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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
654038243130807648710 ~2000
654069497392441698310 ~2001
654072329915701260710 ~2002
654095759130819151910 ~2000
654102259654102259110 ~2002
654105059130821011910 ~2000
654162611130832522310 ~2000
654174239130834847910 ~2000
654176339130835267910 ~2000
654208823130841764710 ~2000
654260897392556538310 ~2001
654274151130854830310 ~2000
654311167654311167110 ~2002
654333059130866611910 ~2000
654341453392604871910 ~2001
6543795671177883220711 ~2002
654393959130878791910 ~2000
654395519130879103910 ~2000
654401483130880296710 ~2000
654416831130883366310 ~2000
654428063130885612710 ~2000
654434531130886906310 ~2000
654436463130887292710 ~2000
654443333916220666310 ~2002
654448079130889615910 ~2000
Exponent Prime Factor Digits Year
654464831130892966310 ~2000
654499451130899890310 ~2000
654500711130900142310 ~2000
654526871130905374310 ~2000
6545933831571024119311 ~2003
654620633392772379910 ~2001
654665171130933034310 ~2000
654678023130935604710 ~2000
654681893392809135910 ~2001
654690059130938011910 ~2000
654713861523771088910 ~2001
654715403130943080710 ~2000
654736583130947316710 ~2000
654755291130951058310 ~2000
654766193392859715910 ~2001
654811141392886684710 ~2001
6548138832226367202311 ~2003
654824783130964956710 ~2000
654828203130965640710 ~2000
654839891130967978310 ~2000
654846119130969223910 ~2000
654850739130970147910 ~2000
654877703130975540710 ~2000
654901781392941068710 ~2001
654905183130981036710 ~2000
Exponent Prime Factor Digits Year
6549219471702797062311 ~2003
654925811130985162310 ~2000
654940523130988104710 ~2000
654956051130991210310 ~2000
654958079130991615910 ~2000
654959303130991860710 ~2000
655009391524007512910 ~2001
655018319131003663910 ~2000
655027343131005468710 ~2000
655057883131011576710 ~2000
655059299131011859910 ~2000
655060531655060531110 ~2002
655061783131012356710 ~2000
655062539131012507910 ~2000
655069703131013940710 ~2000
655076843131015368710 ~2000
655096919131019383910 ~2000
655105739131021147910 ~2000
655105991131021198310 ~2000
655109291131021858310 ~2000
655119071131023814310 ~2000
655131203131026240710 ~2000
655131473393078883910 ~2001
655141387655141387110 ~2002
655160111131032022310 ~2000
Exponent Prime Factor Digits Year
6551748373013804250311 ~2003
655195991131039198310 ~2000
655207439131041487910 ~2000
655209757393125854310 ~2001
655214471131042894310 ~2000
655220521393132312710 ~2001
655250639131050127910 ~2000
655262761393157656710 ~2001
655279979131055995910 ~2000
655317671131063534310 ~2000
655367857393220714310 ~2001
655369763131073952710 ~2000
655373423131074684710 ~2000
655383611131076722310 ~2000
655401011131080202310 ~2000
655413119131082623910 ~2000
655419881393251928710 ~2001
655436591131087318310 ~2000
655440563131088112710 ~2000
6554413514325912916711 ~2004
655449071524359256910 ~2001
655465091131093018310 ~2000
655488611131097722310 ~2000
655501499131100299910 ~2000
655514039131102807910 ~2000
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