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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
3968186517936373039 ~1998
3968245797936491599 ~1998
3968412837936825679 ~1998
3968658731190597619111 ~2001
3968808117937616239 ~1998
3968822231587528892111 ~2001
396890743635025188910 ~2000
396894031635030449710 ~2000
396900607635040971310 ~2000
396900797238140478310 ~1999
396908881238145328710 ~1999
396925769317540615310 ~2000
3969676437939352879 ~1998
3969783117939566239 ~1998
3969849117939698239 ~1998
3969940437939880879 ~1998
396994397238196638310 ~1999
3970176837940353679 ~1998
397046473238227883910 ~1999
3970699197941398399 ~1998
397074893238244935910 ~1999
397097807317678245710 ~2000
3970990197941980399 ~1998
397114541238268724710 ~1999
3971164917942329839 ~1998
Exponent Prime Factor Digits Year
3971239317942478639 ~1998
3971262837942525679 ~1998
397141337238284802310 ~1999
397147981238288788710 ~1999
3971775597943551199 ~1998
3971876637943753279 ~1998
397189867714941760710 ~2000
3972028317944056639 ~1998
397217573238330543910 ~1999
397222957238333774310 ~1999
3972273597944547199 ~1998
3972609597945219199 ~1998
3972689397945378799 ~1998
3972739797945479599 ~1998
3973070637946141279 ~1998
3973118997946237999 ~1998
3973156797946313599 ~1998
397327421317861936910 ~2000
3973279797946559599 ~1998
3973391397946782799 ~1998
3973556397947112799 ~1998
3973729317947458639 ~1998
3973760997947521999 ~1998
3973761237947522479 ~1998
3973800597947601199 ~1998
Exponent Prime Factor Digits Year
3974092197948184399 ~1998
397428667397428667110 ~2000
3974335797948671599 ~1998
3974454597948909199 ~1998
3974455197948910399 ~1998
3974496597948993199 ~1998
3974525637949051279 ~1998
3974674197949348399 ~1998
3974790117949580239 ~1998
3974999397949998799 ~1998
3975022691908010891311 ~2002
3975162117950324239 ~1998
397519201238511520710 ~1999
397529701238517820710 ~1999
3975336597950673199 ~1998
3975368517950737039 ~1998
397539631715571335910 ~2000
397555831397555831110 ~2000
3975582117951164239 ~1998
397564441636103105710 ~2000
3975674037951348079 ~1998
397600481318080384910 ~2000
3976051797952103599 ~1998
397616951715710511910 ~2000
397622501318098000910 ~2000
Exponent Prime Factor Digits Year
3976265771192879731111 ~2001
3976315437952630879 ~1998
3976487637952975279 ~1998
3976488717952977439 ~1998
397659641318127712910 ~2000
397660607318128485710 ~2000
397680719318144575310 ~2000
397683899954441357710 ~2001
397698781238619268710 ~1999
3977175117954350239 ~1998
3977417037954834079 ~1998
3977451237954902479 ~1998
397749977318199981710 ~2000
397757447318205957710 ~2000
397758437238655062310 ~1999
397761509954627621710 ~2001
3977627333420759503911 ~2002
3977689917955379839 ~1998
397775143397775143110 ~2000
3977856237955712479 ~1998
3977861397955722799 ~1998
397791217238674730310 ~1999
397812977318250381710 ~2000
3978140997956281999 ~1998
397831817318265453710 ~2000
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25-05-04