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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
3066165596132331199 ~1997
3066166436132332879 ~1997
306623923490598276910 ~1999
306630167245304133710 ~1999
306635401183981240710 ~1998
306635479306635479110 ~1999
3066397316132794639 ~1997
3066495716132991439 ~1997
3066499436132998879 ~1997
306658907245327125710 ~1999
3066681116133362239 ~1997
306668567552003420710 ~2000
306674141184004484710 ~1998
306677213184006327910 ~1998
3066899516133799039 ~1997
3066920636133841279 ~1997
3066950996133901999 ~1997
306699097490718555310 ~1999
306712013184027207910 ~1998
306716491490746385710 ~1999
306721147306721147110 ~1999
306723029429412240710 ~1999
306737267245389813710 ~1999
3067402191472353051311 ~2001
306756799736216317710 ~2000
Exponent Prime Factor Digits Year
3067612196135224399 ~1997
3067636796135273599 ~1997
306774527552194148710 ~2000
3067787396135574799 ~1997
3068148836136297679 ~1997
306834113184100467910 ~1998
3068343836136687679 ~1997
306837857184102714310 ~1998
3068380796136761599 ~1997
3068420996136841999 ~1997
3068466236136932479 ~1997
3068590796137181599 ~1997
3068609036137218079 ~1997
3068654516137309039 ~1997
3068665316137330639 ~1997
3068706596137413199 ~1997
306872299306872299110 ~1999
3068758196137516399 ~1997
306877663306877663110 ~1999
306878687245502949710 ~1999
306893507552408312710 ~2000
3068957036137914079 ~1997
306896279552413302310 ~2000
3068998196137996399 ~1997
3069173996138347999 ~1997
Exponent Prime Factor Digits Year
306923413184154047910 ~1998
3069246596138493199 ~1997
3069279836138559679 ~1997
306930433184158259910 ~1998
306930973491089556910 ~1999
3069333836138667679 ~1997
3069427916138855839 ~1997
3069674036139348079 ~1997
306967597184180558310 ~1998
3069701516139403039 ~1997
3069770396139540799 ~1997
3069778436139556879 ~1997
3069828836139657679 ~1997
3069860632026108015911 ~2001
306994861184196916710 ~1998
307000303307000303110 ~1999
3070087316140174639 ~1997
3070103396140206799 ~1997
3070142996140285999 ~1997
3070345316140690639 ~1997
3070359596140719199 ~1997
3070377236140754479 ~1997
3070416716140833439 ~1997
3070422716140845439 ~1997
307054093184232455910 ~1998
Exponent Prime Factor Digits Year
3070546916141093839 ~1997
3070559396141118799 ~1997
307078301184246980710 ~1998
3070956836141913679 ~1997
3070963436141926879 ~1997
3070964516141929039 ~1997
3071155796142311599 ~1997
3071221811474186468911 ~2001
3071248796142497599 ~1997
307127813429978938310 ~1999
3071378996142757999 ~1997
3071398796142797599 ~1997
3071501639398794987911 ~2003
307155689430017964710 ~1999
307160761184296456710 ~1998
3071638916143277839 ~1997
3071641316143282639 ~1997
307164457491463131310 ~1999
307179617430051463910 ~1999
3071798636143597279 ~1997
3071873516143747039 ~1997
3071979836143959679 ~1997
3072001196144002399 ~1997
307205999552970798310 ~2000
307208731307208731110 ~1999
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25-06-08