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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
499700932998205599 ~1992
49971359999427198 ~1991
499730393997843139 ~1993
49974719999494398 ~1991
49975811999516238 ~1991
49976219999524398 ~1991
49976351999527038 ~1991
499776078995969279 ~1993
49977659999553198 ~1991
499784474997844719 ~1993
49980923999618478 ~1991
49980971999619438 ~1991
49981259999625198 ~1991
49983359999667198 ~1991
49984283999685678 ~1991
499847932999087599 ~1992
499864932999189599 ~1992
49987523999750478 ~1991
49987583999751678 ~1991
49987643999752878 ~1991
49989371999787438 ~1991
49989539999790798 ~1991
49990943999818878 ~1991
499911412999468479 ~1992
499917412999504479 ~1992
Exponent Prime Factor Digits Year
499927572999565439 ~1992
49992779999855598 ~1991
499943532999661199 ~1992
49995119999902398 ~1991
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
500186031000372079 ~1991
Exponent Prime Factor Digits Year
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
500450631000901279 ~1991
Exponent Prime Factor Digits Year
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
500648511001297039 ~1991
2033
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25-04-13