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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
833379383166675876710 ~2001
833384459166676891910 ~2001
833403731166680746310 ~2001
83340724746670805832112 ~2007
8334077231333452356911 ~2003
8334132471500143844711 ~2003
8334490271333518443311 ~2003
833449363833449363110 ~2002
833466083166693216710 ~2001
833483363166696672710 ~2001
8334955871333592939311 ~2003
8334958332500487499111 ~2004
833516459166703291910 ~2001
833518379166703675910 ~2001
833522057666817645710 ~2002
8335381432000491543311 ~2003
833540909666832727310 ~2002
833547133500128279910 ~2002
833551583166710316710 ~2001
833580817500148490310 ~2002
833640383166728076710 ~2001
833643197500185918310 ~2002
833679839166735967910 ~2001
833690017500214010310 ~2002
8336976471500655764711 ~2003
Exponent Prime Factor Digits Year
833705711166741142310 ~2001
833707153500224291910 ~2002
833716021500229612710 ~2002
833769731166753946310 ~2001
833804519166760903910 ~2001
8338126271334100203311 ~2003
833859157500315494310 ~2002
833860169667088135310 ~2002
833863799166772759910 ~2001
833865077500319046310 ~2002
833899679166779935910 ~2001
833913337500348002310 ~2002
833931383166786276710 ~2001
833948939166789787910 ~2001
833993603166798720710 ~2001
834018233500410939910 ~2002
834037751166807550310 ~2001
8340643678674269416911 ~2005
834101771166820354310 ~2001
834113941500468364710 ~2002
834133901500480340710 ~2002
834150563166830112710 ~2001
834151133500490679910 ~2002
834167123166833424710 ~2001
834180553500508331910 ~2002
Exponent Prime Factor Digits Year
834219623166843924710 ~2001
834231011166846202310 ~2001
834253103166850620710 ~2001
834283199667426559310 ~2002
834288097500572858310 ~2002
8342926072169160778311 ~2003
834294179166858835910 ~2001
834323771166864754310 ~2001
834324299166864859910 ~2001
834329423166865884710 ~2001
834336851166867370310 ~2001
834348659166869731910 ~2001
834378899166875779910 ~2001
8343961331335033812911 ~2003
8344015631335042500911 ~2003
834405683166881136710 ~2001
834414671166882934310 ~2001
834436153500661691910 ~2002
834438001500662800710 ~2002
834444959166888991910 ~2001
834510251166902050310 ~2001
834530243166906048710 ~2001
834538751166907750310 ~2001
834547919166909583910 ~2001
834559181667647344910 ~2002
Exponent Prime Factor Digits Year
834570397500742238310 ~2002
834619211166923842310 ~2001
834620183166924036710 ~2001
834634799166926959910 ~2001
834656813500794087910 ~2002
834657179166931435910 ~2001
834709439166941887910 ~2001
834739097667791277710 ~2002
834756743166951348710 ~2001
834784859166956971910 ~2001
834810659166962131910 ~2001
834877091166975418310 ~2001
834886027834886027110 ~2002
834908603166981720710 ~2001
8349247492003819397711 ~2003
834946421667957136910 ~2002
835050479167010095910 ~2001
835083083167016616710 ~2001
8351023273340409308111 ~2004
835109519167021903910 ~2001
835134323167026864710 ~2001
835142723167028544710 ~2001
835144391167028878310 ~2001
835159511167031902310 ~2001
835188479167037695910 ~2001
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25-04-13