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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
2780702515561405039 ~1997
2780704315561408639 ~1997
2780767915561535839 ~1997
278082173166849303910 ~1998
2780821795561643599 ~1997
2780837635561675279 ~1997
2780941915561883839 ~1997
2780975635561951279 ~1997
2780979715561959439 ~1997
2780986435561972879 ~1997
2781049093949089707911 ~2001
2781092635562185279 ~1997
2781120115562240239 ~1997
2781122035562244079 ~1997
2781140035562280079 ~1997
2781149395562298799 ~1997
2781177115562354239 ~1997
2781243235562486479 ~1997
2781251035562502079 ~1997
2781303715562607439 ~1997
2781325795562651599 ~1997
278136293389390810310 ~1999
278137007222509605710 ~1998
2781435835562871679 ~1997
2781454435562908879 ~1997
Exponent Prime Factor Digits Year
2781503635563007279 ~1997
2781531595563063199 ~1997
2781555235563110479 ~1997
278160433166896259910 ~1998
2781655795563311599 ~1997
2781732235563464479 ~1997
2781801835563603679 ~1997
2781824035563648079 ~1997
2781906115563812239 ~1997
278194079222555263310 ~1998
278197327445115723310 ~1999
2781994315563988639 ~1997
2782113595564227199 ~1997
2782171435564342879 ~1997
278217341166930404710 ~1998
2782243795564487599 ~1997
278237101166942260710 ~1998
2782502995565005999 ~1997
278253667445205867310 ~1999
2782568515565137039 ~1997
2782583995565167999 ~1997
278262157667829176910 ~2000
2782705195565410399 ~1997
2782766395565532799 ~1997
278292761222634208910 ~1998
Exponent Prime Factor Digits Year
2782930795565861599 ~1997
2782932715565865439 ~1997
2782941715565883439 ~1997
2783039395566078799 ~1997
2783063515566127039 ~1997
278317393166990435910 ~1998
2783188795566377599 ~1997
2783262115566524239 ~1997
278334677167000806310 ~1998
2783450515566901039 ~1997
2783477035566954079 ~1997
2783487235566974479 ~1997
2783508235567016479 ~1997
2783605915567211839 ~1997
2783610715567221439 ~1997
278374333167024599910 ~1998
2783753515567507039 ~1997
2783812195567624399 ~1997
2783843395567686799 ~1997
2783900891113560356111 ~2000
278390753167034451910 ~1998
2783913595567827199 ~1997
2784026995568053999 ~1997
2784064315568128639 ~1997
2784085195568170399 ~1997
Exponent Prime Factor Digits Year
2784091435568182879 ~1997
2784092035568184079 ~1997
2784139315568278639 ~1997
2784201235568402479 ~1997
2784288835568577679 ~1997
278431177668234824910 ~2000
2784350395568700799 ~1997
278436793167062075910 ~1998
2784401995568803999 ~1997
278441879222753503310 ~1998
2784465835568931679 ~1997
278455277167073166310 ~1998
278460851501229531910 ~1999
278463469668312325710 ~2000
2784767995569535999 ~1997
2784768715569537439 ~1997
2784884995569769999 ~1997
2784907315569814639 ~1997
2784975595569951199 ~1997
2785036795570073599 ~1997
2785038595570077199 ~1997
278507297167104378310 ~1998
2785108915570217839 ~1997
2785166035570332079 ~1997
278520301167112180710 ~1998
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