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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
4351415998702831999 ~1998
435143461261086076710 ~2000
435157519435157519110 ~2000
4351673638703347279 ~1998
4351964398703928799 ~1998
435197879348158303310 ~2000
435201161261120696710 ~2000
4352144638704289279 ~1998
4352347438704694879 ~1998
4352623918705247839 ~1998
435272597609381635910 ~2001
4352871372089378257711 ~2002
435287819348230255310 ~2000
4352891038705782079 ~1998
435304031783547255910 ~2001
4353131398706262799 ~1998
435343213261205927910 ~2000
4353602398707204799 ~1998
435370861261222516710 ~2000
4353713998707427999 ~1998
4353800518707601039 ~1998
4353810598707621199 ~1998
4354015798708031599 ~1998
4354095118708190239 ~1998
4354172511393335203311 ~2001
Exponent Prime Factor Digits Year
4354584838709169679 ~1998
4354600438709200879 ~1998
4354656238709312479 ~1998
4354681798709363599 ~1998
4354805998709611999 ~1998
4354884118709768239 ~1998
4355047438710094879 ~1998
435507559435507559110 ~2000
4355110391045226493711 ~2001
4355272318710544639 ~1998
4355488198710976399 ~1998
4355758918711517839 ~1998
4355824318711648639 ~1998
435585499435585499110 ~2000
4355902318711804639 ~1998
4356033238712066479 ~1998
4356309118712618239 ~1998
4356496318712992639 ~1998
4356515638713031279 ~1998
435651961261391176710 ~2000
4356614638713229279 ~1998
4356683398713366799 ~1998
435680153261408091910 ~2000
4356832198713664399 ~1998
4357031398714062799 ~1998
Exponent Prime Factor Digits Year
4357038838714077679 ~1998
4357067638714135279 ~1998
4357087438714174879 ~1998
435709961348567968910 ~2000
435711917348569533710 ~2000
4357194477320086709711 ~2003
4357210318714420639 ~1998
4357348571045763656911 ~2001
4357468872788780076911 ~2002
4357795798715591599 ~1998
435801413261480847910 ~2000
4358094838716189679 ~1998
4358155918716311839 ~1998
435819533610147346310 ~2001
4358254438716508879 ~1998
4358386318716772639 ~1998
4358464318716928639 ~1998
435857813610200938310 ~2001
4358608198717216399 ~1998
4358623918717247839 ~1998
435863009610208212710 ~2001
4358663518717327039 ~1998
4358675638717351279 ~1998
4358883118717766239 ~1998
4358893798717787599 ~1998
Exponent Prime Factor Digits Year
4358957038717914079 ~1998
4359101518718203039 ~1998
4359266638718533279 ~1998
4359402838718805679 ~1998
435958121261574872710 ~2000
4359679798719359599 ~1998
4359863396016611478311 ~2003
435997141261598284710 ~2000
4359978238719956479 ~1998
436000879436000879110 ~2000
436005197348804157710 ~2000
4360056118720112239 ~1998
436010369348808295310 ~2000
436012001261607200710 ~2000
4360399798720799599 ~1998
4360456798720913599 ~1998
436051271348841016910 ~2000
4360534798721069599 ~1998
4360615798721231599 ~1998
436062017261637210310 ~2000
436062377261637426310 ~2000
4360738438721476879 ~1998
4360739998721479999 ~1998
4360743118721486239 ~1998
436081819436081819110 ~2000
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25-04-13