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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
633759851126751970310 ~2000
6337672914182864120711 ~2003
633780263126756052710 ~2000
633791051126758210310 ~2000
6338339891394434775911 ~2002
633842663126768532710 ~2000
633849599507079679310 ~2001
633871583126774316710 ~2000
6339081313042759028911 ~2003
633910559126782111910 ~2000
633926417380355850310 ~2001
633932483126786496710 ~2000
633938939126787787910 ~2000
633940313380364187910 ~2001
633941603126788320710 ~2000
6339521471521485152911 ~2002
633957983126791596710 ~2000
633965063126793012710 ~2000
633969503126793900710 ~2000
633980531126796106310 ~2000
633985043126797008710 ~2000
633993443126798688710 ~2000
634003511507202808910 ~2001
634018223126803644710 ~2000
634030583126806116710 ~2000
Exponent Prime Factor Digits Year
634055249507244199310 ~2001
634080143126816028710 ~2000
634091257380454754310 ~2001
634097903126819580710 ~2000
634118123126823624710 ~2000
6341272373043810737711 ~2003
634133603126826720710 ~2000
634147883126829576710 ~2000
634183391126836678310 ~2000
634214123126842824710 ~2000
634214411126842882310 ~2000
634226111126845222310 ~2000
634235401380541240710 ~2001
634245977507396781710 ~2001
634262411126852482310 ~2000
634285859126857171910 ~2000
634299293380579575910 ~2001
634311661380586996710 ~2001
634322471126864494310 ~2000
634348283126869656710 ~2000
634349783126869956710 ~2000
634388267507510613710 ~2001
634388399126877679910 ~2000
634389779126877955910 ~2000
634398683126879736710 ~2000
Exponent Prime Factor Digits Year
634416173380649703910 ~2001
634429963634429963110 ~2001
634440623126888124710 ~2000
634475141380685084710 ~2001
634478303126895660710 ~2000
634485023126897004710 ~2000
6344896932537958772111 ~2003
634498031126899606310 ~2000
634526999126905399910 ~2000
634556183126911236710 ~2000
63456766716371845808712 ~2005
634573211126914642310 ~2000
634601711126920342310 ~2000
634613099126922619910 ~2000
634643543126928708710 ~2000
634650299507720239310 ~2001
634709651126941930310 ~2000
634709879126941975910 ~2000
634727279126945455910 ~2000
634732139126946427910 ~2000
634781891126956378310 ~2000
634789703126957940710 ~2000
634815557380889334310 ~2001
634828391126965678310 ~2000
634839677380903806310 ~2001
Exponent Prime Factor Digits Year
634844531126968906310 ~2000
6348454271015752683311 ~2002
634851839126970367910 ~2000
634896659126979331910 ~2000
634900151126980030310 ~2000
634911131126982226310 ~2000
6349145713682504511911 ~2003
634915499126983099910 ~2000
634917443126983488710 ~2000
634939751126987950310 ~2000
634945253380967151910 ~2001
634952953380971771910 ~2001
634960223126992044710 ~2000
634969019126993803910 ~2000
634970711126994142310 ~2000
634987583126997516710 ~2000
634991501507993200910 ~2001
635001431127000286310 ~2000
635010269508008215310 ~2001
635023463127004692710 ~2000
635033573889047002310 ~2002
635038513381023107910 ~2001
635049983127009996710 ~2000
635074337381044602310 ~2001
635103191127020638310 ~2000
3506
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25-11-02