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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
42201311844026238 ~1991
42202333126606999110 ~1993
42202883844057678 ~1991
422043976752703539 ~1993
42204923844098478 ~1991
42205763844115278 ~1991
42205799844115998 ~1991
42206051844121038 ~1991
42207023844140478 ~1991
422075114220751119 ~1992
42208403844168078 ~1991
42208811844176238 ~1991
42209159844183198 ~1991
42209831844196638 ~1991
42210263844205278 ~1991
42212399844247998 ~1991
42212531844250638 ~1991
42212711844254238 ~1991
42213179844263598 ~1991
422132332532793999 ~1992
42213863844277278 ~1991
422141874052561952111 ~1997
422146514221465119 ~1992
42214943844298878 ~1991
42215531844310638 ~1991
Exponent Prime Factor Digits Year
422160612532963679 ~1992
42217463844349278 ~1991
422176212533057279 ~1992
42217751844355038 ~1991
42218219844364398 ~1991
42219431844388638 ~1991
42220319844406398 ~1991
422206135910885839 ~1993
42220943844418878 ~1991
422221394222213919 ~1992
422222813377782499 ~1992
42222311844446238 ~1991
422233972533403839 ~1992
422238972533433839 ~1992
42224111844482238 ~1991
42224723844494478 ~1991
42225143844502878 ~1991
422254613378036899 ~1992
42226403844528078 ~1991
42226799844535998 ~1991
42226883844537678 ~1991
42227123844542478 ~1991
42228143844562878 ~1991
422282236756515699 ~1993
42228443844568878 ~1991
Exponent Prime Factor Digits Year
42229091844581838 ~1991
42230147312503087910 ~1994
42230543844610878 ~1991
42230603844612078 ~1991
42231671844633438 ~1991
42232271844645438 ~1991
422324513378596099 ~1992
42233231844664638 ~1991
42233351844667038 ~1991
422348212534089279 ~1992
42235493363225239910 ~1995
42235943844718878 ~1991
42236039844720798 ~1991
422378693379029539 ~1992
42239231844784638 ~1991
422392311013741544111
42239651844793038 ~1991
422401793379214339 ~1992
422403074224030719 ~1992
42240839844816798 ~1991
42240851844817038 ~1991
42240959844819198 ~1991
42241163844823278 ~1991
422414212534485279 ~1992
42241943844838878 ~1991
Exponent Prime Factor Digits Year
42242303844846078 ~1991
42242699844853998 ~1991
42243037202766577710 ~1994
422449339293885279 ~1993
422460132534760799 ~1992
42246299844925998 ~1991
42246311844926238 ~1991
42247511844950238 ~1991
42247561304182439310 ~1994
422486234224862319 ~1992
422487293379898339 ~1992
422488132534928799 ~1992
42250223845004478 ~1991
42250399177451675910 ~1994
42251089498562850310 ~1995
42251903845038078 ~1991
422523173380185379 ~1992
42252719845054398 ~1991
422535372535212239 ~1992
422542572535255439 ~1992
422543412535260479 ~1992
42256559845131198 ~1991
42256631845132638 ~1991
42258743845174878 ~1991
422590816761452979 ~1993
2072
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25-12-14