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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
422392311013741544111
42239651844793038 ~1991
422401793379214339 ~1992
422403074224030719 ~1992
42240839844816798 ~1991
42240851844817038 ~1991
42240959844819198 ~1991
42241163844823278 ~1991
422414212534485279 ~1992
42241943844838878 ~1991
42242303844846078 ~1991
42242699844853998 ~1991
42243037202766577710 ~1994
422449339293885279 ~1993
422460132534760799 ~1992
42246299844925998 ~1991
42246311844926238 ~1991
42247511844950238 ~1991
42247561304182439310 ~1994
422486234224862319 ~1992
422487293379898339 ~1992
422488132534928799 ~1992
42250223845004478 ~1991
42250399177451675910 ~1994
42251089498562850310 ~1995
Exponent Prime Factor Digits Year
42251903845038078 ~1991
422523173380185379 ~1992
42252719845054398 ~1991
422535372535212239 ~1992
422542572535255439 ~1992
422543412535260479 ~1992
42258743845174878 ~1991
422590816761452979 ~1993
422591812535550879 ~1992
422600412535602479 ~1992
42260171845203438 ~1991
42260639845212798 ~1991
42260891135234851310 ~1993
42261599211307995110 ~1994
42262919845258398 ~1991
42264263845285278 ~1991
42264311845286238 ~1991
42264539845290798 ~1991
42265031845300638 ~1991
42266363845327278 ~1991
422686073381488579 ~1992
42268883845377678 ~1991
422692876763085939 ~1993
42269543845390878 ~1991
42270071845401438 ~1991
Exponent Prime Factor Digits Year
422702594227025919 ~1992
42272423845448478 ~1991
422725013381800099 ~1992
422740793381926339 ~1992
42274703845494078 ~1991
42276187380485683110 ~1995
42276191845523838 ~1991
422773732536642399 ~1992
42278053194479043910 ~1994
42278123845562478 ~1991
422793113382344899 ~1992
42280211845604238 ~1991
42280321126840963110 ~1993
42281339845626798 ~1991
42282263845645278 ~1991
42282599845651998 ~1991
422843095919803279 ~1993
42286943845738878 ~1991
42287039845740798 ~1991
422870393382963139
42287183845743678 ~1991
42287471845749438 ~1991
42288419845768398 ~1991
42288971845779438 ~1991
42289343845786878 ~1991
Exponent Prime Factor Digits Year
42289823845796478 ~1991
422904012537424079 ~1992
42290471845809438 ~1991
422909393383275139 ~1992
42291071845821438 ~1991
42291143845822878 ~1991
42291383845827678 ~1991
422914372537486239 ~1992
422934773383478179 ~1992
42296483845929678 ~1991
42297191845943838 ~1991
42297323845946478 ~1991
42298163845963278 ~1991
422985173383881379 ~1992
42299123845982478 ~1991
42299651845993038 ~1991
42299891845997838 ~1991
423001732538010399 ~1992
42300179846003598 ~1991
42300803846016078 ~1991
42301631846032638 ~1991
42302363846047278 ~1991
42302399846047998 ~1991
42302471338419768110 ~1994
42303479846069598 ~1991
1938
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25-04-13