26!23+1 trivially factors prime!: 79 (digits:2) 27!23+1 trivially factors prime!: 109 (digits:3) 30!23+1 trivially factors prime!: 211 (digits:3) 33!23+1 trivially factors prime!: 331 (digits:3) 35!23+1 trivially factors prime!: 421 (digits:3) 38!23+1 trivially factors prime!: 571 (digits:3) 41!23+1 trivially factors prime!: 739 (digits:3) 45!23+1 trivially factors prime!: 991 (digits:3) 47!23+1 trivially factors prime!: 1129 (digits:4) 49!23+1 trivially factors prime!: 3823 (digits:4) 52!23+1 trivially factors prime!: 9049 (digits:4) 53!23+1 trivially factors prime!: 11131 (digits:5) 56!23+1 trivially factors prime!: 18481 (digits:5) 57!23+1 trivially factors prime!: 21319 (digits:5) 60!23+1 trivially factors prime!: 31081 (digits:5) 63!23+1 trivially factors prime!: 42841 (digits:5) 65!23+1 trivially factors prime!: 51871 (digits:5) 67!23+1 trivially factors prime!: 61909 (digits:5) 73!23+1 trivially factors prime!: 394201 (digits:6) 76!23+1 trivially factors prime!: 845881 (digits:6) 79!23+1 trivially factors prime!: 1459921 (digits:7) 90!23+1 trivially factors prime!: 5571721 (digits:7) 94!23+1 trivially factors prime!: 16017601 (digits:8) 113!23+1 trivially factors prime!: 629604361 (digits:9) Primality testing 119!23+1 [N-1, BLS] 119!23+1 is prime! (0.010000 seconds) (digits:10) Primality testing 125!23+1 [N-1, BLS] 125!23+1 is prime! (0.010000 seconds) (digits:11) Primality testing 126!23+1 [N-1, BLS] 126!23+1 is prime! (0.010000 seconds) (digits:11) Primality testing 127!23+1 [N-1, BLS] 127!23+1 is prime! (0.010000 seconds) (digits:11) Primality testing 133!23+1 [N-1, BLS] 133!23+1 is prime! (0.010000 seconds) (digits:11) Primality testing 134!23+1 [N-1, BLS] 134!23+1 is prime! (0.020000 seconds) (digits:11) Primality testing 141!23+1 [N-1, BLS] 141!23+1 is prime! (0.020000 seconds) (digits:12) Primality testing 149!23+1 [N-1, BLS] 149!23+1 is prime! (0.010000 seconds) (digits:13) Primality testing 158!23+1 [N-1, BLS] 158!23+1 is prime! (0.010000 seconds) (digits:14) Primality testing 159!23+1 [N-1, BLS] 159!23+1 is prime! (0.010000 seconds) (digits:14) Primality testing 166!23+1 [N-1, BLS] 166!23+1 is prime! (0.010000 seconds) (digits:15) Primality testing 172!23+1 [N-1, BLS] 172!23+1 is prime! (0.010000 seconds) (digits:15) Primality testing 176!23+1 [N-1, BLS] 176!23+1 is prime! (0.020000 seconds) (digits:16) Primality testing 178!23+1 [N-1, BLS] 178!23+1 is prime! (0.010000 seconds) (digits:16) Primality testing 180!23+1 [N-1, BLS] 180!23+1 is prime! (0.010000 seconds) (digits:16) Primality testing 191!23+1 [N-1, BLS] 191!23+1 is prime! (0.020000 seconds) (digits:17) Primality testing 194!23+1 [N-1, BLS] 194!23+1 is prime! (0.010000 seconds) (digits:17) Primality testing 195!23+1 [N-1, BLS] 195!23+1 is prime! (0.020000 seconds) (digits:18) Primality testing 199!23+1 [N-1, BLS] 199!23+1 is prime! (0.010000 seconds) (digits:18) Primality testing 211!23+1 [N-1, BLS] 211!23+1 is prime! (0.010000 seconds) (digits:19) Primality testing 229!23+1 [N-1, BLS] 229!23+1 is prime! (0.021000 seconds) (digits:21) Primality testing 239!23+1 [N-1, BLS] 239!23+1 is prime! (0.010000 seconds) (digits:22) Primality testing 255!23+1 [N-1, BLS] 255!23+1 is prime! (0.020000 seconds) (digits:23) Primality testing 256!23+1 [N-1, BLS] 256!23+1 is prime! (0.020000 seconds) (digits:24) Primality testing 258!23+1 [N-1, BLS] 258!23+1 is prime! (0.010000 seconds) (digits:24) Primality testing 261!23+1 [N-1, BLS] 261!23+1 is prime! (0.020000 seconds) (digits:24) Primality testing 267!23+1 [N-1, BLS] 267!23+1 is prime! (0.020000 seconds) (digits:25) Primality testing 272!23+1 [N-1, BLS] 272!23+1 is prime! (0.010000 seconds) (digits:25) Primality testing 273!23+1 [N-1, BLS] 273!23+1 is prime! (0.030000 seconds) (digits:25) Primality testing 277!23+1 [N-1, BLS] 277!23+1 is prime! (0.010000 seconds) (digits:26) Primality testing 288!23+1 [N-1, BLS] 288!23+1 is prime! (0.020000 seconds) (digits:27) Primality testing 292!23+1 [N-1, BLS] 292!23+1 is prime! (0.010000 seconds) (digits:28) Primality testing 293!23+1 [N-1, BLS] 293!23+1 is prime! (0.020000 seconds) (digits:28) Primality testing 302!23+1 [N-1, BLS] 302!23+1 is prime! (0.010000 seconds) (digits:29) Primality testing 309!23+1 [N-1, BLS] 309!23+1 is prime! (0.040000 seconds) (digits:30) Primality testing 313!23+1 [N-1, BLS] 313!23+1 is prime! (0.020000 seconds) (digits:30) Primality testing 324!23+1 [N-1, BLS] 324!23+1 is prime! (0.020000 seconds) (digits:31) Primality testing 333!23+1 [N-1, BLS] 333!23+1 is prime! (0.010000 seconds) (digits:32) Primality testing 363!23+1 [N-1, BLS] 363!23+1 is prime! (0.010000 seconds) (digits:35) Primality testing 364!23+1 [N-1, BLS] 364!23+1 is prime! (0.020000 seconds) (digits:35) Primality testing 367!23+1 [N-1, BLS] 367!23+1 is prime! (0.010000 seconds) (digits:36) Primality testing 379!23+1 [N-1, BLS] 379!23+1 is prime! (0.020000 seconds) (digits:37) Primality testing 381!23+1 [N-1, BLS] 381!23+1 is prime! (0.020000 seconds) (digits:37) Primality testing 386!23+1 [N-1, BLS] 386!23+1 is prime! (0.010000 seconds) (digits:38) Primality testing 401!23+1 [N-1, BLS] 401!23+1 is prime! (0.010000 seconds) (digits:40) Primality testing 403!23+1 [N-1, BLS] 403!23+1 is prime! (0.010000 seconds) (digits:40) Primality testing 416!23+1 [N-1, BLS] 416!23+1 is prime! (0.020000 seconds) (digits:41) Primality testing 417!23+1 [N-1, BLS] 417!23+1 is prime! (0.020000 seconds) (digits:41) Primality testing 419!23+1 [N-1, BLS] 419!23+1 is prime! (0.030000 seconds) (digits:42) Primality testing 430!23+1 [N-1, BLS] 430!23+1 is prime! (0.020000 seconds) (digits:43) Primality testing 438!23+1 [N-1, BLS] 438!23+1 is prime! (0.020000 seconds) (digits:44) Primality testing 449!23+1 [N-1, BLS] 449!23+1 is prime! (0.010000 seconds) (digits:45) Primality testing 454!23+1 [N-1, BLS] 454!23+1 is prime! (0.020000 seconds) (digits:46) Primality testing 478!23+1 [N-1, BLS] 478!23+1 is prime! (0.030000 seconds) (digits:48) Primality testing 489!23+1 [N-1, BLS] 489!23+1 is prime! (0.030000 seconds) (digits:50) Primality testing 495!23+1 [N-1, BLS] 495!23+1 is prime! (0.030000 seconds) (digits:51) Primality testing 511!23+1 [N-1, BLS] 511!23+1 is prime! (0.010000 seconds) (digits:53) Primality testing 529!23+1 [N-1, BLS] 529!23+1 is prime! (0.010000 seconds) (digits:54) Primality testing 555!23+1 [N-1, BLS] 555!23+1 is prime! (0.020000 seconds) (digits:58) Primality testing 570!23+1 [N-1, BLS] 570!23+1 is prime! (0.010000 seconds) (digits:59) Primality testing 575!23+1 [N-1, BLS] 575!23+1 is prime! (0.010000 seconds) (digits:60) Primality testing 610!23+1 [N-1, BLS] 610!23+1 is prime! (0.030000 seconds) (digits:64) Primality testing 680!23+1 [N-1, BLS] 680!23+1 is prime! (0.010000 seconds) (digits:73) Primality testing 716!23+1 [N-1, BLS] 716!23+1 is prime! (0.030000 seconds) (digits:77) Primality testing 718!23+1 [N-1, BLS] 718!23+1 is prime! (0.010000 seconds) (digits:78) Primality testing 721!23+1 [N-1, BLS] 721!23+1 is prime! (0.050000 seconds) (digits:78) Primality testing 760!23+1 [N-1, BLS] 760!23+1 is prime! (0.010000 seconds) (digits:82) Primality testing 761!23+1 [N-1, BLS] 761!23+1 is prime! (0.020000 seconds) (digits:83) Primality testing 829!23+1 [N-1, BLS] 829!23+1 is prime! (0.010000 seconds) (digits:91) Primality testing 842!23+1 [N-1, BLS] 842!23+1 is prime! (0.010000 seconds) (digits:93) Primality testing 844!23+1 [N-1, BLS] 844!23+1 is prime! (0.020000 seconds) (digits:93) Primality testing 902!23+1 [N-1, BLS] 902!23+1 is prime! (0.031000 seconds) (digits:101) Primality testing 960!23+1 [N-1, BLS] 960!23+1 is prime! (0.020000 seconds) (digits:108) Primality testing 1021!23+1 [N-1, BLS] 1021!23+1 is prime! (0.030000 seconds) (digits:116) Primality testing 1044!23+1 [N-1, BLS] 1044!23+1 is prime! (0.040000 seconds) (digits:120) Primality testing 1082!23+1 [N-1, BLS] 1082!23+1 is prime! (0.010000 seconds) (digits:124) Primality testing 1187!23+1 [N-1, BLS] 1187!23+1 is prime! (0.020000 seconds) (digits:138) Primality testing 1266!23+1 [N-1, BLS] 1266!23+1 is prime! (0.040000 seconds) (digits:149) Primality testing 1284!23+1 [N-1, BLS] 1284!23+1 is prime! (0.040000 seconds) (digits:151) Primality testing 1432!23+1 [N-1, BLS] 1432!23+1 is prime! (0.050000 seconds) (digits:172) Primality testing 1507!23+1 [N-1, BLS] 1507!23+1 is prime! (0.050000 seconds) (digits:182) Primality testing 1543!23+1 [N-1, BLS] 1543!23+1 is prime! (0.060000 seconds) (digits:187) Primality testing 1553!23+1 [N-1, BLS] 1553!23+1 is prime! (0.050000 seconds) (digits:188) Primality testing 1576!23+1 [N-1, BLS] 1576!23+1 is prime! (0.050000 seconds) (digits:192) Primality testing 1637!23+1 [N-1, BLS] 1637!23+1 is prime! (0.030000 seconds) (digits:200) Primality testing 1671!23+1 [N-1, BLS] 1671!23+1 is prime! (0.030000 seconds) (digits:205) Primality testing 1693!23+1 [N-1, BLS] 1693!23+1 is prime! (0.110000 seconds) (digits:208) Primality testing 1709!23+1 [N-1, BLS] 1709!23+1 is prime! (0.081000 seconds) (digits:210) Primality testing 1728!23+1 [N-1, BLS] 1728!23+1 is prime! (0.070000 seconds) (digits:213) Primality testing 1934!23+1 [N-1, BLS] 1934!23+1 is prime! (0.090000 seconds) (digits:242) Primality testing 1940!23+1 [N-1, BLS] 1940!23+1 is prime! (0.040000 seconds) (digits:243) Primality testing 1967!23+1 [N-1, BLS] 1967!23+1 is prime! (0.250000 seconds) (digits:247) Primality testing 2061!23+1 [N-1, BLS] 2061!23+1 is prime! (0.411000 seconds) (digits:260) Primality testing 2209!23+1 [N-1, BLS] 2209!23+1 is prime! (0.070000 seconds) (digits:281) Primality testing 2619!23+1 [N-1, BLS] 2619!23+1 is prime! (0.200000 seconds) (digits:342) Primality testing 2620!23+1 [N-1, BLS] 2620!23+1 is prime! (0.120000 seconds) (digits:342) Primality testing 2652!23+1 [N-1, BLS] 2652!23+1 is prime! (0.331000 seconds) (digits:347) Primality testing 2708!23+1 [N-1, BLS] 2708!23+1 is prime! (0.260000 seconds) (digits:355) Primality testing 2732!23+1 [N-1, BLS] 2732!23+1 is prime! (0.251000 seconds) (digits:359) Primality testing 2739!23+1 [N-1, BLS] 2739!23+1 is prime! (0.230000 seconds) (digits:360) Primality testing 2823!23+1 [N-1, BLS] 2823!23+1 is prime! (0.160000 seconds) (digits:372) Primality testing 2856!23+1 [N-1, BLS] 2856!23+1 is prime! (0.231000 seconds) (digits:378) Primality testing 2885!23+1 [N-1, BLS] 2885!23+1 is prime! (0.170000 seconds) (digits:382) Primality testing 3030!23+1 [N-1, BLS] 3030!23+1 is prime! (0.090000 seconds) (digits:404) Primality testing 3066!23+1 [N-1, BLS] 3066!23+1 is prime! (0.110000 seconds) (digits:409) Primality testing 3130!23+1 [N-1, BLS] 3130!23+1 is prime! (0.200000 seconds) (digits:419) Primality testing 3192!23+1 [N-1, BLS] 3192!23+1 is prime! (0.141000 seconds) (digits:428) Primality testing 3206!23+1 [N-1, BLS] 3206!23+1 is prime! (0.280000 seconds) (digits:431) Primality testing 3313!23+1 [N-1, BLS] 3313!23+1 is prime! (0.160000 seconds) (digits:446) Primality testing 3431!23+1 [N-1, BLS] 3431!23+1 is prime! (0.291000 seconds) (digits:465) Primality testing 3558!23+1 [N-1, BLS] 3558!23+1 is prime! (0.651000 seconds) (digits:484) Primality testing 3604!23+1 [N-1, BLS] 3604!23+1 is prime! (0.741000 seconds) (digits:492) Primality testing 3662!23+1 [N-1, BLS] 3662!23+1 is prime! (0.180000 seconds) (digits:501) Primality testing 3906!23+1 [N-1, BLS] 3906!23+1 is prime! (0.481000 seconds) (digits:538) Primality testing 4023!23+1 [N-1, BLS] 4023!23+1 is prime! (0.540000 seconds) (digits:557) Primality testing 4085!23+1 [N-1, BLS] 4085!23+1 is prime! (0.281000 seconds) (digits:567) Primality testing 4088!23+1 [N-1, BLS] 4088!23+1 is prime! (0.571000 seconds) (digits:567) Primality testing 4260!23+1 [N-1, BLS] 4260!23+1 is prime! (0.230000 seconds) (digits:594) Primality testing 4383!23+1 [N-1, BLS] 4383!23+1 is prime! (0.661000 seconds) (digits:614) Primality testing 4407!23+1 [N-1, BLS] 4407!23+1 is prime! (0.841000 seconds) (digits:617) Primality testing 4455!23+1 [N-1, BLS] 4455!23+1 is prime! (1.052000 seconds) (digits:625) Primality testing 4466!23+1 [N-1, BLS] 4466!23+1 is prime! (0.941000 seconds) (digits:627) Primality testing 4567!23+1 [N-1, BLS] 4567!23+1 is prime! (0.641000 seconds) (digits:643) Primality testing 4599!23+1 [N-1, BLS] 4599!23+1 is prime! (0.821000 seconds) (digits:648) Primality testing 4744!23+1 [N-1, BLS] 4744!23+1 is prime! (0.391000 seconds) (digits:671) Primality testing 5041!23+1 [N-1, BLS] 5041!23+1 is prime! (0.861000 seconds) (digits:719) Primality testing 5281!23+1 [N-1, BLS] 5281!23+1 is prime! (0.370000 seconds) (digits:757) Primality testing 5498!23+1 [N-1, BLS] 5498!23+1 is prime! (1.042000 seconds) (digits:792) Primality testing 5946!23+1 [N-1, BLS] 5946!23+1 is prime! (1.041000 seconds) (digits:866) Primality testing 5982!23+1 [N-1, BLS] 5982!23+1 is prime! (0.892000 seconds) (digits:872) Primality testing 6148!23+1 [N-1, BLS] 6148!23+1 is prime! (0.591000 seconds) (digits:899) Primality testing 6419!23+1 [N-1, BLS] 6419!23+1 is prime! (0.610000 seconds) (digits:944) Primality testing 6530!23+1 [N-1, BLS] 6530!23+1 is prime! (0.631000 seconds) (digits:962) Primality testing 6781!23+1 [N-1, BLS] 6781!23+1 is prime! (0.651000 seconds) (digits:1004) Primality testing 6899!23+1 [N-1, BLS] 6899!23+1 is prime! (1.943000 seconds) (digits:1023) Primality testing 7128!23+1 [N-1, BLS] 7128!23+1 is prime! (0.961000 seconds) (digits:1062) Primality testing 7225!23+1 [N-1, BLS] 7225!23+1 is prime! (1.222000 seconds) (digits:1078) Primality testing 7318!23+1 [N-1, BLS] 7318!23+1 is prime! (1.623000 seconds) (digits:1094) Primality testing 7973!23+1 [N-1, BLS] 7973!23+1 is prime! (3.455000 seconds) (digits:1204) Primality testing 7983!23+1 [N-1, BLS] 7983!23+1 is prime! (7.070000 seconds) (digits:1206) Primality testing 8002!23+1 [N-1, BLS] 8002!23+1 is prime! (1.131000 seconds) (digits:1209) Primality testing 8183!23+1 [N-1, BLS] 8183!23+1 is prime! (2.033000 seconds) (digits:1240) Primality testing 8537!23+1 [N-1, BLS] 8537!23+1 is prime! (6.049000 seconds) (digits:1301) Primality testing 8549!23+1 [N-1, BLS] 8549!23+1 is prime! (3.765000 seconds) (digits:1303) Primality testing 8974!23+1 [N-1, BLS] 8974!23+1 is prime! (3.896000 seconds) (digits:1375) Primality testing 9101!23+1 [N-1, BLS] 9101!23+1 is prime! (2.003000 seconds) (digits:1397) Primality testing 9109!23+1 [N-1, BLS] 9109!23+1 is prime! (11.406000 seconds) (digits:1398) Primality testing 9185!23+1 [N-1, BLS] 9185!23+1 is prime! (4.387000 seconds) (digits:1412) Primality testing 9189!23+1 [N-1, BLS] 9189!23+1 is prime! (4.266000 seconds) (digits:1413) Primality testing 9336!23+1 [N-1, BLS] 9336!23+1 is prime! (2.884000 seconds) (digits:1438) Primality testing 9433!23+1 [N-1, BLS] 9433!23+1 is prime! (4.406000 seconds) (digits:1455) Primality testing 9747!23+1 [N-1, BLS] 9747!23+1 is prime! (6.540000 seconds) (digits:1509) Primality testing 9976!23+1 [N-1, BLS] 9976!23+1 is prime! (4.476000 seconds) (digits:1549) Primality testing 10002!23+1 [N-1, BLS] 10002!23+1 is prime! (4.687000 seconds) (digits:1553) Primality testing 10022!23+1 [N-1, BLS] 10022!23+1 is prime! (2.203000 seconds) (digits:1557) Primality testing 10225!23+1 [N-1, BLS] 10225!23+1 is prime! (4.046000 seconds) (digits:1592) Primality testing 11856!23+1 [N-1, BLS] 11856!23+1 is prime! (4.386000 seconds) (digits:1879) Primality testing 12044!23+1 [N-1, BLS] 12044!23+1 is prime! (8.102000 seconds) (digits:1912) Primality testing 13099!23+1 [N-1, BLS] 13099!23+1 is prime! (3.255000 seconds) (digits:2100) Primality testing 13701!23+1 [N-1, BLS] 13701!23+1 is prime! (6.118000 seconds) (digits:2208) Primality testing 13976!23+1 [N-1, BLS] 13976!23+1 is prime! (16.023000 seconds) (digits:2258) Primality testing 14641!23+1 [N-1, BLS] 14641!23+1 is prime! (10.135000 seconds) (digits:2378) Primality testing 14836!23+1 [N-1, BLS] 14836!23+1 is prime! (18.457000 seconds) (digits:2413) Primality testing 15985!23+1 [N-1, BLS] 15985!23+1 is prime! (8.281000 seconds) (digits:2622) Primality testing 17542!23+1 [N-1, BLS] 17542!23+1 is prime! (39.196000 seconds) (digits:2908) Primality testing 17812!23+1 [N-1, BLS] 17812!23+1 is prime! (16.494000 seconds) (digits:2958) Primality testing 18260!23+1 [N-1, BLS] 18260!23+1 is prime! (17.825000 seconds) (digits:3041) Primality testing 18425!23+1 [N-1, BLS] 18425!23+1 is prime! (21.121000 seconds) (digits:3072) Primality testing 18712!23+1 [N-1, BLS] 18712!23+1 is prime! (20.750000 seconds) (digits:3125) Primality testing 18851!23+1 [N-1, BLS] 18851!23+1 is prime! (10.535000 seconds) (digits:3151) Primality testing 20599!23+1 [N-1, BLS] 20599!23+1 is prime! (4.719000 seconds) (digits:3477) Primality testing 20929!23+1 [N-1, BLS] 20929!23+1 is prime! (4.937000 seconds) (digits:3539) Primality testing 21352!23+1 [N-1, BLS] 21352!23+1 is prime! (4.250000 seconds) (digits:3619) Primality testing 21715!23+1 [N-1, BLS] 21715!23+1 is prime! (5.344000 seconds) (digits:3687) Primality testing 21818!23+1 [N-1, BLS] 21818!23+1 is prime! (5.265000 seconds) (digits:3707) Primality testing 22473!23+1 [N-1, BLS] 22473!23+1 is prime! (2.735000 seconds) (digits:3830) Primality testing 22845!23+1 [N-1, BLS] 22845!23+1 is prime! (5.640000 seconds) (digits:3901) Primality testing 23094!23+1 [N-1, BLS] 23094!23+1 is prime! (7.125000 seconds) (digits:3948) Primality testing 24760!23+1 [N-1, BLS] 24760!23+1 is prime! (11.110000 seconds) (digits:4265) Primality testing 25067!23+1 [N-1, BLS] 25067!23+1 is prime! (10.891000 seconds) (digits:4324) Primality testing 27071!23+1 [N-1, BLS] 27071!23+1 is prime! (3.719000 seconds) (digits:4708) Primality testing 27179!23+1 [N-1, BLS] 27179!23+1 is prime! (10.563000 seconds) (digits:4729) Primality testing 28617!23+1 [N-1, BLS] 28617!23+1 is prime! (11.5882s+0.0203s) (digits:5008) Primality testing 29008!23+1 [N-1, BLS] 29008!23+1 is prime! (4.8997s+0.0225s) (digits:5083) Primality testing 29081!23+1 [N-1, BLS] 29081!23+1 is prime! (13.6303s+0.0098s) (digits:5098) Primality testing 29586!23+1 [N-1, BLS] 29586!23+1 is prime! (14.1319s+0.0101s) (digits:5196) Primality testing 29728!23+1 [N-1, BLS] 29728!23+1 is prime! (5.1609s+0.0410s) (digits:5223) Primality testing 30283!23+1 [N-1, BLS] 30283!23+1 is prime! (52.5064s+0.0353s) (digits:5331) Primality testing 30725!23+1 [N-1, BLS] 30725!23+1 is prime! (19.3361s+0.0727s) (digits:5417) Primality testing 31769!23+1 [N-1, BLS] 31769!23+1 is prime! (36.1722s+0.0584s) (digits:5622) Primality testing 32531!23+1 [N-1, BLS] 32531!23+1 is prime! (29.7210s+0.0602s) (digits:5771) Primality testing 33298!23+1 [N-1, BLS] 33298!23+1 is prime! (11.9387s+0.0598s) (digits:5921) Primality testing 34934!23+1 [N-1, BLS] 34934!23+1 is prime! (31.9605s+0.0364s) (digits:6244) Primality testing 37142!23+1 [N-1, BLS] 37142!23+1 is prime! (22.031000 seconds) (digits:6681) Primality testing 38051!23+1 [N-1, BLS] 38051!23+1 is prime! (21.812000 seconds) (digits:6862) Primality testing 39410!23+1 [N-1, BLS] 39410!23+1 is prime! (42.6262s+0.0506s) (digits:7133) Primality testing 39457!23+1 [N-1, BLS] 39457!23+1 is prime! (25.8059s+0.0200s) (digits:7143) Primality testing 41986!23+1 [N-1, BLS] 41986!23+1 is prime! (22.938000 seconds) (digits:7650) Primality testing 42338!23+1 [N-1, BLS] 42338!23+1 is prime! (31.032000 seconds) (digits:7720) Primality testing 44021!23+1 [N-1, BLS] 44021!23+1 is prime! (24.219000 seconds) (digits:8059) Primality testing 44994!23+1 [N-1, BLS] 44994!23+1 is prime! (53.765000 seconds) (digits:8256) Primality testing 46654!23+1 [N-1, BLS] 46654!23+1 is prime! (25.984000 seconds) (digits:8593) Primality testing 47217!23+1 [N-1, BLS] 47217!23+1 is prime! (11.047000 seconds) (digits:8707) Primality testing 48106!23+1 [N-1, BLS] 48106!23+1 is prime! (31.766000 seconds) (digits:8888) Primality testing 48149!23+1 [N-1, BLS] 48149!23+1 is prime! (52.2117s+0.0153s) (digits:8897) Primality testing 49551!23+1 [N-1, BLS] 49551!23+1 is prime! (33.9226s+0.0216s) (digits:9182) Primality testing 50085!23+1 [N-1, BLS] 50085!23+1 is prime! (21.9865s+0.0274s) (digits:9291) Primality testing 52597!23+1 [N-1, BLS] 52597!23+1 is prime! (71.6435s+0.0341s) (digits:9806) Primality testing 52837!23+1 [N-1, BLS] 52837!23+1 is prime! (62.5015s+0.0157s) (digits:9855) Primality testing 54890!23+1 [N-1, BLS] 54890!23+1 is prime! (53.5580s+0.0143s) (digits:10277) Michael Lau 12/2003 Primality testing 56346!23+1 [N-1, BLS] 56346!23+1 is prime! (68.8694s+0.0148s) (digits:10578) Michael Lau 12/2003 Primality testing 65620!23+1 [N-1, BLS] 65620!23+1 is prime! (96.7407s+0.0203s) (digits:12507) Michael Lau 02/2004 Primality testing 71743!23+1 [N-1, BLS] 71743!23+1 is prime! (69.1673s+0.0465s) (digits:13795) Michael Lau 02/2004 Primality testing 72009!23+1 [N-1, BLS] 72009!23+1 is prime! (64.8851s+0.0188s) (digits:13851) Michael Lau 02/2004 Primality testing 72396!23+1 [N-1, BLS] 72396!23+1 is prime! (221.1346s+0.0204s) (digits:13933) Michael Lau 02/2004 Primality testing 74522!23+1 [N-1, BLS] 74522!23+1 is prime! (108.7701s+0.0184s) (digits:14382) Michael Lau 02/2004 Primality testing 80054!23+1 [N-1, BLS] 80054!23+1 is prime! (132.0557s+0.0226s) (digits:15558) Michael Lau 02/2004 Primality testing 80340!23+1 [N-1, BLS] 80340!23+1 is prime! (126.3816s+0.1045s) (digits:15619) Michael Lau 11/2004 Primality testing 81667!23+1 [N-1, BLS] 81667!23+1 is prime! (131.5151s+0.0139s) (digits:15902) Michael Lau 11/2004 Primality testing 82098!23+1 [N-1, BLS] 82098!23+1 is prime! (110.6247s+0.0139s) (digits:15995) Michael Lau 11/2004 Primality testing 85091!23+1 [N-1, BLS] 85091!23+1 is prime! (58.9742s+0.0155s) (digits:16635) Michael Lau 11/2004 Primality testing 86543!23+1 [N-1, BLS] 86543!23+1 is prime! (171.1856s+0.0153s) (digits:16946) Michael Lau 11/2004 Primality testing 90367!23+1 [N-1, BLS] 90367!23+1 is prime! (177.4744s+0.0169s) (digits:17769) Michael Lau 11/2004 Primality testing 91184!23+1 [N-1, BLS] 91184!23+1 is prime! (155.3182s+0.0207s) (digits:17945) Michael Lau 11/2004 Primality testing 91422!23+1 [N-1, BLS] 91422!23+1 is prime! (361.8676s+0.0178s) (digits:17996) Michael Lau 11/2004 Primality testing 91630!23+1 [N-1, BLS] 91630!23+1 is prime! (243.1952s+0.0175s) (digits:18041) Michael Lau 11/2004 Primality testing 92905!23+1 [N-1, BLS] 92905!23+1 is prime! (159.1671s+0.0180s) (digits:18317) Michael Lau 11/2004 Primality testing 95764!23+1 [N-1, BLS] 95764!23+1 is prime! (158.6921s+0.0190s) (digits:18935) Michael Lau 11/2004 Primality testing 99845!23+1 [N-1, BLS] 99845!23+1 is prime! (107.8958s+0.0203s) (digits:19820) Michael Lau 11/2004 Primality testing 101008!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 4723 Running N-1 test using base 4861 101008!23+1 is prime! (28.3420s+0.0076s)(digits:20073) Mark Rodenkirch 01/2017 Primality testing 101466!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 4973 101466!23+1 is prime! (18.3097s+0.0067s)(digits:20173) Mark Rodenkirch 01/2017 Primality testing 113997!23+1 [N-1, BLS] 113997!23+1 is prime! (298.0064s+0.0561s) (digits:22915) Michael Lau 07/2006 Primality testing 117481!23+1 [N-1, BLS] 117481!23+1 is prime! (631.1989s+0.0665s) (digits:23681) Michael Lau 07/2006 Primality testing 117743!23+1 [N-1, BLS] 117743!23+1 is prime! (728.8138s+0.0300s)(digits:23739) Michael Lau 07/2006 Primality testing 118806!23+1 [N-1, BLS] 118806!23+1 is prime! (136.9993s+0.0282s) (digits:23974) Michael Lau 08/2006 Primality testing 126831!23+1 [N-1, BLS] 126831!23+1 is prime! (550.8945s+0.0602s) (digits:25750) Michael Lau 10/2006 Primality testing 128752!23+1 [N-1, BLS] 128752!23+1 is prime! (555.4026s+0.0619s) (digits:26176) Michael Lau 10/2006 Primality testing 145053!23+1 [N-1, BLS] 145053!23+1 is prime! (174.2278s+0.0727s) (digits:29816) Michael Lau 01/2007 Primality testing 145223!23+1 [N-1, BLS] 145223!23+1 is prime! (743.5063s+0.0490s) (digits:29854) Michael Lau 01/2007 Primality testing 146845!23+1 [N-1, BLS] Running N-1 test using base 23 146845!23+1 is prime! (173.2845s+0.0524s) (digits:30219) Michael Lau 05/2007 Primality testing 152600!23+1 [N-1, BLS] Running N-1 test using base 7489 Running N-1 test using base 7549 152600!23+1 is prime! (515.1418s+0.0865s) (digits:31513) Michael Lau 05/2007 Primality testing 155787!23+1 [N-1, BLS] Running N-1 test using base 23 155787!23+1 is prime! (183.5293s+0.0909s) (digits:32232) Michael Lau 05/2007 Primality testing 163238!23+1 [N-1, BLS] Running N-1 test using base 7583 Running N-1 test using base 7951 163238!23+1 is prime! (679.4695s+0.0911s) (digits:33918) Michael Lau 12/2007 Primality testing 164059!23+1 [N-1, BLS] Running N-1 test using base 7159 164059!23+1 is prime! (357.4146s+0.1082s) (digits:34104) Michael Lau 12/2007 Primality testing 167515!23+1 [N-1, BLS] Running N-1 test using base 23 167515!23+1 is prime! (243.5424s+0.1062s) (digits:34888) Michael Lau 12/2007 Primality testing 171157!23+1 [N-1, BLS] Running N-1 test using base 7829 171157!23+1 is prime! (350.4718s+0.1161s) (digits:35716) Michael Lau 12/2007 Primality testing 186836!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 8963 186836!23+1 is prime! (650.0724s+0.0899s) (digits:39297) Michael Lau 12/2007 Primality testing 188849!23+1 [N-1, BLS] Running N-1 test using base 8629 Running N-1 test using base 8951 188849!23+1 is prime! (774.7175s+0.0930s) (digits:39758) Michael Lau 12/2007 Primality testing 198422!23+1 [N-1, BLS] Running N-1 test using base 9613 Running N-1 test using base 9901 Running N-1 test using base 10039 198422!23+1 is prime! (1228.8133s+0.1018s) (digits:41959) Michael Lau 12/2007 Primality testing 215387!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 9829 215387!23+1 is prime! (1383.6564s+0.1720s) (digits:45880 ) Michael Lau 01/2008 Primality testing 227868!23+1 [N-1, BLS] Running N-1 test using base 10711 Running N-1 test using base 10987 227868!23+1 is prime! (1447.6201s+0.5321s) (digits:48781) Michael Lau 01/2008 Primality testing 229137!23+1 [N-1, BLS] Running N-1 test using base 10477 Running N-1 test using base 10799 229137!23+1 is prime! (1578.0467s+0.1430s) (digits:49077) Michael Lau 01/2009 Primality testing 240834!23+1 [N-1, BLS] Running N-1 test using base 11177 Running N-1 test using base 11833 240834!23+1 is prime! (1803.8275s+0.2060s) (digits:51808) Michael Lau 01/2009 Primality testing 248570!23+1 [N-1, BLS] Running N-1 test using base 11353 Running N-1 test using base 12227 248570!23+1 is prime! (2015.1715s+0.1786s) (digits:53621) Michael Lau 02/2009 Primality testing 249154!23+1 [N-1, BLS] Running N-1 test using base 12011 Running N-1 test using base 12149 249154!23+1 is prime! (1823.2568s+0.2341s) (digits:53757) Michael Lau 02/2009 Primality testing 252538!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 11801 Running N-1 test using base 12689 252538!23+1 is prime! (2489.9211s+0.2474s) (digits:54552) Michael Lau 02/2009 Primality testing 261973!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 12739 261973!23+1 is prime! (1630.0227s+0.2550s) (digits:56771) Michael Lau 02/2009 Primality testing 262949!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 12637 262949!23+1 is prime! (717.5348s+0.0591s) (digits:57001) Michael Lau 03/2009 Primality testing 268256!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 12919 268256!23+1 is prime! (723.5227s+0.0506s) (digits:58253) Michael Lau 03/2009 Primality testing 289137!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 13681 Running N-1 test using base 14051 Running N-1 test using base 14143 Running N-1 test using base 14281 289137!23+1 is prime! (2670.4322s+0.0920s) (digits:63196) Michael Lau 03/2009 Primality testing 311995!23+1 [N-1, BLS] Running N-1 test using base 13567 311995!23+1 is prime! (601.9962s+0.1352s) (digits:68640) Michael Lau 05/2009 Primality testing 326910!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 14939 326910!23+1 is prime! (1086.0549s+0.0746s) (digits:72210) Michael Lau 06/2009 Primality testing 336012!23+1 [N-1, BLS] Running N-1 test using base 15497 Running N-1 test using base 15727 336012!23+1 is prime! (1717.9616s+0.0829s) (digits:74394) Michael Lau 06/2009 Primality testing 382722!23+1 [N-1, BLS] Running N-1 test using base 23 382722!23+1 is prime! (855.6544s+0.1057s) (digits:85676) Michael Lau 08/2009 Primality testing 417240!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 32K on A 312537-bit number 417240!23+1 is prime! (1205.2205s+0.2607s) (digits:94083) Michael Lau 02/2010 Primality testing 419499!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 32K on A 314371-bit number Running N-1 test using base 19157 Generic modular reduction using generic reduction FFT length 32K on A 314371-bit number 419499!23+1 is prime! (2785.6651s+0.2463s) (digits:94636) Michael Lau 04/2010 Primality testing 431414!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 32K on A 324059-bit number Running N-1 test using base 19961 Generic modular reduction using generic reduction FFT length 32K on A 324059-bit number 431414!23+1 is prime! (1596.0771s+0.1663s) (digits:97552) Michael Lau 04/2010 Primality testing 432801!23+1 [N-1, BLS] Running N-1 test using base 19793 Generic modular reduction using generic reduction FFT length 32K on A 325188-bit number 432801!23+1 is prime! (1020.9159s+0.1502s) (digits:97892) Michael Lau 04/2010 Primality testing 468661!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 40K on A 354471-bit number Running N-1 test using base 22067 Generic modular reduction using generic reduction FFT length 40K on A 354471-bit number Running N-1 test using base 22159 Generic modular reduction using generic reduction FFT length 40K on A 354471-bit number 468661!23+1 is prime! (6856.3384s+0.3082s) (digits:106707) Michael Lau 08/2010 Primality testing 470469!23+1 [N-1, BLS] Running N-1 test using base 21961 Generic modular reduction using generic reduction FFT length 40K on A 355952-bit number Running N-1 test using base 22651 Generic modular reduction using generic reduction FFT length 40K on A 355952-bit number 470469!23+1 is prime! (5153.9821s+0.3106s) (digits:107152) Michael Lau 08/2010 Primality testing 493306!23+1 [N-1, BLS] Running N-1 test using base 23021 Generic modular reduction using generic reduction FFT length 40K on A 374696-bit number Running N-1 test using base 23251 Generic modular reduction using generic reduction FFT length 40K on A 374696-bit number Running N-1 test using base 24379 Generic modular reduction using generic reduction FFT length 40K on A 374696-bit number 493306!23+1 is prime! (5188.4684s+0.3218s) (digits:112795) Michael Lau 11/2010 Primality testing 500110!23+1 [N-1, BLS] Running N-1 test using base 23117 Generic modular reduction using generic reduction FFT length 40K on A 380293-bit number Running N-1 test using base 23209 Generic modular reduction using generic reduction FFT length 40K on A 380293-bit number 500110!23+1 is prime! (2946.1612s+0.1914s) (digits:114480) Michael Lau 11/2010 Primality testing 505855!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 40K on A 385024-bit number Running N-1 test using base 23053 Generic modular reduction using generic reduction FFT length 40K on A 385024-bit number Running N-1 test using base 23099 Generic modular reduction using generic reduction FFT length 40K on A 385024-bit number Running N-1 test using base 24019 Generic modular reduction using generic reduction FFT length 40K on A 385024-bit number 505855!23+1 is prime! (5823.2747s+0.3618s) (digits:115904) Michael Lau 02/2011 Primality testing 509171!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 40K on A 387756-bit number Running N-1 test using base 23279 Generic modular reduction using generic reduction FFT length 40K on A 387756-bit number 509171!23+1 is prime! (2618.8884s+0.1838s) (digits:116727) Michael Lau 02/2011 Primality testing 509332!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 40K on A 387889-bit number Running N-1 test using base 23371 Generic modular reduction using generic reduction FFT length 40K on A 387889-bit number 509332!23+1 is prime! (2626.3841s+0.1832s) (digits:116767) Michael Lau 02/2011 Primality testing 514285!23+1 [N-1, BLS] Running N-1 test using base 24007 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 391974-bit number 514285!23+1 is prime! (1718.6375s+0.2825s) (digits:117996) Michael Lau 02/2011 Primality testing 521043!23+1 [N-1, BLS] Running N-1 test using base 23689 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 397550-bit number 521043!23+1 is prime! (1659.5294s+0.1637s) (digits:119675) Michael Lau 02/2011 Primality testing 538508!23+1 [N-1, BLS] Running N-1 test using base 24509 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 411991-bit number Running N-1 test using base 24877 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 411991-bit number 538508!23+1 is prime! (3820.8366s+0.2583s) (digits:124022) Michael Lau 01/2012 Primality testing 544677!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction FFT length 40K on A 417099-bit number Running N-1 test using base 25171 Generic modular reduction using generic reduction FFT length 40K on A 417099-bit number 544677!23+1 is prime! (2924.3791s+0.2999s) (digits:125560) Michael Lau 01/2012 Primality testing 562746!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 48K, Pass1=64, Pass2=768 on A 432088-bit number Running N-1 test using base 25847 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 48K, Pass1=64, Pass2=768 on A 432088-bit number 562746!23+1 is prime! (3624.0372s+0.1996s) (digits:130072) Michael Lau 01/2012 Primality testing 571312!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 48K, Pass1=64, Pass2=768 on A 439206-bit number Running N-1 test using base 26113 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 48K, Pass1=64, Pass2=768 on A 439206-bit number Running N-1 test using base 26251 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 48K, Pass1=64, Pass2=768 on A 439206-bit number 571312!23+1 is prime! (5774.9721s+0.1969s) (digits:132214) Michael Lau 01/2012 Primality testing 588331!23+1 [N-1, BLS] Running N-1 test using base 27011 Running N-1 test using base 27103 588331!23+1 is prime! (1125.7007s+0.0784s)(digits:136479) MO 01/2014 Primality testing 614259!23+1 [N-1, BLS] Running N-1 test using base 28591 614259!23+1 is prime! (610.3875s+0.0851s)(digits:142994) MO 01/2014 Primality testing 650743!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 505582-bit number Running N-1 test using base 29873 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 505582-bit number Running N-1 test using base 30103 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 505582-bit number 650743!23+1 is prime! (5502.1485s+0.6046s)(digits:152196) Michael Lau 04/2021 Primality testing 680008!23+1 [N-1, BLS] Running N-1 test using base 31543 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 530195-bit number Running N-1 test using base 31727 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 530195-bit number 680008!23+1 is prime! (79369.3376s+4.3931s)(digits:159605) Michael Lau 09/2022 Primality testing 694442!23+1 [N-1, BLS] Running N-1 test using base 32059 Generic modular reduction using generic reduction FFT length 56K on A 542364-bit number Running N-1 test using base 32381 Generic modular reduction using generic reduction FFT length 56K on A 542364-bit number Running N-1 test using base 32887 Generic modular reduction using generic reduction FFT length 56K on A 542364-bit number 694442!23+1 is prime! (5568.8519s+15.2351s)(digits:163268) Michael Lau 01/2023 Primality testing 712055!23+1 [N-1, BLS] Running N-1 test using base 23 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 557237-bit number Running N-1 test using base 34019 Generic modular reduction using generic reduction AMD K10 type-1 FFT length 56K, Pass1=224, Pass2=256 on A 557237-bit number 712055!23+1 is prime! (2920.7975s+0.6817s)(digits:167745) Michael Lau 06/2023 Primality testing 734847!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 33629 734847!23+1 is prime! (392.8507s+0.0759s)(digits:173552) MO 06/2024 Primality testing 764045!23+1 [N-1, BLS] Running N-1 test using base 34883 Running N-1 test using base 35527 764045!23+1 is prime! (507.8201s+0.0866s)(digits:181010) MO 06/2024 Primality testing 827839!23+1 [N-1, BLS] Running N-1 test using base 35999 Running N-1 test using base 36011 827839!23+1 is prime! (683.0983s+0.1291s)(digits:197376) MO 06/2024 Primality testing 835027!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 38053 835027!23+1 is prime! (582.6478s+0.1052s)(digits:199227) MO 06/2024 Primality testing 871627!23+1 [N-1, BLS] Running N-1 test using base 39679 Running N-1 test using base 39863 871627!23+1 is prime! (714.5152s+0.1119s)(digits:208665) MO 06/2024 Primality testing 905190!23+1 [N-1, BLS] Running N-1 test using base 41467 905190!23+1 is prime! (375.7910s+0.1320s)(digits:217345) MO 06/2024 Primality testing 918983!23+1 [N-1, BLS] Running N-1 test using base 23 918983!23+1 is prime! (252.8872s+0.1195s)(digits:220919) MO 06/2024 Primality testing 923557!23+1 [N-1, BLS] Running N-1 test using base 42719 Running N-1 test using base 43133 923557!23+1 is prime! (809.5021s+0.1243s)(digits:222106) MO 06/2024 Primality testing 964975!23+1 [N-1, BLS] Running N-1 test using base 44587 964975!23+1 is prime! (396.0590s+0.1398s)(digits:232866) MO 06/2024 Primality testing 965958!23+1 [N-1, BLS] Running N-1 test using base 23 965958!23+1 is prime! (298.0902s+0.1440s)(digits:233121) MO 06/2024 Primality testing 982252!23+1 [N-1, BLS] Running N-1 test using base 45319 982252!23+1 is prime! (399.9297s+0.1382s)(digits:237364) MO 06/2024 Primality testing 1008225!23+1 [N-1, BLS] Running N-1 test using base 46049 1008225!23+1 is prime! (462.4916s+0.1497s)(digits:244137) MO 06/2024 Primality testing 1027752!23+1 [N-1, BLS] Running N-1 test using base 23 Running N-1 test using base 47521 Running N-1 test using base 47843 1027752!23+1 is prime! (1438.1128s+0.1572s)(digits:249237) MO 06/2024 Primality testing 1090821!23+1 [N-1, BLS] Running N-1 test using base 47431 1090821!23+1 is prime! (549.9824s+0.1782s)(digits:265758) MO 06/2024 Primality testing 1158190!23+1 [N-1, BLS] Running N-1 test using base 52691 Running N-1 test using base 52967 1158190!23+1 is prime! (1144.1288s+0.2013s)(digits:283482) MO 06/2024