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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
735892763147178552710 ~2000
735937283147187456710 ~2000
735938111147187622310 ~2000
735981563147196312710 ~2000
735998843147199768710 ~2000
736022641441613584710 ~2001
736091159147218231910 ~2000
7360940172944376068111 ~2003
736144763147228952710 ~2000
736170419147234083910 ~2000
736173419147234683910 ~2000
736176923147235384710 ~2000
736185733441711439910 ~2001
736194731147238946310 ~2000
736235063147247012710 ~2000
736261583147252316710 ~2000
736275119147255023910 ~2000
736295243147259048710 ~2000
736334411147266882310 ~2000
736352483147270496710 ~2000
7363597871325447616711 ~2003
7363620611178179297711 ~2002
736364831147272966310 ~2000
736400783147280156710 ~2000
736488251147297650310 ~2000
Exponent Prime Factor Digits Year
736496483147299296710 ~2000
736506119147301223910 ~2000
736510559147302111910 ~2000
736524851147304970310 ~2000
736526537441915922310 ~2001
736581407589265125710 ~2002
736582163147316432710 ~2000
736593421441956052710 ~2001
736617437589293949710 ~2002
736645571147329114310 ~2000
7366651331178664212911 ~2002
736689377442013626310 ~2001
736692623147338524710 ~2000
736693271147338654310 ~2000
736693571147338714310 ~2000
736712831147342566310 ~2000
736719197589375357710 ~2002
736721519147344303910 ~2000
736778677442067206310 ~2001
736893461442136076710 ~2001
736910771147382154310 ~2000
7369847392358351164911 ~2003
736991603147398320710 ~2000
736993931147398786310 ~2000
737041637442224982310 ~2001
Exponent Prime Factor Digits Year
737041751147408350310 ~2000
737042171147408434310 ~2000
737042717442225630310 ~2001
737052083147410416710 ~2000
737072183147414436710 ~2000
737073511737073511110 ~2002
737091119147418223910 ~2000
737127491147425498310 ~2000
737131319147426263910 ~2000
737132783147426556710 ~2000
737140643147428128710 ~2000
737228483147445696710 ~2000
737254571147450914310 ~2000
737255137442353082310 ~2001
737283083147456616710 ~2000
737294903147458980710 ~2000
737313959147462791910 ~2000
73731718114598880183912 ~2005
737330999147466199910 ~2000
737375519147475103910 ~2000
737379431147475886310 ~2000
737442263147488452710 ~2000
737445323147489064710 ~2000
7374499811179919969711 ~2002
737458573442475143910 ~2001
Exponent Prime Factor Digits Year
73746763718141703870312 ~2005
737520107590016085710 ~2002
737570303147514060710 ~2000
737591399147518279910 ~2000
737625389590100311310 ~2002
737640203147528040710 ~2000
737667743147533548710 ~2000
737678783147535756710 ~2000
737679263147535852710 ~2000
737745191147549038310 ~2000
737756759147551351910 ~2000
737778731147555746310 ~2000
737807963147561592710 ~2000
737819399147563879910 ~2000
737822237590257789710 ~2002
737854979147570995910 ~2000
737910119147582023910 ~2000
737913251147582650310 ~2000
737914139147582827910 ~2000
737934083147586816710 ~2000
737955479147591095910 ~2000
737972783147594556710 ~2000
7379782396051421559911 ~2004
737987291147597458310 ~2000
7380041771180806683311 ~2002
3450
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25-07-20