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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
8198843163976878 ~1985
81989172459675119 ~1988
8198951163979038 ~1985
8199271819927118 ~1987
8199371163987438 ~1985
8199553491973198 ~1986
8199623163992478 ~1985
8199791163995838 ~1985
8199791655983298
81998271475968879 ~1987
8200013492000798 ~1986
8200061656004898 ~1986
8200091164001838 ~1985
8200147820014718 ~1987
8200217492013038 ~1986
8200433492025998 ~1986
8200463164009278 ~1985
8200741492044478 ~1986
8201111164022238 ~1985
8201339164026798 ~1985
8201807656144578 ~1986
8201813492108798 ~1986
8201971820197118 ~1987
8202263164045278 ~1985
8202431164048638 ~1985
Exp. Prime Factor Digits Year
8202479164049598 ~1985
8202613492156798 ~1986
8202703820270318 ~1987
8202871820287118 ~1987
8202989656239138 ~1986
8203147820314718 ~1987
8203297492197838 ~1986
8203303820330318 ~1987
8203319164066398 ~1985
8203511139459687110 ~1990
8203691164073838 ~1985
8203883164077678 ~1985
8203901492234078 ~1986
8204017492241038 ~1986
8204033492241998 ~1986
8204101492246078 ~1986
82041131312658099 ~1987
8204177492250638 ~1986
82041911312670579 ~1987
82042811312684979 ~1987
8204737492284238 ~1986
8204783164095678 ~1985
8205011656400898 ~1986
8205103820510318 ~1987
82052215087237039 ~1989
Exp. Prime Factor Digits Year
8205251164105038 ~1985
8205403820540318 ~1987
8205437656434978 ~1986
8205529945276940910 ~1992
8205623164112478 ~1985
8206619164132398 ~1985
8206799164135998 ~1985
82070274595935139 ~1989
8207051164141038 ~1985
8207471164149438 ~1985
8207483164149678 ~1985
82076271477372879 ~1987
8208037492482238 ~1986
8208143164162878 ~1985
8208311164166238 ~1985
8208439820843918 ~1987
8208757492525438 ~1986
8208797656703778 ~1987
8208911164178238 ~1985
8209031164180638 ~1985
82092771970226499 ~1988
8209703164194078 ~1985
82098371970360899 ~1988
8210063164201278 ~1985
8210141656811298 ~1987
Exp. Prime Factor Digits Year
8210159164203198 ~1985
8210309656824738 ~1987
8210387656830978 ~1987
8210437492626238 ~1986
8210519164210398 ~1985
8210627656850178 ~1987
82107671313722739 ~1987
82108191970596579 ~1988
8210837656866978 ~1987
8211103472959532910 ~1991
8211139821113918 ~1987
82111631313786099 ~1987
82111671970680099 ~1988
8211191164223838 ~1985
8211367821136718 ~1987
8211383164227678 ~1985
8211503164230078 ~1985
8211719164234398 ~1985
8211877492712638 ~1986
8212019164240398 ~1985
8212091164241838 ~1985
8212147821214718 ~1987
8212157656972578 ~1987
8212363821236318 ~1987
8212511164250238 ~1985
967
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26-08-30