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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
6565145711050423313711 ~2002
656525231131305046310 ~2000
656543159131308631910 ~2000
656550577393930346310 ~2001
656555111131311022310 ~2000
656561957393937174310 ~2001
656578927656578927110 ~2002
656581753393949051910 ~2001
656638211131327642310 ~2000
656675483131335096710 ~2000
656695859131339171910 ~2000
656699663131339932710 ~2000
656729999131345999910 ~2000
656734511131346902310 ~2000
656741159131348231910 ~2000
656743177394045906310 ~2001
656750981394050588710 ~2001
656776031131355206310 ~2000
656792651131358530310 ~2000
6568346112627338444111 ~2003
656834819131366963910 ~2000
656834999131366999910 ~2000
65685895316158730243912 ~2005
656872739131374547910 ~2000
656874623131374924710 ~2000
Exponent Prime Factor Digits Year
656879843131375968710 ~2000
6569236791182462622311 ~2002
656950691131390138310 ~2000
656965079131393015910 ~2000
656967071131393414310 ~2000
656975681525580544910 ~2001
656992943131398588710 ~2000
657002399131400479910 ~2000
657021613394212967910 ~2001
657074111131414822310 ~2000
657076499131415299910 ~2000
657097751131419550310 ~2000
657103319131420663910 ~2000
657133751131426750310 ~2000
657140483131428096710 ~2000
657154633394292779910 ~2001
6571553271182879588711 ~2002
657158039131431607910 ~2000
657200903131440180710 ~2000
657203699131440739910 ~2000
657227777394336666310 ~2001
657272593394363555910 ~2001
6572727131577454511311 ~2003
657276803131455360710 ~2000
657304619131460923910 ~2000
Exponent Prime Factor Digits Year
657313451131462690310 ~2000
657327299131465459910 ~2000
657360323131472064710 ~2000
657382751131476550310 ~2000
657385259131477051910 ~2000
657393623131478724710 ~2000
657397379525917903310 ~2001
657427229525941783310 ~2001
657436319131487263910 ~2000
657458423131491684710 ~2000
657471539131494307910 ~2000
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
Exponent Prime Factor Digits Year
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
657883511131576702310 ~2000
657896051131579210310 ~2000
657908549526326839310 ~2001
657910439131582087910 ~2000
657915329921081460710 ~2002
657917999131583599910 ~2000
657923837394754302310 ~2001
3522
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25-11-02