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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.
Exponent Prime Factor Digits Year
28642583572851678 ~1989
28642811572856238 ~1989
286428292291426339 ~1991
28642871572857438 ~1989
286428837447149599 ~1992
28642931572858638 ~1989
28642979572859598 ~1989
286429938592897919 ~1992
28643711572874238 ~1989
286438012291504099 ~1991
28643819572876398 ~1989
28643999572879998 ~1989
286440731718644399 ~1990
286447696874744579 ~1992
286459371718756239 ~1990
28646099572921998 ~1989
286463812291710499 ~1991
28646483572929678 ~1989
28646531572930638 ~1989
28646539183337849710 ~1993
28647011572940238 ~1989
28647623572952478 ~1989
286480972291847779 ~1991
286481571718889439 ~1990
28648199572963998 ~1989
Exponent Prime Factor Digits Year
28648439572968798 ~1989
28648457727670807910 ~1994
28648871572977438 ~1989
286488771718932639 ~1990
28649111572982238 ~1989
28650131573002638 ~1989
28650731573014638 ~1989
286508334011116639 ~1991
28650911573018238 ~1989
28651643573032878 ~1989
28651823573036478 ~1989
286518913094404228111 ~1996
28652363573047278 ~1989
28653419573068398 ~1989
28653431573068638 ~1989
28654319573086398 ~1989
28654823573096478 ~1989
286548539169552979 ~1992
286554915157988399 ~1992
286556331719337999 ~1990
28656011573120238 ~1989
28656311573126238 ~1989
28656779573135598 ~1989
28656983573139678 ~1989
28657151573143038 ~1989
Exponent Prime Factor Digits Year
28657439573148798 ~1989
28658219573164398 ~1989
28658639573172798 ~1989
28658891573177838 ~1989
28658939573178798 ~1989
286594731719568399 ~1990
28659503573190078 ~1989
28659563573191278 ~1989
28659623573192478 ~1989
28659731573194638 ~1989
286600811719604879 ~1990
28660199573203998 ~1989
28660211573204238 ~1989
28660451573209038 ~1989
286610112866101119 ~1991
28661459573229198 ~1989
28661579573231598 ~1989
28661663573233278 ~1989
28661819573236398 ~1989
28661999573239998 ~1989
286624632866246319 ~1991
286627912293023299 ~1991
28664171573283438 ~1989
28664231573284638 ~1989
28664459573289198 ~1989
Exponent Prime Factor Digits Year
286644772293158179 ~1991
28664579573291598 ~1989
28664651573293038 ~1989
286652331719913999 ~1990
286654731719928399 ~1990
28665503573310078 ~1989
28666091573321838 ~1989
28666559573331198 ~1989
28667459573349198 ~1989
28668023573360478 ~1989
286681811720090879 ~1990
28668469200679283110 ~1993
28668743573374878 ~1989
28668803573376078 ~1989
286689611720137679 ~1990
286695171720171039 ~1990
28671491573429838 ~1989
28671803573436078 ~1989
28672211573444238 ~1989
28672223573444478 ~1989
28672751573455038 ~1989
28672811573456238 ~1989
286729931720379599 ~1990
28673591573471838 ~1989
286738571720431439 ~1990
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