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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
49949171998983438 ~1991
499503532997021199 ~1992
499505813996046499 ~1993
49950899999017998 ~1991
499510673996085379 ~1993
499521434995214319 ~1993
49953671999073438 ~1991
49953731999074638 ~1991
49954259999085198 ~1991
499543496993608879 ~1993
499566372997398239 ~1992
49956971999139438 ~1991
499573514995735119 ~1993
49958873159868393710 ~1994
499603073996824579 ~1993
499614413996915299 ~1993
49961843999236878 ~1991
49962443999248878 ~1991
499628412997770479 ~1992
49963271999265438 ~1991
499634693997077539 ~1993
499635173997081379 ~1993
49964039999280798 ~1991
49964231999284638 ~1991
49967231999344638 ~1991
Exponent Prime Factor Digits Year
499674972998049839 ~1992
499685573997484579 ~1993
499690673997525379 ~1993
49969679119927229710 ~1994
499700932998205599 ~1992
49971359999427198 ~1991
499730393997843139 ~1993
49974719999494398 ~1991
49975811999516238 ~1991
49976219999524398 ~1991
49976351999527038 ~1991
499765673998125379 ~1993
49977299119945517710 ~1994
499776078995969279 ~1993
49977659999553198 ~1991
499784474997844719 ~1993
49980923999618478 ~1991
49980971999619438 ~1991
49981259999625198 ~1991
49982879999657598 ~1991
49983359999667198 ~1991
49984283999685678 ~1991
49984463999689278 ~1991
499847932999087599 ~1992
499864932999189599 ~1992
Exponent Prime Factor Digits Year
49987523999750478 ~1991
49987583999751678 ~1991
49987643999752878 ~1991
499877718997798799 ~1993
49989371999787438 ~1991
49989539999790798 ~1991
49990943999818878 ~1991
499911412999468479 ~1992
499917412999504479 ~1992
499927572999565439 ~1992
49992779999855598 ~1991
49993943999878878 ~1991
499943532999661199 ~1992
49995119999902398 ~1991
499953718999166799 ~1993
49995779999915598 ~1991
49996679999933598 ~1991
49997039999940798 ~1991
49997903999958078 ~1991
499983372999900239 ~1992
49998563999971278 ~1991
499994412999966479 ~1992
500020791000041599 ~1991
500022591000045199 ~1991
500033991000067999 ~1991
Exponent Prime Factor Digits Year
500055831000111679 ~1991
500057933000347599 ~1992
500058111000116239 ~1991
500120031000240079 ~1991
500134791000269599 ~1991
500140431000280879 ~1991
500151591000303199 ~1991
500152791000305599 ~1991
500157831000315679 ~1991
500169591000339199 ~1991
500174031000348079 ~1991
500179311000358639 ~1991
500180574001444579 ~1993
500185431000370879 ~1991
500186031000372079 ~1991
50020433120049039310 ~1994
500205013001230079 ~1992
50022059210092647910 ~1994
500223114001784899 ~1993
500230199004143439 ~1993
500243115002431119 ~1993
500253795002537919 ~1993
500277173001663039 ~1992
500281191000562399 ~1991
500282991000565999 ~1991
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26-03-15