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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
258897771553386639 ~1990
25890071517801438 ~1989
258902331553413999 ~1990
25890251517805038 ~1989
258904571553427439 ~1990
25891163517823278 ~1989
258916371553498239 ~1990
258928792071430339 ~1990
25892939517858798 ~1989
25894223517884478 ~1989
25894591108757282310 ~1992
258948672589486719 ~1991
258951171553707039 ~1990
25895279517905598 ~1989
258953392071627139 ~1990
258965092071720739 ~1990
25896683517933678 ~1989
25896719517934398 ~1989
25896863517937278 ~1989
25897523517950478 ~1989
25898231517964638 ~1989
25898459517969198 ~1989
25898591517971838 ~1989
25899239517984798 ~1989
25899323517986478 ~1989
Exponent Prime Factor Digits Year
25899719517994398 ~1989
258999173625988399 ~1991
259003611554021679 ~1990
259004992072039939 ~1990
25900559518011198 ~1989
25900739518014798 ~1989
25900811518016238 ~1989
25901003518020078 ~1989
259010211554061279 ~1990
25901171518023438 ~1989
259012011554072079 ~1990
259018571554111439 ~1990
25901891518037838 ~1989
25902323518046478 ~1989
25902659518053198 ~1989
25902683518053678 ~1989
25902731518054638 ~1989
25903079518061598 ~1989
259033032590330319 ~1991
25903331518066638 ~1989
259042131554252799 ~1990
25904303518086078 ~1989
25904471518089438 ~1989
25904639518092798 ~1989
25904759518095198 ~1989
Exponent Prime Factor Digits Year
259049931554299599 ~1990
259050974144815539 ~1991
25905359518107198 ~1989
25905623518112478 ~1989
259059412072475299 ~1990
25906379518127598 ~1989
25906451518129038 ~1989
25906739518134798 ~1989
259069612072556899 ~1990
25907291518145838 ~1989
25907639518152798 ~1989
25907891518157838 ~1989
25908599393810704910 ~1993
25908719518174398 ~1989
259089374145429939 ~1991
25909451518189038 ~1989
259102331554613999 ~1990
25910519518210398 ~1989
25910723518214478 ~1989
25912091518241838 ~1989
259121211554727279 ~1990
25912259518245198 ~1989
25912319518246398 ~1989
25913171518263438 ~1989
259137734146203699 ~1991
Exponent Prime Factor Digits Year
25913963518279278 ~1989
25913999518279998 ~1989
259143731554862399 ~1990
25915391518307838 ~1989
25915559518311198 ~1989
259163931554983599 ~1990
25916519518330398 ~1989
25916771518335438 ~1989
25917011518340238 ~1989
25917179518343598 ~1989
25917383518347678 ~1989
25918283518365678 ~1989
25918811518376238 ~1989
25919111518382238 ~1989
25919123518382478 ~1989
25919291518385838 ~1989
259195192073561539 ~1990
25919639518392798 ~1989
25919711518394238 ~1989
259197172073577379 ~1990
25919879518397598 ~1989
25920203518404078 ~1989
259210971555265839 ~1990
25921151518423038 ~1989
259211512073692099
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25-06-08