Generalized repunit probable primes
In Chris Caldwell's sense, a legal generalized repunit prime is a prime number of the form Φp(b) = (bp-1)/(b-1) such that 3 ≤ b ≤ 5p, b ≠ 10, p prime.
Andy Steward maintained a list of all known legal generalized repunit primes; unfortunately, the project is now suspended and he is not accepting submissions any more.
Additionally, Henri and Renaud Lifchitz maintain a list of all known probable primes with more than 10,000 digits.
The list below shows all known (to me) probable primes not listed in the above mentioned sites. Feel free to contribute with new probable primes.
Show numbers with [ ≤ 4300 | ≤ 5400 | ≤ 6700 | ≤ 7700 | ≤ 8500 | > 8500 ] digits
| Φp(b) | Digits | Discoverer | Date of discovery | Notes |
| Φ1721(314) | 4295 | Bernardo Boncompagni | Dec 7, 2009 | |
| Φ1381(1287) | 4292 | Bernardo Boncompagni | Nov 4, 2009 | |
| Φ1181(4319) | 4290 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1283(2207) | 4287 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1187(4112) | 4287 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1223(3197) | 4283 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ1277(2247) | 4277 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1237(2849) | 4271 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1217(3251) | 4271 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1217(3248) | 4271 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1193(3783) | 4265 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1153(4759) | 4237 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1447(849) | 4236 | Bernardo Boncompagni | Nov 11, 2009 | |
| Φ1237(2667) | 4235 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1163(4355) | 4229 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1153(4641) | 4224 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1277(2037) | 4223 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1223(2840) | 4220 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ1291(1857) | 4217 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1831(199) | 4207 | Bernardo Boncompagni | Dec 31, 2009 | |
| Φ1187(3524) | 4207 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1213(2939) | 4204 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1279(1943) | 4203 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1213(2918) | 4200 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1249(2302) | 4196 | Bernardo Boncompagni | Oct 22, 2009 | |
| Φ1151(4410) | 4192 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ1571(467) | 4191 | Bernardo Boncompagni | Dec 7, 2009 | |
| Φ1181(3556) | 4191 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1151(4395) | 4190 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ1277(1905) | 4186 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1429(845) | 4180 | Bernardo Boncompagni | Nov 9, 2009 | |
| Φ1129(5064) | 4179 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ2389(56) | 4175 | Bernardo Boncompagni | Jan 7, 2010 | |
| Φ1187(3275) | 4170 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1129(4957) | 4169 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ1361(1155) | 4166 | Bernardo Boncompagni | Nov 2, 2009 | |
| Φ1123(5160) | 4166 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1399(935) | 4154 | Bernardo Boncompagni | Nov 5, 2009 | |
| Φ1229(2400) | 4151 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ1663(314) | 4150 | Bernardo Boncompagni | Jan 9, 2010 | |
| Φ1283(1706) | 4144 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1489(603) | 4138 | Bernardo Boncompagni | Nov 20, 2009 | |
| Φ1117(5078) | 4136 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1613(364) | 4129 | Bernardo Boncompagni | Dec 15, 2009 | |
| Φ1163(3574) | 4129 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1231(2224) | 4117 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1213(2479) | 4114 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ2333(58) | 4113 | Bernardo Boncompagni | Jan 7, 2010 | |
| Φ1163(3419) | 4107 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1283(1587) | 4104 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1171(3206) | 4102 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1303(1406) | 4099 | Bernardo Boncompagni | Oct 29, 2009 | |
| Φ1237(2063) | 4097 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1103(5130) | 4089 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ3671(13) | 4089 | Bernardo Boncompagni | Feb 8, 2010 | |
| Φ1283(1535) | 4085 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1103(5071) | 4084 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1163(3257) | 4082 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1103(5026) | 4079 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1093(5425) | 4078 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1151(3491) | 4075 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ2111(85) | 4072 | Bernardo Boncompagni | Jan 4, 2010 | |
| Φ1249(1822) | 4070 | Bernardo Boncompagni | Oct 22, 2009 | |
| Φ1091(5417) | 4070 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1109(4618) | 4061 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1367(924) | 4052 | Bernardo Boncompagni | Nov 2, 2009 | |
| Φ1103(4737) | 4051 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ2437(46) | 4051 | Bernardo Boncompagni | Jan 8, 2010 | |
| Φ1091(5173) | 4048 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1163(3018) | 4044 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1499(498) | 4041 | Bernardo Boncompagni | Nov 23, 2009 | |
| Φ1523(450) | 4039 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1471(558) | 4038 | Bernardo Boncompagni | Nov 16, 2009 | |
| Φ1129(3771) | 4035 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ1187(2477) | 4026 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1289(1319) | 4019 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1097(4587) | 4014 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1103(4276) | 4002 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1109(4046) | 3997 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1301(1158) | 3983 | Bernardo Boncompagni | Oct 28, 2009 | |
| Φ1103(4075) | 3979 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1097(4259) | 3978 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1097(4188) | 3970 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1093(4285) | 3967 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1087(4413) | 3959 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1097(4084) | 3958 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1069(4958) | 3947 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ2267(55) | 3944 | Bernardo Boncompagni | Jan 6, 2010 | |
| Φ1237(1548) | 3943 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1117(3409) | 3943 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1571(320) | 3934 | Bernardo Boncompagni | Dec 7, 2009 | |
| Φ1373(734) | 3932 | Bernardo Boncompagni | Nov 3, 2009 | |
| Φ1063(5035) | 3932 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1483(446) | 3927 | Bernardo Boncompagni | Nov 17, 2009 | |
| Φ1289(1110) | 3923 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1109(3440) | 3919 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1097(3744) | 3917 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1117(3204) | 3913 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1213(1668) | 3906 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1193(1862) | 3898 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1061(4701) | 3893 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1151(2403) | 3888 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ1259(1229) | 3887 | Bernardo Boncompagni | Oct 23, 2009 | |
| Φ1361(717) | 3884 | Bernardo Boncompagni | Nov 2, 2009 | |
| Φ1549(320) | 3878 | Bernardo Boncompagni | Nov 26, 2009 | |
| Φ1087(3722) | 3878 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1303(950) | 3877 | Bernardo Boncompagni | Oct 29, 2009 | |
| Φ1061(4500) | 3873 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1187(1837) | 3872 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1087(3674) | 3872 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1367(679) | 3869 | Bernardo Boncompagni | Nov 2, 2009 | |
| Φ1091(3489) | 3862 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1279(1039) | 3856 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1373(639) | 3850 | Bernardo Boncompagni | Nov 3, 2009 | |
| Φ1039(5031) | 3843 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1367(638) | 3832 | Bernardo Boncompagni | Nov 2, 2009 | |
| Φ1163(1983) | 3832 | Bernardo Boncompagni | Oct 15, 2009 | |
| Φ1087(3310) | 3823 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1031(5120) | 3821 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ1039(4738) | 3816 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1123(2479) | 3809 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1699(175) | 3809 | Bernardo Boncompagni | Jan 9, 2010 | |
| Φ1049(4260) | 3804 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1237(1157) | 3787 | Bernardo Boncompagni | Oct 21, 2009 | |
| Φ1453(403) | 3783 | Bernardo Boncompagni | Nov 13, 2009 | |
| Φ1039(4410) | 3783 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1109(2561) | 3777 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1193(1471) | 3776 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1039(4208) | 3762 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1213(1242) | 3751 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1181(1485) | 3743 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ2203(50) | 3742 | Bernardo Boncompagni | Jan 5, 2010 | |
| Φ1439(399) | 3741 | Bernardo Boncompagni | Nov 11, 2009 | |
| Φ1373(532) | 3740 | Bernardo Boncompagni | Nov 3, 2009 | |
| Φ1123(2125) | 3734 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1049(3646) | 3733 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1091(2644) | 3731 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1051(3551) | 3728 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1091(2623) | 3727 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1087(2694) | 3726 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1123(2083) | 3724 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1307(697) | 3714 | Bernardo Boncompagni | Oct 29, 2009 | |
| Φ1171(1490) | 3713 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1013(4650) | 3712 | Bernardo Boncompagni | Oct 7, 2009 | |
| Φ1031(3934) | 3703 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ1283(768) | 3700 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ1087(2533) | 3697 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1061(3056) | 3695 | Bernardo Boncompagni | Oct 9, 2009 | |
| Φ1721(140) | 3692 | Bernardo Boncompagni | Dec 7, 2009 | |
| Φ1231(1002) | 3692 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ1949(78) | 3686 | Bernardo Boncompagni | Jan 3, 2010 | |
| Φ1583(208) | 3668 | Bernardo Boncompagni | Dec 9, 2009 | |
| Φ1181(1261) | 3659 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1013(4101) | 3657 | Bernardo Boncompagni | Oct 7, 2009 | |
| Φ1063(2729) | 3650 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1069(2602) | 3648 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1069(2586) | 3645 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1231(909) | 3640 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ2083(56) | 3640 | Bernardo Boncompagni | Jan 3, 2010 | |
| Φ1039(3180) | 3636 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ1033(3323) | 3635 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ1091(2118) | 3626 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1637(163) | 3620 | Bernardo Boncompagni | Dec 23, 2009 | |
| Φ1153(1386) | 3620 | Bernardo Boncompagni | Oct 14, 2009 | |
| Φ997(4285) | 3618 | Bernardo Boncompagni | Oct 7, 2009 | |
| Φ1283(660) | 3615 | Bernardo Boncompagni | Oct 26, 2009 | |
| Φ983(4648) | 3602 | Bernardo Boncompagni | Oct 6, 2009 | |
| Φ1091(2004) | 3600 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ983(4478) | 3586 | Bernardo Boncompagni | Oct 6, 2009 | |
| Φ1091(1929) | 3582 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1031(2985) | 3580 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ1223(846) | 3578 | Bernardo Boncompagni | Oct 20, 2009 | |
| Φ1123(1525) | 3572 | Bernardo Boncompagni | Oct 13, 2009 | |
| Φ1193(984) | 3568 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1181(1046) | 3564 | Bernardo Boncompagni | Oct 16, 2009 | |
| Φ1097(1729) | 3549 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ1187(971) | 3543 | Bernardo Boncompagni | Oct 19, 2009 | |
| Φ1693(123) | 3537 | Bernardo Boncompagni | Jan 9, 2010 | |
| Φ1039(2544) | 3535 | Bernardo Boncompagni | Oct 8, 2009 | |
| Φ967(4548) | 3534 | Bernardo Boncompagni | Oct 5, 2009 | |
| Φ1789(94) | 3528 | Bernardo Boncompagni | Jan 12, 2010 | |
| Φ967(4467) | 3526 | Bernardo Boncompagni | Oct 5, 2009 | |
| Φ1087(1759) | 3525 | Bernardo Boncompagni | Oct 12, 2009 | |
| Φ977(4079) | 3524 | Bernardo Boncompagni | Oct 6, 2009 | |
| Φ1051(2251) | 3520 | Bernardo Boncompagni | Oct 9, 2009 | |
This page was last updated on October 27, 2011.