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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
499927572999565439 ~1992
49992779999855598 ~1991
499943532999661199 ~1992
49995119999902398 ~1991
499953718999166799 ~1993
49995779999915598 ~1991
49996679999933598 ~1991
49997039999940798 ~1991
499983372999900239 ~1992
49998563999971278 ~1991
500020791000041599 ~1991
500022591000045199 ~1991
500033991000067999 ~1991
500055831000111679 ~1991
500058111000116239 ~1991
500120031000240079 ~1991
500134791000269599 ~1991
500140431000280879 ~1991
500151591000303199 ~1991
500157831000315679 ~1991
500169591000339199 ~1991
500174031000348079 ~1991
500179311000358639 ~1991
500180574001444579 ~1993
500185431000370879 ~1991
Exponent Prime Factor Digits Year
500186031000372079 ~1991
50020433120049039310 ~1994
50022059210092647910 ~1994
500223114001784899 ~1993
500230199004143439 ~1993
500243115002431119 ~1993
500253795002537919 ~1993
500277173001663039 ~1992
500281191000562399 ~1991
500282991000565999 ~1991
500285479005138479 ~1993
500301111000602239 ~1991
500312511000625039 ~1991
500331075003310719 ~1993
500354231050743883111 ~1996
500366631000733279 ~1991
500374333002245999 ~1992
500392431000784879 ~1991
500396031000792079 ~1991
500407191000814399 ~1991
500419191000838399 ~1991
500437571951706523111 ~1997
500441391000882799 ~1991
500442591000885199 ~1991
50044663170151854310 ~1994
Exponent Prime Factor Digits Year
500450631000901279 ~1991
500453213002719279 ~1992
500461791000923599 ~1991
500474991000949999 ~1991
500477991000955999 ~1991
500479614003836899 ~1993
500486115004861119 ~1993
500488791000977599 ~1991
500491791000983599 ~1991
500533878008541939 ~1993
50053799600645588110 ~1995
500545333003271999 ~1992
500546573003279439 ~1992
500564391001128799 ~1991
500570991001141999 ~1991
500573631001147279 ~1991
500576773003460639 ~1992
500592591001185199 ~1991
500605791001211599 ~1991
500612991001225999 ~1991
500624475006244719 ~1993
500629213003775279 ~1992
500629813003778879 ~1992
500633391001266799 ~1991
500646133003876799 ~1992
Exponent Prime Factor Digits Year
500648511001297039 ~1991
500651519011727199 ~1993
500656494005251939 ~1993
500656791001313599 ~1991
500669031001338079 ~1991
500674431001348879 ~1991
500688839613225536111 ~1998
500695613004173679 ~1992
500709591001419199 ~1991
500712711001425439 ~1991
500738511001477039 ~1991
500740013004440079 ~1992
500744991001489999 ~1991
50074853120179647310 ~1994
500754231001508479 ~1991
500755791001511599 ~1991
500763111001526239 ~1991
500771511001543039 ~1991
500772111001544239 ~1991
500776911001553839 ~1991
500786631001573279 ~1991
500787831001575679 ~1991
500836791001673599 ~1991
500843835008438319 ~1993
500846631001693279 ~1991
2084
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25-07-08