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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
30037523600750478 ~1989
30037751600755038 ~1989
300389475407010479 ~1992
30039539600790798 ~1989
30039623600792478 ~1989
300401331802407999 ~1991
30041021360492252110 ~1994
30042263600845278 ~1989
300423434806774899 ~1992
30042359600847198 ~1989
30042851600857038 ~1989
30044603600892078 ~1989
30046319600926398 ~1989
300464833004648319 ~1991
300465712403725699 ~1991
30046721234364423910 ~1993
300473771802842639 ~1991
30048719600974398 ~1989
30048923600978478 ~1989
30050159601003198 ~1989
300513475409242479 ~1992
30052111246427310310 ~1993
30052679601053598 ~1989
30052871601057438 ~1989
300530331803181999 ~1991
Exponent Prime Factor Digits Year
300531313005313119 ~1991
30053591601071838 ~1989
30054023601080478 ~1989
30054239601084798 ~1989
300542593005425919 ~1991
30054263601085278 ~1989
30054613408742736910 ~1994
30055799601115998 ~1989
300565131803390799 ~1991
300586811803520879 ~1991
30059699601193998 ~1989
30061259601225198 ~1989
30062159601243198 ~1989
300622675411208079 ~1992
300629577215109699 ~1992
300631619620211539 ~1992
30063959601279198 ~1989
30064871601297438 ~1989
30065699601313998 ~1989
30066059601321198 ~1989
300661371803968239 ~1991
300664811803988879 ~1991
30069443601388878 ~1989
300704211804225279 ~1991
30070979601419598 ~1989
Exponent Prime Factor Digits Year
30072863601457278 ~1989
30073343601466878 ~1989
30073451601469038 ~1989
30073691601473838 ~1989
300745033007450319 ~1991
300749233007492319 ~1991
30075011601500238 ~1989
30075359601507198 ~1989
300753712406029699 ~1991
30077051601541038 ~1989
30077303601546078 ~1989
30077759601555198 ~1989
30078239601564798 ~1989
30078479601569598 ~1989
30079799601595998 ~1989
30079943601598878 ~1989
30080339601606798 ~1989
30080579601611598 ~1989
30080663601613278 ~1989
30081119601622398 ~1989
300817814813084979 ~1992
30081839601636798 ~1989
30082523601650478 ~1989
300828172406625379 ~1991
30083363601667278 ~1989
Exponent Prime Factor Digits Year
300839411805036479 ~1991
300840172406721379 ~1991
300842331805053999 ~1991
30084779601695598 ~1989
30085343601706878 ~1989
30085691601713838 ~1989
300868012406944099 ~1991
300890211805341279 ~1991
30089459601789198 ~1989
300896872407174979 ~1991
30089903601798078 ~1989
300900411805402479 ~1991
30090311601806238 ~1989
300909371805456239 ~1991
30091331601826638 ~1989
30092039601840798 ~1989
30092963601859278 ~1989
300929692407437539 ~1991
30093023601860478 ~1989
300931993009319919 ~1991
30093773162506374310 ~1993
30094019601880398 ~1989
300946393009463919 ~1991
30094703601894078 ~1989
300948171805689039 ~1991
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