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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
3190255091638051018310 ~2005
31903962193190396219111 ~2007
3190483799638096759910 ~2005
3190641491638128298310 ~2005
3190721063638144212710 ~2005
3190766399638153279910 ~2005
3190792079638158415910 ~2005
3191020499638204099910 ~2005
31910530072552842405711 ~2007
3191286239638257247910 ~2005
3191288519638257703910 ~2005
3191323643638264728710 ~2005
31914677934468054910311 ~2007
3191511203638302240710 ~2005
3191712371638342474310 ~2005
3191720303638344060710 ~2005
3191858303638371660710 ~2005
31918616771915117006311 ~2006
3191866103638373220710 ~2005
3191916323638383264710 ~2005
3191954879638390975910 ~2005
3191964563638392912710 ~2005
31920163011915209780711 ~2006
3192160343638432068710 ~2005
3192380699638476139910 ~2005
Exponent Prime Factor Digits Year
3192405059638481011910 ~2005
31925014012554001120911 ~2007
31925345571915520734311 ~2006
31925716637662171991311 ~2008
3192571979638514395910 ~2005
31927690571915661434311 ~2006
3192945911638589182310 ~2005
3193132583638626516710 ~2005
3193177271638635454310 ~2005
3193179659638635931910 ~2005
31932033313193203331111 ~2007
31933530771916011846311 ~2006
3193944791638788958310 ~2005
319398002935133780319112 ~2009
3194064311638812862310 ~2005
3194373911638874782310 ~2005
31944394993194439499111 ~2007
31946222411916773344711 ~2006
3194722463638944492710 ~2005
31950056572556004525711 ~2007
3195071123639014224710 ~2005
31951270972556101677711 ~2007
3195146351639029270310 ~2005
31955538592556443087311 ~2007
3195737999639147599910 ~2005
Exponent Prime Factor Digits Year
3195769319639153863910 ~2005
31957728892556618311311 ~2007
3196033679639206735910 ~2005
31961453771917687226311 ~2006
31961558571917693514311 ~2006
31962447892556995831311 ~2007
31962569272557005541711 ~2007
3196324403639264880710 ~2005
3196357751639271550310 ~2005
3196368359639273671910 ~2005
31964781611917886896711 ~2006
31966546612557323728911 ~2007
3196682039639336407910 ~2005
31967881515114861041711 ~2007
31969828571918189714311 ~2006
3197008583639401716710 ~2005
319720247310231047913712 ~2008
31972297275755013508711 ~2008
3197258219639451643910 ~2005
3197266991639453398310 ~2005
3197457383639491476710 ~2005
3197726183639545236710 ~2005
31978698592558295887311 ~2007
31979588574477142399911 ~2007
3198004343639600868710 ~2005
Exponent Prime Factor Digits Year
3198079823639615964710 ~2005
3198372491639674498310 ~2005
3198467243639693448710 ~2005
3198476423639695284710 ~2005
3198655259639731051910 ~2005
31988573992559085919311 ~2007
3199149983639829996710 ~2005
31993020131919581207911 ~2006
3199436819639887363910 ~2005
3199835711639967142310 ~2005
3199889939639977987910 ~2005
3200412623640082524710 ~2005
3200439563640087912710 ~2005
3200475203640095040710 ~2005
32004958633200495863111 ~2007
3200543579640108715910 ~2005
3200578679640115735910 ~2005
32006513411920390804711 ~2006
3200882039640176407910 ~2005
3201071603640214320710 ~2005
32011632435121861188911 ~2007
3201203891640240778310 ~2005
3201449159640289831910 ~2005
3201578519640315703910 ~2005
3201685139640337027910 ~2005
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