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
Φ1949(8960)7700Bernardo BoncompagniJan 3, 2010 
Φ1951(8856)7698Bernardo BoncompagniJan 3, 2010 
Φ2129(4127)7695Bernardo BoncompagniJan 4, 2010 
Φ1979(7642)7681Bernardo BoncompagniJan 3, 2010 
Φ2099(4553)7676Bernardo BoncompagniJan 4, 2010 
Φ1933(9360)7673Bernardo BoncompagniJan 2, 2010 
Φ2027(6110)7671Bernardo BoncompagniJan 3, 2010 
Φ1993(7047)7666Bernardo BoncompagniJan 3, 2010 
Φ2749(614)7662Bernardo BoncompagniJan 13, 2010 
Φ2243(2610)7661Bernardo BoncompagniJan 6, 2010 
Φ2137(3823)7653Bernardo BoncompagniJan 4, 2010 
Φ2273(2332)7652Bernardo BoncompagniJan 6, 2010 
Φ1997(6763)7645Bernardo BoncompagniJan 3, 2010 
Φ1949(8393)7644Bernardo BoncompagniJan 3, 2010 
Φ2141(3732)7644Bernardo BoncompagniJan 4, 2010 
Φ2099(4346)7633Bernardo BoncompagniJan 4, 2010 
Φ1999(6570)7628Bernardo BoncompagniJan 3, 2010 
Φ2003(6455)7628Bernardo BoncompagniJan 3, 2010 
Φ1949(8232)7628Bernardo BoncompagniJan 3, 2010 
Φ1951(8153)7628Bernardo BoncompagniJan 3, 2010 
Φ2347(1782)7627Bernardo BoncompagniJan 7, 2010 
Φ1949(8162)7621Bernardo BoncompagniJan 3, 2010 
Φ2027(5755)7618Bernardo BoncompagniJan 3, 2010 
Φ2143(3599)7618Bernardo BoncompagniJan 4, 2010 
Φ2377(1605)7617Bernardo BoncompagniJan 7, 2010 
Φ2089(4404)7609Bernardo BoncompagniJan 4, 2010 
Φ1979(6959)7601Bernardo BoncompagniJan 3, 2010 
Φ2153(3403)7601Bernardo BoncompagniJan 4, 2010 
Φ2131(3696)7600Bernardo BoncompagniJan 4, 2010 
Φ1997(6397)7597Bernardo BoncompagniJan 3, 2010 
Φ2129(3705)7595Bernardo BoncompagniJan 4, 2010 
Φ2131(3666)7592Bernardo BoncompagniJan 4, 2010 
Φ2207(2761)7591Bernardo BoncompagniJan 5, 2010 
Φ2309(1929)7583Bernardo BoncompagniJan 7, 2010 
Φ1999(6226)7581Bernardo BoncompagniJan 3, 2010 
Φ1907(9197)7555Bernardo BoncompagniJan 2, 2010 
Φ2939(372)7553Bernardo BoncompagniJan 16, 2010 
Φ1951(7467)7553Bernardo BoncompagniJan 3, 2010 
Φ1907(9149)7551Bernardo BoncompagniJan 2, 2010 
Φ2063(4543)7542Bernardo BoncompagniJan 3, 2010 
Φ2423(1297)7540Bernardo BoncompagniJan 8, 2010 
Φ1999(5906)7536Bernardo BoncompagniJan 3, 2010 
Φ3917(84)7536Bernardo BoncompagniFeb 17, 2010 
Φ2351(1602)7531Bernardo BoncompagniJan 7, 2010 
Φ2053(4673)7531Bernardo BoncompagniJan 3, 2010 
Φ3373(171)7530Bernardo BoncompagniJan 26, 2010 
Φ2179(2847)7524Bernardo BoncompagniJan 5, 2010 
Φ1951(7113)7512Bernardo BoncompagniJan 3, 2010 
Φ1907(8681)7507Bernardo BoncompagniJan 2, 2010 
Φ2311(1771)7504Bernardo BoncompagniJan 7, 2010 
Φ2131(3327)7502Bernardo BoncompagniJan 4, 2010 
Φ1949(7069)7499Bernardo BoncompagniJan 3, 2010 
Φ1913(8351)7499Bernardo BoncompagniJan 2, 2010 
Φ2087(3904)7492Bernardo BoncompagniJan 3, 2010 
Φ1973(6162)7474Bernardo BoncompagniJan 3, 2010 
Φ2731(546)7473Bernardo BoncompagniJan 13, 2010 
Φ2053(4364)7470Bernardo BoncompagniJan 3, 2010 
Φ2179(2684)7468Bernardo BoncompagniJan 5, 2010 
Φ2843(424)7467Bernardo BoncompagniJan 14, 2010 
Φ2393(1319)7464Bernardo BoncompagniJan 7, 2010 
Φ2447(1115)7454Bernardo BoncompagniJan 8, 2010 
Φ1877(9234)7440Bernardo BoncompagniJan 1, 2010 
Φ2473(1018)7436Bernardo BoncompagniJan 8, 2010 
Φ2027(4662)7433Bernardo BoncompagniJan 3, 2010 
Φ2011(4973)7431Bernardo BoncompagniJan 3, 2010 
Φ1879(9039)7430Bernardo BoncompagniJan 1, 2010 
Φ1999(5224)7429Bernardo BoncompagniJan 3, 2010 
Φ1997(5249)7426Bernardo BoncompagniJan 3, 2010 
Φ2081(3695)7421Bernardo BoncompagniJan 3, 2010 
Φ1997(5217)7420Bernardo BoncompagniJan 3, 2010 
Φ2083(3644)7416Bernardo BoncompagniJan 3, 2010 
Φ1877(8903)7410Bernardo BoncompagniJan 1, 2010 
Φ2153(2774)7410Bernardo BoncompagniJan 4, 2010 
Φ2069(3809)7406Bernardo BoncompagniJan 3, 2010 
Φ1907(7554)7392Bernardo BoncompagniJan 2, 2010 
Φ2069(3748)7391Bernardo BoncompagniJan 3, 2010 
Φ2029(4409)7391Bernardo BoncompagniJan 3, 2010 
Φ1877(8667)7388Bernardo BoncompagniJan 1, 2010 
Φ2423(1116)7382Bernardo BoncompagniJan 8, 2010 
Φ2053(3939)7378Bernardo BoncompagniJan 3, 2010 
Φ1907(7414)7377Bernardo BoncompagniJan 2, 2010 
Φ1867(8962)7376Bernardo BoncompagniJan 1, 2010 
Φ3389(150)7373Bernardo BoncompagniJan 26, 2010 
Φ1879(8375)7368Bernardo BoncompagniJan 1, 2010 
Φ1871(8645)7362Bernardo BoncompagniJan 1, 2010 
Φ1871(8625)7360Bernardo BoncompagniJan 1, 2010 
Φ1979(5220)7354Bernardo BoncompagniJan 3, 2010 
Φ2099(3166)7345Bernardo BoncompagniJan 4, 2010 
Φ2389(1187)7342Bernardo BoncompagniJan 7, 2010 
Φ1877(8173)7340Bernardo BoncompagniJan 1, 2010 
Φ1871(8357)7335Bernardo BoncompagniJan 1, 2010 
Φ1867(8438)7327Bernardo BoncompagniJan 1, 2010 
Φ2531(785)7325Bernardo BoncompagniJan 8, 2010 
Φ1979(5025)7321Bernardo BoncompagniJan 3, 2010 
Φ1951(5672)7320Bernardo BoncompagniJan 3, 2010 
Φ2017(4265)7318Bernardo BoncompagniJan 3, 2010 
Φ1861(8577)7317Bernardo BoncompagniJan 1, 2010 
Φ2003(4487)7312Bernardo BoncompagniJan 3, 2010 
Φ1997(4581)7308Bernardo BoncompagniJan 3, 2010 
Φ1861(8458)7305Bernardo BoncompagniJan 1, 2010 
Φ1999(4499)7299Bernardo BoncompagniJan 3, 2010 
Φ1879(7637)7293Bernardo BoncompagniJan 1, 2010 
Φ1997(4496)7292Bernardo BoncompagniJan 3, 2010 
Φ1877(7695)7291Bernardo BoncompagniJan 1, 2010 
Φ1879(7600)7289Bernardo BoncompagniJan 1, 2010 
Φ1913(6470)7287Bernardo BoncompagniJan 2, 2010 
Φ2243(1774)7285Bernardo BoncompagniJan 6, 2010 
Φ3251(174)7282Bernardo BoncompagniJan 21, 2010 
Φ1907(6598)7280Bernardo BoncompagniJan 2, 2010 
Φ2741(453)7278Bernardo BoncompagniJan 13, 2010 
Φ2083(3109)7272Bernardo BoncompagniJan 3, 2010 
Φ1999(4357)7272Bernardo BoncompagniJan 3, 2010 
Φ2081(3109)7265Bernardo BoncompagniJan 3, 2010 
Φ1907(6467)7264Bernardo BoncompagniJan 2, 2010 
Φ1871(7625)7260Bernardo BoncompagniJan 1, 2010 
Φ4229(52)7256Bernardo BoncompagniMar 28, 2010 
Φ2143(2420)7249Bernardo BoncompagniJan 4, 2010 
Φ3727(88)7246Bernardo BoncompagniFeb 11, 2010 
Φ1907(6227)7232Bernardo BoncompagniJan 2, 2010 
Φ1907(6217)7231Bernardo BoncompagniJan 2, 2010 
Φ4229(51)7220Bernardo BoncompagniMar 28, 2010 
Φ1871(7256)7220Bernardo BoncompagniJan 1, 2010 
Φ2087(2885)7218Bernardo BoncompagniJan 3, 2010 
Φ1873(7174)7218Bernardo BoncompagniJan 1, 2010 
Φ2203(1893)7217Bernardo BoncompagniJan 5, 2010 
Φ2617(573)7216Bernardo BoncompagniJan 10, 2010 
Φ2663(513)7215Bernardo BoncompagniJan 12, 2010 
Φ1867(7340)7214Bernardo BoncompagniJan 1, 2010 
Φ2111(2620)7213Bernardo BoncompagniJan 4, 2010 
Φ2897(309)7211Bernardo BoncompagniJan 15, 2010 
Φ2683(481)7194Bernardo BoncompagniJan 12, 2010 
Φ2557(650)7190Bernardo BoncompagniJan 9, 2010 
Φ2027(3525)7187Bernardo BoncompagniJan 3, 2010 
Φ2297(1348)7186Bernardo BoncompagniJan 7, 2010 
Φ1861(7287)7185Bernardo BoncompagniJan 1, 2010 
Φ1979(4197)7167Bernardo BoncompagniJan 3, 2010 
Φ2531(677)7162Bernardo BoncompagniJan 8, 2010 
Φ1913(5480)7149Bernardo BoncompagniJan 2, 2010 
Φ1831(8022)7145Bernardo BoncompagniDec 31, 2009 
Φ1811(8787)7139Bernardo BoncompagniDec 31, 2009 
Φ1913(5415)7139Bernardo BoncompagniJan 2, 2010 
Φ1871(6509)7132Bernardo BoncompagniJan 1, 2010 
Φ2089(2602)7132Bernardo BoncompagniJan 4, 2010 
Φ2269(1387)7127Bernardo BoncompagniJan 6, 2010 
Φ2029(3236)7119Bernardo BoncompagniJan 3, 2010 
Φ1823(8053)7117Bernardo BoncompagniDec 31, 2009 
Φ1879(6150)7116Bernardo BoncompagniJan 1, 2010 
Φ2347(1078)7115Bernardo BoncompagniJan 7, 2010 
Φ2423(863)7112Bernardo BoncompagniJan 8, 2010 
Φ2297(1246)7108Bernardo BoncompagniJan 7, 2010 
Φ2087(2554)7108Bernardo BoncompagniJan 3, 2010 
Φ1847(6910)7088Bernardo BoncompagniDec 31, 2009 
Φ3343(132)7087Bernardo BoncompagniJan 24, 2010 
Φ2137(2079)7087Bernardo BoncompagniJan 4, 2010 
Φ1877(5985)7086Bernardo BoncompagniJan 1, 2010 
Φ2131(2120)7086Bernardo BoncompagniJan 4, 2010 
Φ1861(6419)7082Bernardo BoncompagniJan 1, 2010 
Φ1999(3484)7078Bernardo BoncompagniJan 3, 2010 
Φ2039(2959)7075Bernardo BoncompagniJan 3, 2010 
Φ1871(6063)7074Bernardo BoncompagniJan 1, 2010 
Φ1873(6009)7074Bernardo BoncompagniJan 1, 2010 
Φ1999(3449)7069Bernardo BoncompagniJan 3, 2010 
Φ2111(2231)7066Bernardo BoncompagniJan 4, 2010 
Φ1789(8944)7066Bernardo BoncompagniJan 12, 2010 
Φ1889(5521)7065Bernardo BoncompagniJan 1, 2010 
Φ1847(6710)7065Bernardo BoncompagniDec 31, 2009 
Φ3581(94)7064Bernardo BoncompagniFeb 1, 2010 
Φ3251(149)7063Bernardo BoncompagniJan 21, 2010 
Φ1933(4472)7053Bernardo BoncompagniJan 2, 2010 
Φ2087(2400)7052Bernardo BoncompagniJan 3, 2010 
Φ1913(4878)7052Bernardo BoncompagniJan 2, 2010 
Φ2237(1416)7046Bernardo BoncompagniJan 5, 2010 
Φ2099(2281)7046Bernardo BoncompagniJan 4, 2010 
Φ1789(8676)7042Bernardo BoncompagniJan 12, 2010 
Φ1831(7028)7040Bernardo BoncompagniDec 31, 2009 
Φ1933(4392)7038Bernardo BoncompagniJan 2, 2010 
Φ2671(432)7037Bernardo BoncompagniJan 12, 2010 
Φ1999(3278)7025Bernardo BoncompagniJan 3, 2010 
Φ1913(4715)7024Bernardo BoncompagniJan 2, 2010 
Φ1879(5485)7023Bernardo BoncompagniJan 1, 2010 
Φ1847(6298)7014Bernardo BoncompagniDec 31, 2009 
Φ1789(8369)7014Bernardo BoncompagniJan 12, 2010 
Φ2053(2609)7011Bernardo BoncompagniJan 3, 2010 
Φ2087(2293)7010Bernardo BoncompagniJan 3, 2010 
Φ1877(5447)7010Bernardo BoncompagniJan 1, 2010 
Φ2143(1867)7007Bernardo BoncompagniJan 4, 2010 
Φ1931(4223)6998Bernardo BoncompagniJan 2, 2010 
Φ1787(8186)6989Bernardo BoncompagniJan 12, 2010 
Φ1877(5298)6987Bernardo BoncompagniJan 1, 2010 
Φ1949(3838)6982Bernardo BoncompagniJan 3, 2010 
Φ1787(8008)6972Bernardo BoncompagniJan 12, 2010 
Φ1997(3098)6969Bernardo BoncompagniJan 3, 2010 
Φ2011(2907)6962Bernardo BoncompagniJan 3, 2010 
Φ1831(6342)6959Bernardo BoncompagniDec 31, 2009 
Φ1787(7855)6957Bernardo BoncompagniJan 12, 2010 
Φ1823(6565)6956Bernardo BoncompagniDec 31, 2009 
Φ1951(3684)6955Bernardo BoncompagniJan 3, 2010 
Φ1787(7821)6954Bernardo BoncompagniJan 12, 2010 
Φ1783(7934)6949Bernardo BoncompagniJan 9, 2010 
Φ2087(2140)6948Bernardo BoncompagniJan 3, 2010 
Φ1789(7680)6948Bernardo BoncompagniJan 12, 2010 
Φ1901(4523)6946Bernardo BoncompagniJan 1, 2010 
Φ2011(2839)6941Bernardo BoncompagniJan 3, 2010 
Φ2029(2622)6933Bernardo BoncompagniJan 3, 2010 
Φ2141(1727)6928Bernardo BoncompagniJan 4, 2010 
Φ2153(1646)6922Bernardo BoncompagniJan 4, 2010 
Φ2687(377)6921Bernardo BoncompagniJan 12, 2010 
Φ3217(141)6912Bernardo BoncompagniJan 21, 2010 
Φ2027(2567)6908Bernardo BoncompagniJan 3, 2010 
Φ2089(2029)6906Bernardo BoncompagniJan 4, 2010 
Φ2467(627)6899Bernardo BoncompagniJan 8, 2010 
Φ1877(4709)6891Bernardo BoncompagniJan 1, 2010 
Φ1789(7139)6891Bernardo BoncompagniJan 12, 2010 
Φ1861(5021)6884Bernardo BoncompagniJan 1, 2010 
Φ1811(6352)6884Bernardo BoncompagniDec 31, 2009 
Φ1777(7512)6884Bernardo BoncompagniJan 7, 2009 
Φ2297(992)6880Bernardo BoncompagniJan 7, 2010 
Φ2447(645)6873Bernardo BoncompagniJan 8, 2010 
Φ1871(4720)6871Bernardo BoncompagniJan 1, 2010 
Φ2657(386)6870Bernardo BoncompagniJan 10, 2010 
Φ1871(4628)6855Bernardo BoncompagniJan 1, 2010 
Φ1753(8167)6854Bernardo BoncompagniDec 21, 2009 
Φ1789(6812)6854Bernardo BoncompagniJan 12, 2010 
Φ1783(7004)6853Bernardo BoncompagniJan 9, 2010 
Φ1861(4829)6852Bernardo BoncompagniJan 1, 2010 
Φ1741(8653)6851Bernardo BoncompagniDec 14, 2009 
Φ1747(8370)6850Bernardo BoncompagniDec 17, 2009 
Φ1823(5707)6845Bernardo BoncompagniDec 31, 2009 
Φ1907(3872)6839Bernardo BoncompagniJan 2, 2010 
Φ1993(2699)6835Bernardo BoncompagniJan 3, 2010 
Φ2237(1135)6831Bernardo BoncompagniJan 5, 2010 
Φ1949(3200)6829Bernardo BoncompagniJan 3, 2010 
Φ1877(4338)6824Bernardo BoncompagniJan 1, 2010 
Φ1823(5554)6823Bernardo BoncompagniDec 31, 2009 
Φ1831(5331)6821Bernardo BoncompagniDec 31, 2009 
Φ1949(3144)6814Bernardo BoncompagniJan 3, 2010 
Φ1759(7509)6814Bernardo BoncompagniDec 21, 2009 
Φ2287(955)6813Bernardo BoncompagniJan 6, 2010 
Φ2663(362)6812Bernardo BoncompagniJan 12, 2010 
Φ1759(7458)6809Bernardo BoncompagniDec 21, 2009 
Φ1759(7391)6802Bernardo BoncompagniDec 21, 2009 
Φ1789(6317)6796Bernardo BoncompagniJan 12, 2010 
Φ1949(3067)6793Bernardo BoncompagniJan 3, 2010 
Φ2017(2335)6791Bernardo BoncompagniJan 3, 2010 
Φ2137(1496)6782Bernardo BoncompagniJan 4, 2010 
Φ2633(376)6778Bernardo BoncompagniJan 10, 2010 
Φ1831(5031)6775Bernardo BoncompagniDec 31, 2009 
Φ1741(7817)6774Bernardo BoncompagniDec 14, 2009 
Φ1831(5003)6770Bernardo BoncompagniDec 31, 2009 
Φ2221(1116)6766Bernardo BoncompagniJan 5, 2010 
Φ1867(4212)6764Bernardo BoncompagniJan 1, 2010 
Φ1759(7034)6764Bernardo BoncompagniDec 21, 2009 
Φ1789(6062)6764Bernardo BoncompagniJan 12, 2010 
Φ1787(6123)6764Bernardo BoncompagniJan 12, 2010 
Φ1747(7414)6758Bernardo BoncompagniDec 17, 2009 
Φ1789(6020)6758Bernardo BoncompagniJan 12, 2010 
Φ1949(2926)6753Bernardo BoncompagniJan 3, 2010 
Φ1747(7335)6749Bernardo BoncompagniDec 16, 2009 
Φ1877(3950)6748Bernardo BoncompagniJan 1, 2010 
Φ1949(2899)6745Bernardo BoncompagniJan 3, 2010 
Φ1759(6849)6744Bernardo BoncompagniDec 21, 2009 
Φ1721(8327)6744Bernardo BoncompagniDec 9, 2009 
Φ1811(5300)6741Bernardo BoncompagniDec 31, 2009 
Φ1753(7023)6740Bernardo BoncompagniDec 21, 2009 
Φ1787(5933)6740Bernardo BoncompagniJan 12, 2010 
Φ2251(988)6739Bernardo BoncompagniJan 6, 2010 
Φ2027(2110)6735Bernardo BoncompagniJan 3, 2010 
Φ2081(1715)6728Bernardo BoncompagniJan 3, 2010 
Φ1979(2513)6726Bernardo BoncompagniJan 3, 2010 
Φ2269(917)6719Bernardo BoncompagniJan 6, 2010 
Φ1721(8058)6719Bernardo BoncompagniDec 9, 2009 
Φ1721(8017)6715Bernardo BoncompagniDec 9, 2009 
Φ1721(7980)6712Bernardo BoncompagniDec 9, 2009 
Φ1889(3568)6707Bernardo BoncompagniJan 1, 2010 
Φ2207(1094)6705Bernardo BoncompagniJan 5, 2010 
Φ1777(5961)6705Bernardo BoncompagniDec 23, 2009 


This page was last updated on October 27, 2011.