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)DigitsDiscovererDate of discoveryNotes
Φ1523(3527)5400Bernardo BoncompagniOct 12, 2009 
Φ1493(4146)5398Bernardo BoncompagniNov 23, 2009 
Φ1699(1498)5393Bernardo BoncompagniJan 9, 2010 
Φ1901(687)5391Bernardo BoncompagniJan 1, 2010 
Φ1471(4620)5388Bernardo BoncompagniNov 16, 2009 
Φ1523(3464)5388Bernardo BoncompagniOct 12, 2009 
Φ1433(5729)5382Bernardo BoncompagniNov 10, 2009 
Φ1447(5246)5379Bernardo BoncompagniNov 12, 2009 
Φ1663(1722)5379Bernardo BoncompagniJan 9, 2010 
Φ1613(2165)5377Bernardo BoncompagniDec 16, 2009 
Φ1499(3864)5374Bernardo BoncompagniNov 23, 2009 
Φ1447(5203)5374Bernardo BoncompagniNov 12, 2009 
Φ1409(6536)5372Bernardo BoncompagniNov 9, 2009 
Φ1451(5047)5370Bernardo BoncompagniNov 13, 2009 
Φ1583(2454)5363Bernardo BoncompagniDec 9, 2009 
Φ1447(5099)5362Bernardo BoncompagniNov 12, 2009 
Φ1583(2446)5361Bernardo BoncompagniDec 9, 2009 
Φ1579(2494)5361Bernardo BoncompagniDec 9, 2009 
Φ1753(1144)5359Bernardo BoncompagniDec 17, 2009 
Φ1787(1001)5359Bernardo BoncompagniJan 9, 2010 
Φ1493(3896)5358Bernardo BoncompagniNov 23, 2009 
Φ2137(322)5357Bernardo BoncompagniJan 4, 2010 
Φ1753(1141)5357Bernardo BoncompagniDec 17, 2009 
Φ1511(3499)5352Bernardo BoncompagniOct 12, 2009 
Φ1453(4758)5340Bernardo BoncompagniNov 16, 2009 
Φ1447(4922)5339Bernardo BoncompagniNov 12, 2009 
Φ1697(1400)5336Bernardo BoncompagniJan 9, 2010 
Φ1429(5426)5333Bernardo BoncompagniNov 9, 2009 
Φ1867(720)5332Bernardo BoncompagniJan 1, 2010 
Φ1733(1198)5332Bernardo BoncompagniDec 10, 2009 
Φ1423(5559)5326Bernardo BoncompagniNov 9, 2009 
Φ1549(2728)5319Bernardo BoncompagniNov 27, 2009 
Φ1759(1058)5318Bernardo BoncompagniDec 21, 2009 
Φ1399(6301)5312Bernardo BoncompagniNov 6, 2009 
Φ1613(1965)5309Bernardo BoncompagniDec 16, 2009 
Φ2099(337)5303Bernardo BoncompagniJan 4, 2010 
Φ1553(2608)5303Bernardo BoncompagniDec 3, 2009 
Φ1453(4480)5302Bernardo BoncompagniNov 13, 2009 
Φ1381(6860)5295Bernardo BoncompagniNov 5, 2009 
Φ1721(1192)5292Bernardo BoncompagniDec 7, 2009 
Φ1453(4391)5290Bernardo BoncompagniNov 13, 2009 
Φ1619(1856)5289Bernardo BoncompagniDec 17, 2009 
Φ1607(1962)5289Bernardo BoncompagniDec 14, 2009 
Φ1559(2451)5281Bernardo BoncompagniDec 4, 2009 
Φ2203(248)5273Bernardo BoncompagniJan 5, 2010 
Φ1453(4270)5272Bernardo BoncompagniNov 13, 2009 
Φ1699(1269)5270Bernardo BoncompagniJan 9, 2010 
Φ1567(2293)5263Bernardo BoncompagniDec 7, 2009 
Φ1439(4568)5263Bernardo BoncompagniNov 11, 2009 
Φ1613(1831)5260Bernardo BoncompagniDec 16, 2009 
Φ1531(2737)5260Bernardo BoncompagniNov 24, 2009 
Φ1399(5777)5259Bernardo BoncompagniNov 6, 2009 
Φ1439(4495)5253Bernardo BoncompagniNov 11, 2009 
Φ1559(2341)5250Bernardo BoncompagniDec 4, 2009 
Φ1579(2119)5249Bernardo BoncompagniDec 9, 2009 
Φ1567(2223)5242Bernardo BoncompagniDec 7, 2009 
Φ1373(6496)5231Bernardo BoncompagniNov 4, 2009 
Φ2539(115)5231Bernardo BoncompagniJan 8, 2010 
Φ1433(4467)5227Bernardo BoncompagniNov 10, 2009 
Φ1907(549)5222Bernardo BoncompagniJan 2, 2010 
Φ1399(5428)5222Bernardo BoncompagniNov 6, 2009 
Φ1373(6393)5222Bernardo BoncompagniNov 4, 2009 
Φ1367(6548)5213Bernardo BoncompagniNov 3, 2009 
Φ1361(6778)5211Bernardo BoncompagniNov 2, 2009 
Φ1789(818)5209Bernardo BoncompagniJan 12, 2010 
Φ1663(1356)5206Bernardo BoncompagniJan 9, 2010 
Φ1429(4354)5197Bernardo BoncompagniNov 9, 2009 
Φ1667(1307)5192Bernardo BoncompagniJan 9, 2010 
Φ1483(3174)5190Bernardo BoncompagniNov 18, 2009 
Φ1427(4349)5189Bernardo BoncompagniNov 9, 2009 
Φ1613(1639)5182Bernardo BoncompagniDec 15, 2009 
Φ1427(4288)5180Bernardo BoncompagniNov 9, 2009 
Φ1373(5949)5179Bernardo BoncompagniNov 4, 2009 
Φ1493(2953)5178Bernardo BoncompagniNov 23, 2009 
Φ1367(6155)5177Bernardo BoncompagniNov 3, 2009 
Φ1447(3786)5175Bernardo BoncompagniNov 12, 2009 
Φ1423(4292)5166Bernardo BoncompagniNov 9, 2009 
Φ2503(116)5166Bernardo BoncompagniJan 8, 2010 
Φ2089(297)5164Bernardo BoncompagniJan 4, 2010 
Φ1627(1493)5162Bernardo BoncompagniDec 21, 2009 
Φ1487(2959)5159Bernardo BoncompagniNov 19, 2009 
Φ1543(2206)5156Bernardo BoncompagniNov 25, 2009 
Φ1489(2901)5153Bernardo BoncompagniNov 20, 2009 
Φ1433(3947)5150Bernardo BoncompagniNov 10, 2009 
Φ1459(3388)5147Bernardo BoncompagniNov 16, 2009 
Φ1399(4798)5147Bernardo BoncompagniNov 6, 2009 
Φ1381(5309)5141Bernardo BoncompagniNov 5, 2009 
Φ1459(3346)5139Bernardo BoncompagniNov 16, 2009 
Φ1559(1973)5134Bernardo BoncompagniDec 4, 2009 
Φ1993(375)5128Bernardo BoncompagniJan 3, 2010 
Φ1571(1835)5124Bernardo BoncompagniDec 7, 2009 
Φ1361(5775)5116Bernardo BoncompagniNov 2, 2009 
Φ1553(1966)5112Bernardo BoncompagniDec 3, 2009 
Φ1523(2268)5108Bernardo BoncompagniOct 12, 2009 
Φ1361(5606)5099Bernardo BoncompagniNov 2, 2009 
Φ1489(2650)5094Bernardo BoncompagniNov 20, 2009 
Φ1583(1646)5089Bernardo BoncompagniDec 9, 2009 
Φ1459(3078)5086Bernardo BoncompagniNov 16, 2009 
Φ1723(897)5085Bernardo BoncompagniDec 9, 2009 
Φ1367(5246)5082Bernardo BoncompagniNov 3, 2009 
Φ1559(1809)5076Bernardo BoncompagniDec 4, 2009 
Φ1433(3495)5075Bernardo BoncompagniNov 10, 2009 
Φ1877(506)5073Bernardo BoncompagniJan 1, 2010 
Φ2767(68)5069Bernardo BoncompagniJan 13, 2010 
Φ1373(4933)5067Bernardo BoncompagniNov 4, 2009 
Φ1531(2034)5062Bernardo BoncompagniNov 24, 2009 
Φ1531(2024)5059Bernardo BoncompagniNov 24, 2009 
Φ1579(1599)5056Bernardo BoncompagniDec 9, 2009 
Φ1453(3030)5056Bernardo BoncompagniNov 13, 2009 
Φ1447(3102)5049Bernardo BoncompagniNov 12, 2009 
Φ1459(2878)5044Bernardo BoncompagniNov 16, 2009 
Φ1579(1563)5041Bernardo BoncompagniDec 9, 2009 
Φ1489(2429)5038Bernardo BoncompagniNov 20, 2009 
Φ1709(889)5037Bernardo BoncompagniDec 3, 2009 
Φ1327(6278)5036Bernardo BoncompagniNov 2, 2009 
Φ1499(2295)5035Bernardo BoncompagniNov 23, 2009 
Φ2477(108)5035Bernardo BoncompagniJan 8, 2010 
Φ1319(6570)5032Bernardo BoncompagniNov 2, 2009 
Φ1399(3941)5027Bernardo BoncompagniNov 6, 2009 
Φ1423(3409)5024Bernardo BoncompagniNov 9, 2009 
Φ1549(1746)5019Bernardo BoncompagniNov 27, 2009 
Φ1483(2386)5006Bernardo BoncompagniNov 17, 2009 
Φ1373(4394)4999Bernardo BoncompagniNov 4, 2009 
Φ1447(2786)4982Bernardo BoncompagniNov 12, 2009 
Φ1447(2747)4973Bernardo BoncompagniNov 12, 2009 
Φ1709(809)4967Bernardo BoncompagniDec 3, 2009 
Φ1307(6333)4965Bernardo BoncompagniOct 30, 2009 
Φ1783(611)4965Bernardo BoncompagniJan 7, 2009 
Φ1361(4370)4952Bernardo BoncompagniNov 2, 2009 
Φ1361(4361)4950Bernardo BoncompagniNov 2, 2009 
Φ1579(1363)4947Bernardo BoncompagniDec 9, 2009 
Φ1549(1563)4945Bernardo BoncompagniNov 26, 2009 
Φ1493(2056)4944Bernardo BoncompagniNov 23, 2009 
Φ1613(1162)4942Bernardo BoncompagniDec 15, 2009 
Φ1601(1214)4935Bernardo BoncompagniDec 11, 2009 
Φ2053(249)4918Bernardo BoncompagniJan 3, 2010 
Φ1543(1546)4918Bernardo BoncompagniNov 25, 2009 
Φ1373(3787)4910Bernardo BoncompagniNov 4, 2009 
Φ1367(3922)4909Bernardo BoncompagniNov 3, 2009 
Φ1861(435)4908Bernardo BoncompagniJan 1, 2010 
Φ1559(1410)4907Bernardo BoncompagniDec 4, 2009 
Φ1303(5850)4905Bernardo BoncompagniOct 29, 2009 
Φ1307(5636)4899Bernardo BoncompagniOct 30, 2009 
Φ1489(1957)4898Bernardo BoncompagniNov 20, 2009 
Φ1447(2430)4896Bernardo BoncompagniNov 12, 2009 
Φ2203(167)4895Bernardo BoncompagniJan 5, 2010 
Φ1471(2112)4888Bernardo BoncompagniNov 16, 2009 
Φ1699(751)4883Bernardo BoncompagniJan 9, 2010 
Φ1307(5424)4878Bernardo BoncompagniOct 30, 2009 
Φ1487(1894)4871Bernardo BoncompagniNov 19, 2009 
Φ1483(1930)4870Bernardo BoncompagniNov 17, 2009 
Φ1307(5275)4862Bernardo BoncompagniOct 30, 2009 
Φ1399(2981)4858Bernardo BoncompagniNov 5, 2009 
Φ1609(1046)4856Bernardo BoncompagniDec 14, 2009 
Φ2011(259)4851Bernardo BoncompagniJan 3, 2010 
Φ1367(3536)4848Bernardo BoncompagniNov 3, 2009 
Φ1277(6229)4842Bernardo BoncompagniOct 26, 2009 
Φ1277(6148)4835Bernardo BoncompagniOct 26, 2009 
Φ1289(5600)4828Bernardo BoncompagniOct 26, 2009 
Φ1567(1203)4824Bernardo BoncompagniDec 7, 2009 
Φ1447(2159)4822Bernardo BoncompagniNov 11, 2009 
Φ1283(5735)4819Bernardo BoncompagniOct 26, 2009 
Φ1867(381)4817Bernardo BoncompagniJan 1, 2010 
Φ1289(5469)4815Bernardo BoncompagniOct 26, 2009 
Φ1277(5876)4810Bernardo BoncompagniOct 26, 2009 
Φ1487(1714)4806Bernardo BoncompagniNov 19, 2009 
Φ1291(5244)4799Bernardo BoncompagniOct 26, 2009 
Φ1277(5756)4798Bernardo BoncompagniOct 26, 2009 
Φ1471(1828)4796Bernardo BoncompagniNov 16, 2009 
Φ1543(1283)4793Bernardo BoncompagniNov 25, 2009 
Φ1399(2655)4787Bernardo BoncompagniNov 5, 2009 
Φ1459(1912)4785Bernardo BoncompagniNov 16, 2009 
Φ1627(867)4778Bernardo BoncompagniDec 21, 2009 
Φ1319(4199)4776Bernardo BoncompagniNov 2, 2009 
Φ1613(910)4770Bernardo BoncompagniDec 15, 2009 
Φ1319(4149)4769Bernardo BoncompagniNov 2, 2009 
Φ1289(5028)4768Bernardo BoncompagniOct 26, 2009 
Φ1697(646)4767Bernardo BoncompagniJan 9, 2010 
Φ1307(4459)4766Bernardo BoncompagniOct 30, 2009 
Φ1277(5422)4765Bernardo BoncompagniOct 26, 2009 
Φ1579(1037)4759Bernardo BoncompagniDec 7, 2009 
Φ1373(2940)4759Bernardo BoncompagniNov 3, 2009 
Φ1709(604)4751Bernardo BoncompagniDec 3, 2009 
Φ1597(944)4749Bernardo BoncompagniDec 10, 2009 
Φ1319(3997)4748Bernardo BoncompagniNov 2, 2009 
Φ1427(2118)4743Bernardo BoncompagniNov 9, 2009 
Φ1319(3915)4736Bernardo BoncompagniNov 2, 2009 
Φ1637(779)4731Bernardo BoncompagniDec 23, 2009 
Φ1249(6148)4729Bernardo BoncompagniOct 22, 2009 
Φ1297(4404)4723Bernardo BoncompagniOct 27, 2009 
Φ1511(1319)4712Bernardo BoncompagniOct 12, 2009 
Φ1429(1984)4709Bernardo BoncompagniNov 9, 2009 
Φ1259(5534)4709Bernardo BoncompagniOct 23, 2009 
Φ1259(5495)4705Bernardo BoncompagniOct 23, 2009 
Φ1327(3523)4704Bernardo BoncompagniNov 2, 2009 
Φ1399(2306)4702Bernardo BoncompagniNov 5, 2009 
Φ1283(4611)4697Bernardo BoncompagniOct 26, 2009 
Φ1327(3471)4695Bernardo BoncompagniNov 2, 2009 
Φ1303(4020)4693Bernardo BoncompagniOct 29, 2009 
Φ1699(580)4693Bernardo BoncompagniJan 9, 2010 
Φ1291(4325)4691Bernardo BoncompagniOct 26, 2009 
Φ1399(2259)4689Bernardo BoncompagniNov 5, 2009 
Φ1307(3838)4681Bernardo BoncompagniOct 30, 2009 
Φ1723(521)4679Bernardo BoncompagniDec 9, 2009 
Φ1663(639)4663Bernardo BoncompagniJan 9, 2010 
Φ1381(2374)4659Bernardo BoncompagniNov 4, 2009 
Φ1609(788)4658Bernardo BoncompagniDec 14, 2009 
Φ2243(119)4654Bernardo BoncompagniJan 6, 2010 
Φ1249(5327)4651Bernardo BoncompagniOct 22, 2009 
Φ1249(5326)4651Bernardo BoncompagniOct 22, 2009 
Φ1423(1855)4648Bernardo BoncompagniNov 9, 2009 
Φ1283(4215)4647Bernardo BoncompagniOct 26, 2009 
Φ1277(4368)4646Bernardo BoncompagniOct 26, 2009 
Φ1499(1217)4622Bernardo BoncompagniNov 23, 2009 
Φ1543(988)4618Bernardo BoncompagniNov 25, 2009 
Φ1583(815)4606Bernardo BoncompagniDec 9, 2009 
Φ1303(3372)4594Bernardo BoncompagniOct 29, 2009 
Φ1373(2225)4593Bernardo BoncompagniNov 3, 2009 
Φ1291(3598)4588Bernardo BoncompagniOct 26, 2009 
Φ1459(1399)4587Bernardo BoncompagniNov 16, 2009 
Φ1229(5429)4587Bernardo BoncompagniOct 20, 2009 
Φ1471(1314)4585Bernardo BoncompagniNov 16, 2009 
Φ1669(556)4579Bernardo BoncompagniJan 9, 2010 
Φ2087(155)4570Bernardo BoncompagniJan 3, 2010 
Φ1423(1630)4568Bernardo BoncompagniNov 9, 2009 
Φ1307(3138)4567Bernardo BoncompagniOct 30, 2009 
Φ1327(2762)4564Bernardo BoncompagniNov 2, 2009 
Φ1259(4238)4563Bernardo BoncompagniOct 23, 2009 
Φ1213(5797)4562Bernardo BoncompagniOct 19, 2009 
Φ1259(4205)4559Bernardo BoncompagniOct 23, 2009 
Φ1367(2079)4533Bernardo BoncompagniNov 2, 2009 
Φ1213(5466)4531Bernardo BoncompagniOct 19, 2009 
Φ1889(250)4528Bernardo BoncompagniJan 1, 2010 
Φ1301(3004)4522Bernardo BoncompagniOct 28, 2009 
Φ2719(46)4520Bernardo BoncompagniJan 12, 2010 
Φ1289(3213)4517Bernardo BoncompagniOct 26, 2009 
Φ1249(4137)4514Bernardo BoncompagniOct 22, 2009 
Φ1399(1685)4511Bernardo BoncompagniNov 5, 2009 
Φ1307(2839)4510Bernardo BoncompagniOct 30, 2009 
Φ1399(1673)4507Bernardo BoncompagniNov 5, 2009 
Φ1279(3354)4506Bernardo BoncompagniOct 26, 2009 
Φ1259(3818)4506Bernardo BoncompagniOct 23, 2009 
Φ1231(4581)4503Bernardo BoncompagniOct 21, 2009 
Φ1613(615)4496Bernardo BoncompagniDec 15, 2009 
Φ1709(428)4495Bernardo BoncompagniDec 3, 2009 
Φ1597(653)4493Bernardo BoncompagniDec 10, 2009 
Φ1483(1063)4486Bernardo BoncompagniNov 17, 2009 
Φ1291(2959)4478Bernardo BoncompagniOct 26, 2009 
Φ1231(4362)4477Bernardo BoncompagniOct 21, 2009 
Φ1217(4767)4473Bernardo BoncompagniOct 20, 2009 
Φ1223(4550)4471Bernardo BoncompagniOct 20, 2009 
Φ1217(4742)4470Bernardo BoncompagniOct 19, 2009 
Φ1307(2622)4465Bernardo BoncompagniOct 30, 2009 
Φ1667(478)4464Bernardo BoncompagniJan 9, 2010 
Φ1283(3002)4459Bernardo BoncompagniOct 26, 2009 
Φ1237(4004)4453Bernardo BoncompagniOct 21, 2009 
Φ1699(419)4453Bernardo BoncompagniJan 9, 2010 
Φ1259(3418)4446Bernardo BoncompagniOct 23, 2009 
Φ1277(3026)4442Bernardo BoncompagniOct 26, 2009 
Φ1289(2755)4431Bernardo BoncompagniOct 26, 2009 
Φ1229(4034)4428Bernardo BoncompagniOct 20, 2009 
Φ1187(5414)4428Bernardo BoncompagniOct 19, 2009 
Φ1277(2901)4419Bernardo BoncompagniOct 26, 2009 
Φ1217(4295)4418Bernardo BoncompagniOct 19, 2009 
Φ1609(552)4410Bernardo BoncompagniDec 14, 2009 
Φ1583(610)4407Bernardo BoncompagniDec 9, 2009 
Φ1609(546)4402Bernardo BoncompagniDec 14, 2009 
Φ1361(1702)4395Bernardo BoncompagniNov 2, 2009 
Φ1303(2345)4388Bernardo BoncompagniOct 29, 2009 
Φ1181(5199)4385Bernardo BoncompagniOct 19, 2009 
Φ1319(2105)4381Bernardo BoncompagniOct 30, 2009 
Φ2371(69)4359Bernardo BoncompagniJan 7, 2010 
Φ1699(368)4357Bernardo BoncompagniJan 9, 2010 
Φ1171(5247)4353Bernardo BoncompagniOct 16, 2009 
Φ1523(719)4348Bernardo BoncompagniOct 12, 2009 
Φ1163(5507)4347Bernardo BoncompagniOct 15, 2009 
Φ1237(3280)4346Bernardo BoncompagniOct 21, 2009 
Φ1187(4605)4345Bernardo BoncompagniOct 19, 2009 
Φ1181(4740)4338Bernardo BoncompagniOct 16, 2009 
Φ1409(1199)4335Bernardo BoncompagniNov 6, 2009 
Φ1303(2134)4335Bernardo BoncompagniOct 29, 2009 
Φ1171(5061)4334Bernardo BoncompagniOct 16, 2009 
Φ1297(2201)4333Bernardo BoncompagniOct 27, 2009 
Φ3181(23)4331Bernardo BoncompagniJan 20, 2010 
Φ1223(3476)4328Bernardo BoncompagniOct 20, 2009 
Φ1153(5694)4327Bernardo BoncompagniOct 15, 2009 
Φ1499(767)4322Bernardo BoncompagniNov 23, 2009 
Φ1187(4369)4318Bernardo BoncompagniOct 19, 2009 
Φ1619(464)4315Bernardo BoncompagniDec 17, 2009 
Φ1913(180)4313Bernardo BoncompagniJan 2, 2010 
Φ1171(4831)4311Bernardo BoncompagniOct 16, 2009 
Φ1181(4468)4308Bernardo BoncompagniOct 16, 2009 
Φ1223(3342)4307Bernardo BoncompagniOct 20, 2009 
Φ1231(3140)4302Bernardo BoncompagniOct 21, 2009 


This page was last updated on October 27, 2011.