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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
2784389243556877848710 ~2005
2784457103556891420710 ~2005
2784481319556896263910 ~2005
2784544583556908916710 ~2005
27846185392227694831311 ~2006
27849094312227927544911 ~2006
2784957023556991404710 ~2005
2785025471557005094310 ~2005
27850677731671040663911 ~2006
278518721328408909572712 ~2009
27852837131671170227911 ~2006
27854113672228329093711 ~2006
27854358411671261504711 ~2006
2785440491557088098310 ~2005
27854530632785453063111 ~2007
2785490663557098132710 ~2005
2785532423557106484710 ~2005
2785548263557109652710 ~2005
27857111331671426679911 ~2006
2785754243557150848710 ~2005
2785763483557152696710 ~2005
278588253732873413936712 ~2009
2785933211557186642310 ~2005
27859403092228752247311 ~2006
27861103571671666214311 ~2006
Exponent Prime Factor Digits Year
2786123891557224778310 ~2005
27864595131671875707911 ~2006
2786645171557329034310 ~2005
27866727112229338168911 ~2006
2786742503557348500710 ~2005
2786787851557357570310 ~2005
2786831171557366234310 ~2005
27869424795016496462311 ~2007
2787121391557424278310 ~2005
27871330072229706405711 ~2006
2787156719557431343910 ~2005
2787321059557464211910 ~2005
2787468731557493746310 ~2005
2787596939557519387910 ~2005
2787690023557538004710 ~2005
2787768143557553628710 ~2005
2787815339557563067910 ~2005
2788006751557601350310 ~2005
27882435611672946136711 ~2006
2788445039557689007910 ~2005
2788710779557742155910 ~2005
2788720703557744140710 ~2005
2788879811557775962310 ~2005
2788939739557787947910 ~2005
2788950551557790110310 ~2005
Exponent Prime Factor Digits Year
27889516912231161352911 ~2006
2788959011557791802310 ~2005
27889592812231167424911 ~2006
27890488372231239069711 ~2006
2789065991557813198310 ~2005
2789147363557829472710 ~2005
27891626333904827686311 ~2007
2789240579557848115910 ~2005
2789438339557887667910 ~2005
2789722079557944415910 ~2005
2789879051557975810310 ~2005
2789881343557976268710 ~2005
27899904731673994283911 ~2006
2790104231558020846310 ~2005
27901391171674083470311 ~2006
27901744274464279083311 ~2007
2790174503558034900710 ~2005
2790202931558040586310 ~2005
27902082292232166583311 ~2006
2790221519558044303910 ~2005
27904476315022805735911 ~2007
2790513683558102736710 ~2005
2790640283558128056710 ~2005
2790712763558142552710 ~2005
2790730619558146123910 ~2005
Exponent Prime Factor Digits Year
27908591774465374683311 ~2007
27911372571674682354311 ~2006
279114640120096254087312 ~2009
27911555595024080006311 ~2007
2791226411558245282310 ~2005
2791253351558250670310 ~2005
2791325483558265096710 ~2005
279138386311723812224712 ~2008
2791470659558294131910 ~2005
2791602431558320486310 ~2005
27916173978374852191111 ~2008
2791654559558330911910 ~2005
27919216611675152996711 ~2006
2791942619558388523910 ~2005
27919636131675178167911 ~2006
27919693634467150980911 ~2007
2791974203558394840710 ~2005
27919939931675196395911 ~2006
2792018063558403612710 ~2005
2792220323558444064710 ~2005
2792270531558454106310 ~2005
2792335103558467020710 ~2005
2792342963558468592710 ~2005
27924753131675485187911 ~2006
2792524379558504875910 ~2005
4270
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26-02-08