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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
657103319131420663910 ~2000
657133751131426750310 ~2000
657140483131428096710 ~2000
657154633394292779910 ~2001
6571553271182879588711 ~2002
657158039131431607910 ~2000
657186113394311667910 ~2001
657200903131440180710 ~2000
657203699131440739910 ~2000
657227777394336666310 ~2001
657272593394363555910 ~2001
6572727131577454511311 ~2003
657276803131455360710 ~2000
657304619131460923910 ~2000
657313451131462690310 ~2000
657327299131465459910 ~2000
657360323131472064710 ~2000
657382751131476550310 ~2000
657385259131477051910 ~2000
657393623131478724710 ~2000
657397379525917903310 ~2001
657427229525941783310 ~2001
657436319131487263910 ~2000
657458423131491684710 ~2000
657471539131494307910 ~2000
Exponent Prime Factor Digits Year
6574993191577998365711 ~2003
657502883131500576710 ~2000
657516371131503274310 ~2000
657518651131503730310 ~2000
657535751131507150310 ~2000
657540791131508158310 ~2000
657546503131509300710 ~2000
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
Exponent Prime Factor Digits Year
657763391131552678310 ~2000
6577635671183974420711 ~2002
657769163131553832710 ~2000
657789323131557864710 ~2000
657841451131568290310 ~2000
657858683131571736710 ~2000
657878099131575619910 ~2000
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
Exponent Prime Factor Digits Year
658040759131608151910 ~2000
658078859131615771910 ~2000
658085819131617163910 ~2000
658094831131618966310 ~2000
658103843131620768710 ~2000
658113217394867930310 ~2001
658122539131624507910 ~2000
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
3570
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25-12-14