] 57994!23-1 is prime! (321.442000 seconds) (digits:10919) Ian Brown Primality testing 66512!23-1 [N+1, BLS] 66512!23-1 is prime! (564.031000 seconds) (digits:12694) Ian Brown Primality testing 67712!23-1 [N+1, BLS] 67712!23-1 is prime! (401.968000 seconds) (digits:12946) Ian Brown Primality testing 68652!23-1 [N+1, BLS] 68652!23-1 is prime! (819.349000 seconds) (digits:13143) Ian Brown Primality testing 75344!23-1 [N+1, BLS] 75344!23-1 is prime! (657.946000 seconds) (digits:14557) Ian Brown Primality testing 75994!23-1 [N+1, BLS] 75994!23-1 is prime! (664.315000 seconds) (digits:14694) Ian Brown Primality testing 79853!23-1 [N+1, BLS] 79853!23-1 is prime! (365.395000 seconds) (digits:15515) Ian Brown Primality testing 83657!23-1 [N+1, BLS] 83657!23-1 is prime! (656.074000 seconds) (digits:16328) Ian Brown Primality testing 84368!23-1 [N+1, BLS] 84368!23-1 is prime! (484.327000 seconds) (digits:16480) Ian Brown Primality testing 92663!23-1 [N+1, BLS] 92663!23-1 is prime! (1102.406000 seconds) (digits:18264) Ian Brown Primality testing 94750!23-1 [N+1, BLS] 94750!23-1 is prime! (1660.277000 seconds) (digits:18715) Ian Brown Primality testing 94837!23-1 [N+1, BLS] 94837!23-1 is prime! (1199.545000 seconds) (digits:18734) Ian Brown Primality testing 95170!23-1 [N+1, BLS] 95170!23-1 is prime! (1593.571000 seconds) (digits:18806) Ian Brown Primality testing 96712!23-1 [N+1, BLS] 96712!23-1 is prime! (598.581000 seconds) (digits:19140) Ian Brown Primality testing 103994!23-1 [N+1, BLS] 103994!23-1 is prime! (2104.016000 seconds) (digits:20724) Ian Brown Primality testing 113522!23-1 [N+1, BLS] 113522!23-1 is prime! (3484.2265s+0.0194s) (digits:22810) Ian Brown Primality testing 121047!23-1 [N+1, BLS] 121047!23-1 is prime! (2842.7552s+0.4972s) (digits:24468) Ian Brown Primality testing 126930!23-1 [N+1, BLS] 126930!23-1 is prime! (1759.3562s+0.0603s) (digits:25771) Ian Brown Primality testing 136739!23-1 [N+1, BLS] 136739!23-1 is prime! (1916.186000 seconds) (digits:27955) Ian Brown Primality testing 137970!23-1 [N+1, BLS] 137970!23-1 is prime! (2520.874000 seconds) (digits:28230) Ian Brown Primality testing 152122!23-1 [N+1, BLS] 152122!23-1 is prime! (1936.694000 seconds) (digits:31405) Ian Brown p90 Primality testing 153397!23-1 [N+1, BLS] 153397!23-1 is prime! (5904.612000 seconds) (digits:31693) Ian Brown p90 Primality testing 166332!23-1 [N+1, BLS] Running N+1 test using discriminant 7937, base 1+sqrt(7937) Running N+1 test using discriminant 7937, base 2+sqrt(7937) 166332!23-1 is prime! (662.8679s+0.0256s) (digits:34619) Matt Mills 01/2010 Primality testing 171232!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) Running N+1 test using discriminant 23, base 3+sqrt(23) 171232!23-1 is prime! (792.6807s+0.0276s) (digits:35733) Matt Mills 01/2010 Primality testing 172344!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) 172344!23-1 is prime! (541.1860s+0.0265s) (digits:35986) Matt Mills 01/2010 Primality testing 177871!23-1 [N+1, BLS] Running N+1 test using discriminant 8291, base 1+sqrt(8291) Running N+1 test using discriminant 8291, base 2+sqrt(8291) 177871!23-1 is prime! (725.2688s+0.0267s) (digits:37246) Matt Mills 01/2010 Primality testing 183590!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 183590!23-1 is prime! (289.3828s+0.0281s) (digits:38554) Matt Mills 01/2010 Primality testing 185449!23-1 [N+1, BLS] Running N+1 test using discriminant 8081, base 1+sqrt(8081) 185449!23-1 is prime! (439.5785s+0.0309s) (digits:38979) Matt Mills 01/2010 Primality testing 200379!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) Running N+1 test using discriminant 23, base 3+sqrt(23) 200379!23-1 is prime! (1019.6998s+0.0349s) (digits:42410) Matt Mills 12/2009 Primality testing 209774!23-1 [N+1, BLS] Running N+1 test using discriminant 10037, base 1+sqrt(10037) Running N+1 test using discriminant 10037, base 2+sqrt(10037) 209774!23-1 is prime! (1349.2197s+0.0416s) (digits:44580) Matt Mills 01/2010 Primality testing 214013!23-1 [N+1, BLS] Running N+1 test using discriminant 10259, base 1+sqrt(10259) Running N+1 test using discriminant 10259, base 2+sqrt(10259) Running N+1 test using discriminant 10259, base 3+sqrt(10259) 214013!23-1 is prime! (1960.7358s+0.0401s) (digits:45561) Matt Mills 01/2010 Primality testing 215967!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) 215967!23-1 is prime! (925.9671s+0.0387s) (digits:46014) Matt Mills 01/2010 Primality testing 217145!23-1 [N+1, BLS] Running N+1 test using discriminant 10487, base 1+sqrt(10487) Running N+1 test using discriminant 10487, base 2+sqrt(10487) Running N+1 test using discriminant 10487, base 3+sqrt(10487) 217145!23-1 is prime! (1889.3070s+0.0395s) (digits:46288) Matt Mills 01/2010 Primality testing 217524!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) 217524!23-1 is prime! (937.4610s+0.0406s) (digits:46376) Matt Mills 01/2010 Primality testing 219146!23-1 [N+1, BLS] Running N+1 test using discriminant 10141, base 1+sqrt(10141) Running N+1 test using discriminant 10141, base 2+sqrt(10141) Running N+1 test using discriminant 10141, base 3+sqrt(10141) Running N+1 test using discriminant 10141, base 4+sqrt(10141) Running N+1 test using discriminant 10141, base 5+sqrt(10141) Running N+1 test using discriminant 10141, base 6+sqrt(10141) 219146!23-1 is prime! (3851.6370s+0.0419s) (digits:46752) Matt Mills 01/2010 Primality testing 229345!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Running N+1 test using discriminant 23, base 2+sqrt(23) 229345!23-1 is prime! (1045.8387s+0.0482s) (digits:49125) Matt Mills 01/2010 Primality testing 240322!23-1 [N+1, BLS]  Running N+1 test using discriminant 23, base 1+sqrt(23)  240322!23-1 is prime! (888.4623s+0.0496s) (digits:51688) Matt Mills 09/2010 Primality testing 241742!23-1 [N+1, BLS]  Running N+1 test using discriminant 23, base 1+sqrt(23)  Running N+1 test using discriminant 23, base 2+sqrt(23)  241742!23-1 is prime! (1343.0500s+0.0673s) (digits:52021) Matt Mills 09/2010 Primality testing 255613!23-1 [N-1/N+1, BLS] Running N-1 test using base 11831 Running N+1 test using discriminant 12107, base 1+sqrt(12107) Running N+1 test using discriminant 12107, base 2+sqrt(12107) 255613!23-1 is prime! (10959.4156s+0.2067s) (digits:55274) Matt Mills 11/2010 Primality testing 257274!23-1 [N+1, BLS]  Running N+1 test using discriminant 11941, base 1+sqrt(11941)  Running N+1 test using discriminant 11941, base 2+sqrt(11941)  257274!23-1 is prime! (2017.5789s+0.0653s) (digits:55665) Matt Mills 07/2011 Primality testing 269063!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 12641, base 1+sqrt(12641) Running N+1 test using discriminant 12641, base 2+sqrt(12641) 269063!23-1 is prime! (1598.0315s+0.0169s)(digits:58443) MO 01/2014 Primality testing 271153!23-1 [N-1/N+1, BLS] Running N-1 test using base 12713 Running N+1 test using discriminant 12923, base 1+sqrt(12923) Running N+1 test using discriminant 12923, base 2+sqrt(12923) 271153!23-1 is prime! (1648.1438s+0.0241s)(digits:58937) MO 01/2014 Primality testing 271981!23-1 [N-1/N+1, BLS] Running N-1 test using base 13291 Running N+1 test using discriminant 13567, base 1+sqrt(13567) Running N+1 test using discriminant 13567, base 2+sqrt(13567) 271981!23-1 is prime! (1633.2082s+0.0168s)(digits:59133) MO 01/2014 Primality testing 275100!23-1 [N-1/N+1, BLS] Running N-1 test using base 12653 Running N+1 test using discriminant 13297, base 1+sqrt(13297) Running N+1 test using discriminant 13297, base 2+sqrt(13297) 275100!23-1 is prime! (1645.2434s+0.0182s)(digits:59870) MO 01/2014 Primality testing 295914!23-1 [N-1/N+1, BLS] Running N-1 test using base 13781 Running N+1 test using discriminant 14057, base 1+sqrt(14057) Running N+1 test using discriminant 14057, base 2+sqrt(14057) 295914!23-1 is prime! (2488.4178s+0.0262s)(digits:64807) MO 01/2014 Primality testing 298155!23-1 [N-1/N+1, BLS] Running N-1 test using base 13679 Running N+1 test using discriminant 14303, base 1+sqrt(14303) Running N+1 test using discriminant 14303, base 2+sqrt(14303) 298155!23-1 is prime! (2567.7815s+0.0272s)(digits:65340) MO 01/2014 Primality testing 310940!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 14303, base 1+sqrt(14303) Running N+1 test using discriminant 14303, base 2+sqrt(14303) 310940!23-1 is prime! (2219.3809s+0.0276s)(digits:68388) MO 01/2014 Primality testing 323616!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 14783, base 1+sqrt(14783) Running N+1 test using discriminant 14783, base 2+sqrt(14783) 323616!23-1 is prime! (2255.0244s+0.0361s)(digits:71420) MO 01/2014 Primality testing 347987!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 16057, base 1+sqrt(16057) Running N+1 test using discriminant 16057, base 2+sqrt(16057) 347987!23-1 is prime! (3163.9718s+0.0354s)(digits:77275) MO 01/2014 Primality testing 360675!23-1 [N-1/N+1, BLS] Running N-1 test using base 18043 Running N+1 test using discriminant 18049, base 1+sqrt(18049) Running N+1 test using discriminant 18049, base 2+sqrt(18049) 360675!23-1 is prime! (3639.7616s+0.0323s)(digits:80337) MO 01/2014 Primality testing 377007!23-1 [N-1/N+1, BLS] Running N-1 test using base 17351 Running N+1 test using discriminant 17443, base 1+sqrt(17443) Running N+1 test using discriminant 17443, base 2+sqrt(17443) 377007!23-1 is prime! (3704.4643s+0.0370s)(digits:84290) MO 01/2014 Primality testing 409408!23-1 [N-1/N+1, BLS] Running N-1 test using base 19013 Running N+1 test using discriminant 19289, base 1+sqrt(19289) Running N+1 test using discriminant 19289, base 2+sqrt(19289) 409408!23-1 is prime! (4323.3020s+0.0422s)(digits:92171) MO 01/2014 Primality testing 413273!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 19081, base 1+sqrt(19081) Running N+1 test using discriminant 19081, base 2+sqrt(19081) 413273!23-1 is prime! (3895.9803s+0.0464s)(digits:93115) MO 01/2014 Primality testing 426832!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 19759, base 1+sqrt(19759) Running N+1 test using discriminant 19759, base 2+sqrt(19759) 426832!23-1 is prime! (4541.0096s+0.0469s)(digits:96429) MO 01/2014 Primality testing 429259!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 20023, base 1+sqrt(20023) Running N+1 test using discriminant 20023, base 2+sqrt(20023) 429259!23-1 is prime! (4074.3907s+0.0432s)(digits:97024) MO 01/2014 Primality testing 450078!23-1 [N-1/N+1, BLS] Running N-1 test using base 20939 Running N+1 test using discriminant 21031, base 1+sqrt(21031) Running N+1 test using discriminant 21031, base 2+sqrt(21031) 450078!23-1 is prime! (6017.9451s+0.0484s)(digits:102132) MO 01/2014 Primality testing 494582!23-1 [N-1/N+1, BLS] Running N-1 test using base 23539 Running N+1 test using discriminant 23603, base 1+sqrt(23603) Running N+1 test using discriminant 23603, base 2+sqrt(23603) 494582!23-1 is prime! (7753.6515s+0.0545s)(digits:113111) MO 01/2014 Primality testing 512892!23-1 [N-1/N+1, BLS] Running N-1 test using base 23537 Running N+1 test using discriminant 23629, base 1+sqrt(23629) Running N+1 test using discriminant 23629, base 2+sqrt(23629) 512892!23-1 is prime! (6572.6587s+0.1579s)(digits:117650) Mark Rodenkirch 01/2017 Primality testing 515670!23-1 [N-1/N+1, BLS] Running N-1 test using base 23887 Running N+1 test using discriminant 24439, base 1+sqrt(24439) Running N+1 test using discriminant 24439, base 2+sqrt(24439) 515670!23-1 is prime! (7245.6774s+0.7093s)(digits:118340) Mark Rodenkirch 01/2017 Primality testing 535944!23-1 [N-1/N+1, BLS] Running N-1 test using base 25463 Running N+1 test using discriminant 25601, base 1+sqrt(25601) Running N+1 test using discriminant 25601, base 2+sqrt(25601) 535944!23-1 is prime! (9692.5511s+0.2455s)(digits:123383) Mark Rodenkirch 01/2017 Primality testing 548289!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 25147, base 1+sqrt(25147) Running N+1 test using discriminant 25147, base 2+sqrt(25147) 548289!23-1 is prime! (7409.4356s+0.2097s)(digits:126461) Mark Rodenkirch 01/2017 Primality testing 574362!23-1 [N-1/N+1, BLS] Running N-1 test using base 23 Running N+1 test using discriminant 26237, base 1+sqrt(26237) Running N+1 test using discriminant 26237, base 2+sqrt(26237) 574362!23-1 is prime! (6698.5684s+0.1908s)(digits:132978) Mark Rodenkirch 01/2017 Primality testing 593185!23-1 [N-1/N+1, BLS] Running N-1 test using base 26987 Running N+1 test using discriminant 28183, base 1+sqrt(28183) Running N+1 test using discriminant 28183, base 2+sqrt(28183) 593185!23-1 is prime! (7227.6630s+0.2043s)(digits:137697) Mark Rodenkirch 01/2017 Primality testing 619372!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 619372!23-1 is prime! (384.4457s+0.0839s)(digits:144281) MO 05/2024 Primality testing 622428!23-1 [N+1, BLS] Running N+1 test using discriminant 28541, base 1+sqrt(28541) 622428!23-1 is prime! (393.3944s+0.0886s)(digits:145051) MO 05/2024 Primality testing 672840!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 672840!23-1 is prime! (556.5182s+0.0956s)(digits:157788) MO 05/2024 Primality testing 676880!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 676880!23-1 is prime! (550.6580s+0.0656s)(digits:158812) MO 05/2024 Primality testing 679088!23-1 [N+1, BLS] Running N+1 test using discriminant 31727, base 1+sqrt(31727) 679088!23-1 is prime! (560.5978s+0.0659s)(digits:159372) MO 05/2024 Primality testing 680773!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 680773!23-1 is prime! (534.9573s+0.0649s)(digits:159799) MO 05/2024 Primality testing 693690!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 693690!23-1 is prime! (583.3475s+0.0754s)(digits:163077) MO 05/2024 Primality testing 711380!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 711380!23-1 is prime! (597.9323s+0.0735s)(digits:167574) MO 05/2024 Primality testing 773784!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 773784!23-1 is prime! (652.7345s+0.0961s)(digits:183502) MO 06/2024 Primality testing 798433!23-1 [N+1, BLS] Running N+1 test using discriminant 36973, base 1+sqrt(36973) 798433!23-1 is prime! (697.0843s+0.0918s)(digits:189820) MO 06/2024 Primality testing 834805!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 834805!23-1 is prime! (856.8827s+0.1023s)(digits:199169) MO 06/2024 Primality testing 835224!23-1 [N+1, BLS] Running N+1 test using discriminant 38707, base 1+sqrt(38707) 835224!23-1 is prime! (831.7899s+0.0988s)(digits:199277) MO 06/2024 Primality testing 857562!23-1 [N+1, BLS] Running N+1 test using discriminant 39139, base 1+sqrt(39139) 857562!23-1 is prime! (895.9877s+0.1091s)(digits:205034) MO 06/2024 Primality testing 862350!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 862350!23-1 is prime! (893.0202s+0.1066s)(digits:206270) MO 06/2024 Primality testing 891094!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 193645/710733 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 23, base 1+sqrt(23) 891094!23-1 is prime! (1251.1363s+0.1184s)(digits:213697) MO 06/2024 Primality testing 924251!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 924251!23-1 is prime! (1037.0277s+0.1362s)(digits:222286) MO 06/2024 Primality testing 948511!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 948511!23-1 is prime! (1037.4342s+0.1544s)(digits:228584) MO 06/2024 Primality testing 999602!23-1 [N+1, BLS] Running N+1 test using discriminant 45541, base 1+sqrt(45541) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 330669/804422 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 45541, base 1+sqrt(45541) 999602!23-1 is prime! (1924.1334s+0.1645s)(digits:241887) MO 06/2024 Primality testing 1001023!23-1 [N+1, BLS] Running N+1 test using discriminant 45523, base 1+sqrt(45523) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 373827/805654 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 45523, base 1+sqrt(45523) 1001023!23-1 is prime! (2018.6183s+0.1505s)(digits:242258) MO 06/2024 Primality testing 1009415!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 120749/812929 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 23, base 1+sqrt(23) 1009415!23-1 is prime! (1646.9880s+0.1511s)(digits:244448) MO 06/2024 Primality testing 1086096!23-1 [N+1, BLS] Running N+1 test using discriminant 49391, base 1+sqrt(49391) 1086096!23-1 is prime! (1609.6365s+0.1692s)(digits:264519) MO 06/2024 Primality testing 1089847!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) 1089847!23-1 is prime! (1613.1149s+0.1888s)(digits:265503) MO 06/2024 Primality testing 1102864!23-1 [N+1, BLS] Running N+1 test using discriminant 51437, base 1+sqrt(51437) 1102864!23-1 is prime! (1570.5372s+0.1846s)(digits:268922) MO 06/2024 Primality testing 1125472!23-1 [N+1, BLS] Running N+1 test using discriminant 51599, base 1+sqrt(51599) 1125472!23-1 is prime! (1515.2778s+0.1817s)(digits:274865) MO 06/2024 Primality testing 1185302!23-1 [N+1, BLS] Running N+1 test using discriminant 55249, base 1+sqrt(55249) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 80902/966411 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 55249, base 1+sqrt(55249) 1185302!23-1 is prime! (1642.8934s+0.2107s)(digits:290636) MO 06/2024 Primality testing 1186842!23-1 [N+1, BLS] Running N+1 test using discriminant 23, base 1+sqrt(23) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 15116/967762 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 23, base 1+sqrt(23) 1186842!23-1 is prime! (1589.0122s+0.2099s)(digits:291043) MO 06/2024