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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
699695414198172479 ~1993
699704716997047119 ~1994
699708711399417439 ~1992
69970907125947632710 ~1995
699714111399428239 ~1992
699725031399450079 ~1992
699751334198507999 ~1993
699770031399540079 ~1992
69979549377889564710 ~1996
699803031399606079 ~1992
699810711399621439 ~1992
699841574199049439 ~1993
699865311399730639 ~1992
699870591399741199 ~1992
69987859125978146310 ~1995
699881991399763999 ~1992
699893031399786079 ~1992
699894111399788239 ~1992
699903591399807199 ~1992
69990673153979480710 ~1995
69991027111985643310 ~1994
699913734199482399 ~1993
699920991399841999 ~1992
699947511399895039 ~1992
699949734199698399 ~1993
Exponent Prime Factor Digits Year
699966831399933679 ~1992
699973311399946639 ~1992
699986991399973999 ~1992
69999469153998831910 ~1995
700031814200190879 ~1993
700055477000554719 ~1994
700090739801270239 ~1994
700094031400188079 ~1992
700122591400245199 ~1992
700140134200840799 ~1993
700142511400285039 ~1992
70014611182037988710 ~1995
700147791400295599 ~1992
700158111400316239 ~1992
700195315601562499 ~1994
700221591400443199 ~1992
700224831400449679 ~1992
700244215601953699 ~1994
700253391400506799 ~1992
700268574201611439 ~1993
700272111400544239 ~1992
700278711400557439 ~1992
70029721322136716710 ~1996
700302831400605679 ~1992
700305111400610239 ~1992
Exponent Prime Factor Digits Year
700307391400614799 ~1992
700339791400679599 ~1992
700352214202113279 ~1993
700399191400798399 ~1992
700465334202791999 ~1993
700511991401023999 ~1992
700541391401082799 ~1992
700553391401106799 ~1992
700590014203540079 ~1993
700595511401191039 ~1992
700595515604764099
70061263574502356710 ~1996
700616391401232799 ~1992
700625391401250799 ~1992
700635231401270479 ~1992
700655534203933199 ~1993
700657311401314639 ~1992
700673631401347279 ~1992
700693191401386399 ~1992
70069817266265304710 ~1995
700729791401459599 ~1992
700738911401477839 ~1992
700739991401479999 ~1992
700740014204440079 ~1993
70075979224243132910 ~1995
Exponent Prime Factor Digits Year
700765431401530879 ~1992
700766031401532079 ~1992
700769391401538799 ~1992
700798791401597599 ~1992
700799031401598079 ~1992
70082417168197800910 ~1995
700852311401704639 ~1992
700855791401711599 ~1992
700861191401722399 ~1992
700883511401767039 ~1992
700908591401817199 ~1992
700915974205495839 ~1993
700918311401836639 ~1992
700934214205605279 ~1993
700941474542100725711 ~1998
700949391401898799 ~1992
70096987406562524710 ~1996
700994991401989999 ~1992
70102127126183828710 ~1995
701024631402049279 ~1992
701037231402074479 ~1992
701040711402081439 ~1992
701055974206335839 ~1993
701064831402129679 ~1992
701068191402136399 ~1992
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25-07-13