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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
2781854819556370963910 ~2005
27819029715007425347911 ~2007
27819225971669153558311 ~2006
2781930551556386110310 ~2005
2781955751556391150310 ~2005
2782000631556400126310 ~2005
2782014479556402895910 ~2005
27820256211669215372711 ~2006
27821788011669307280711 ~2006
2782185911556437182310 ~2005
2782650371556530074310 ~2005
2782845599556569119910 ~2005
278287744318366991123912 ~2008
2782926383556585276710 ~2005
27829426972226354157711 ~2006
2783147963556629592710 ~2005
27831597498349479247111 ~2008
2783198003556639600710 ~2005
2783237711556647542310 ~2005
2783317739556663547910 ~2005
27834496372226759709711 ~2006
27835100331670106019911 ~2006
2783574179556714835910 ~2005
27835840931670150455911 ~2006
2783597039556719407910 ~2005
Exponent Prime Factor Digits Year
2783795411556759082310 ~2005
2783841479556768295910 ~2005
2784028199556805639910 ~2005
278412184926170745380712 ~2009
2784160859556832171910 ~2005
2784210263556842052710 ~2005
2784237563556847512710 ~2005
2784241511556848302310 ~2005
2784389243556877848710 ~2005
2784457103556891420710 ~2005
2784544583556908916710 ~2005
27849094312227927544911 ~2006
2784957023556991404710 ~2005
2785025471557005094310 ~2005
27850677731671040663911 ~2006
278518721328408909572712 ~2009
27852837131671170227911 ~2006
2785339943557067988710 ~2005
2785440491557088098310 ~2005
27854530632785453063111 ~2006
2785490663557098132710 ~2005
2785532423557106484710 ~2005
2785548263557109652710 ~2005
27857111331671426679911 ~2006
2785763483557152696710 ~2005
Exponent Prime Factor Digits Year
278588253732873413936712 ~2009
2785933211557186642310 ~2005
27861103571671666214311 ~2006
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
2787690023557538004710 ~2005
2787768143557553628710 ~2005
2787815339557563067910 ~2005
27882435611672946136711 ~2006
2788445039557689007910 ~2005
2788720703557744140710 ~2005
2788879811557775962310 ~2005
2788959011557791802310 ~2005
27889592812231167424911 ~2006
Exponent Prime Factor Digits Year
27890488372231239069711 ~2006
2789065991557813198310 ~2005
2789147363557829472710 ~2005
27891626333904827686311 ~2007
2789240579557848115910 ~2005
2789438339557887667910 ~2005
2789722079557944415910 ~2005
2789879051557975810310 ~2005
27899904731673994283911 ~2006
2790104231558020846310 ~2005
27901744274464279083311 ~2007
2790174503558034900710 ~2005
2790202931558040586310 ~2005
27902082292232166583311 ~2006
2790221519558044303910 ~2005
27904476315022805735911 ~2007
2790513683558102736710 ~2005
2790712763558142552710 ~2005
2790730619558146123910 ~2005
27908591774465374683311 ~2007
279114640120096254087312 ~2009
27911555595024080006311 ~2007
2791226411558245282310 ~2005
2791253351558250670310 ~2005
2791325483558265096710 ~2005
3845
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25-04-13