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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
2779801991555960398310 ~2005
2779835939555967187910 ~2005
2779937819555987563910 ~2005
2779964279555992855910 ~2005
2780035943556007188710 ~2005
2780081651556016330310 ~2005
27800844412224067552911 ~2006
2780091911556018382310 ~2005
278014456924465272207312 ~2009
2780267879556053575910 ~2005
2780275691556055138310 ~2005
2780525063556105012710 ~2005
27805525571668331534311 ~2006
2780569919556113983910 ~2005
2780580311556116062310 ~2005
27806868616117511094311 ~2007
27807613392780761339111 ~2006
2780846639556169327910 ~2005
2780868791556173758310 ~2005
27808841515005591471911 ~2007
2780999843556199968710 ~2005
2781004463556200892710 ~2005
2781046979556209395910 ~2005
2781065879556213175910 ~2005
27810801496118376327911 ~2007
Exponent Prime Factor Digits Year
2781235031556247006310 ~2005
2781573023556314604710 ~2005
2781619343556323868710 ~2005
2781750971556350194310 ~2005
27817760475007196884711 ~2007
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
2783211659556642331910 ~2005
2783237711556647542310 ~2005
Exponent Prime Factor Digits Year
2783317739556663547910 ~2005
27834496372226759709711 ~2006
27835100331670106019911 ~2006
2783574179556714835910 ~2005
27835840931670150455911 ~2006
2783597039556719407910 ~2005
2783716223556743244710 ~2005
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
Exponent Prime Factor Digits Year
2785440491557088098310 ~2005
27854530632785453063111 ~2006
2785490663557098132710 ~2005
2785532423557106484710 ~2005
2785548263557109652710 ~2005
27857111331671426679911 ~2006
2785763483557152696710 ~2005
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
2787596939557519387910 ~2005
2787690023557538004710 ~2005
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25-06-01