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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
657546577394527946310 ~2001
657567203131513440710 ~2000
657572939131514587910 ~2000
6575827731578198655311 ~2003
657585569526068455310 ~2001
657596603131519320710 ~2000
657606617526085293710 ~2001
657607903657607903110 ~2002
657629699131525939910 ~2000
657639791131527958310 ~2000
657642157394585294310 ~2001
657642191526113752910 ~2001
657660023131532004710 ~2000
657660323131532064710 ~2000
657678493394607095910 ~2001
657713351131542670310 ~2000
657741323131548264710 ~2000
657759551131551910310 ~2000
657763391131552678310 ~2000
6577635671183974420711 ~2002
657769163131553832710 ~2000
657789323131557864710 ~2000
657841451131568290310 ~2000
657858683131571736710 ~2000
657878099131575619910 ~2000
Exponent Prime Factor Digits Year
657883511131576702310 ~2000
657896051131579210310 ~2000
657908549526326839310 ~2001
657910439131582087910 ~2000
657915329921081460710 ~2002
657917999131583599910 ~2000
657923837394754302310 ~2001
657936053394761631910 ~2001
657959411131591882310 ~2000
6579646691579115205711 ~2003
657979559131595911910 ~2000
6579805691447557251911 ~2002
6579808933553096822311 ~2003
658005143131601028710 ~2000
658018331131603666310 ~2000
658032299131606459910 ~2000
658033157526426525710 ~2001
658036559131607311910 ~2000
658040759131608151910 ~2000
658078859131615771910 ~2000
658085819131617163910 ~2000
658094831131618966310 ~2000
658103843131620768710 ~2000
658113217394867930310 ~2001
658122539131624507910 ~2000
Exponent Prime Factor Digits Year
658143203131628640710 ~2000
658170479131634095910 ~2000
658175711131635142310 ~2000
658180571131636114310 ~2000
658181879131636375910 ~2000
658193881394916328710 ~2001
658209659131641931910 ~2000
658226171131645234310 ~2000
658271279131654255910 ~2000
658279211131655842310 ~2000
658287491131657498310 ~2000
658305803131661160710 ~2000
658341539131668307910 ~2000
6583511534213447379311 ~2004
658351277395010766310 ~2001
658353791131670758310 ~2000
658358111131671622310 ~2000
658370243131674048710 ~2000
658377539526702031310 ~2001
658383779131676755910 ~2000
658404503131680900710 ~2000
658440539131688107910 ~2000
658466617395079970310 ~2001
658497299131699459910 ~2000
658512733395107639910 ~2001
Exponent Prime Factor Digits Year
658577357922008299910 ~2002
658577407658577407110 ~2002
658601771131720354310 ~2000
658607063131721412710 ~2000
658609943131721988710 ~2000
658628363131725672710 ~2000
658646531131729306310 ~2000
658648643131729728710 ~2000
658666091131733218310 ~2000
658690523131738104710 ~2000
658698791131739758310 ~2000
658722023131744404710 ~2000
658731851131746370310 ~2000
658739759131747951910 ~2000
658742159131748431910 ~2000
658771271131754254310 ~2000
658801823131760364710 ~2000
658804703131760940710 ~2000
658844807527075845710 ~2001
658867523131773504710 ~2000
658885693395331415910 ~2001
658895351131779070310 ~2000
658896101527116880910 ~2001
658907159131781431910 ~2000
658909259131781851910 ~2000
3538
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25-11-17