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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
42276191845523838 ~1991
422773732536642399 ~1992
42278053194479043910 ~1994
42278123845562478 ~1991
422793113382344899 ~1992
42280211845604238 ~1991
42280321126840963110 ~1993
42281339845626798 ~1991
42282263845645278 ~1991
42282599845651998 ~1991
422843095919803279 ~1993
42285959845719198 ~1991
42286943845738878 ~1991
42287039845740798 ~1991
422870393382963139
42287183845743678 ~1991
42287471845749438 ~1991
42288419845768398 ~1991
42288971845779438 ~1991
42289343845786878 ~1991
42289823845796478 ~1991
422904012537424079 ~1992
42290471845809438 ~1991
422909393383275139 ~1992
42291071845821438 ~1991
Exponent Prime Factor Digits Year
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
42304439846088798 ~1991
42304571846091438 ~1991
423053575922749999 ~1993
42306899846137998 ~1991
42307691846153838 ~1991
Exponent Prime Factor Digits Year
42308663846173278 ~1991
423097313384778499 ~1992
423102532538615199 ~1992
42310979846219598 ~1991
42311519101547645710 ~1993
42312239846244798 ~1991
42312299846245998 ~1991
42312359846247198 ~1991
42314879846297598 ~1991
423154332538925999 ~1992
42315743846314878 ~1991
42316679846333598 ~1991
42317339846346798 ~1991
42318599846371998 ~1991
42321731846434638 ~1991
42323483846469678 ~1991
423237132539422799 ~1992
42324251846485038 ~1991
42324479846489598 ~1991
42324983846499678 ~1991
42325799846515998 ~1991
42326783846535678 ~1991
423271332539627999 ~1992
42329783846595678 ~1991
423298732539792399 ~1992
Exponent Prime Factor Digits Year
42330251846605038 ~1991
42330443846608878 ~1991
423304673386437379 ~1992
42331463846629278 ~1991
42331931846638638 ~1991
42332293474121681710 ~1995
42332659812787052910 ~1995
423332573386660579 ~1992
42333283143933162310 ~1994
423341575926781999 ~1993
42334739846694798 ~1991
423352132540112799 ~1992
42335399846707998 ~1991
423355973386847779 ~1992
42336263846725278 ~1991
42337283846745678 ~1991
423390914233909119 ~1992
42339743846794878 ~1991
423399773387198179 ~1992
42340049101616117710 ~1993
42340751846815038 ~1991
423410594234105919 ~1992
42342803846856078 ~1991
42343019846860398 ~1991
42343079846861598 ~1991
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25-07-08