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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
34041431680828638 ~1990
34041719680834398 ~1990
34041971680839438 ~1990
340423012042538079 ~1991
34043699680873998 ~1990
340444192723553539 ~1991
34045031680900638 ~1990
34045631680912638 ~1990
34045859680917198 ~1990
34046063680921278 ~1990
340461438171074339 ~1992
34046891680937838 ~1990
340475812723806499 ~1991
34047683680953678 ~1990
34048691680973838 ~1990
34050011681000238 ~1990
34050179681003598 ~1990
340501993405019919 ~1992
34050839681016798 ~1990
34051019681020398 ~1990
340513792724110339 ~1991
340521433405214319 ~1992
34052159681043198 ~1990
34053191681063838 ~1990
34053479681069598 ~1990
Exponent Prime Factor Digits Year
34053791681075838 ~1990
34053863681077278 ~1990
340545078173081699 ~1992
34054679681093598 ~1990
34054703681094078 ~1990
340549012043294079 ~1991
340555012043330079 ~1991
34055519681110398 ~1990
34055579681111598 ~1990
34055603681112078 ~1990
34056443681128878 ~1990
340576438173834339 ~1992
34057799681155998 ~1990
34057811681156238 ~1990
34059023681180478 ~1990
340590732043544399 ~1991
34059671681193438 ~1990
340598775449580339 ~1992
34060031333788303910 ~1994
34060259681205198 ~1990
34060931681218638 ~1990
34061003681220078 ~1990
34061099681221998 ~1990
34061711681234238 ~1990
34061831681236638 ~1990
Exponent Prime Factor Digits Year
34062251681245038 ~1990
34062659681253198 ~1990
34062683681253678 ~1990
34063091681261838 ~1990
34063499681269998 ~1990
34063811681276238 ~1990
34064711681294238 ~1990
34064819681296398 ~1990
34065131681302638 ~1990
34065359681307198 ~1990
340653592186996047911
34065539681310798 ~1990
34065719681314398 ~1990
340658812043952879 ~1991
34066523681330478 ~1990
34066559681331198 ~1990
34067063681341278 ~1990
340672378176136899 ~1992
34067591681351838 ~1990
340679212044075279 ~1991
34068791681375838 ~1990
34069103681382078 ~1990
34069331681386638 ~1990
34069643681392878 ~1990
34069943681398878 ~1990
Exponent Prime Factor Digits Year
340699578176789699 ~1992
34069991681399838 ~1990
34070243681404878 ~1990
34071083681421678 ~1990
34071599681431998 ~1990
34071899681437998 ~1990
34073183681463678 ~1990
34073843681476878 ~1990
34074263681485278 ~1990
340743172044459039 ~1991
340743172725945379
34074479681489598 ~1990
340752675452042739 ~1992
34075763681515278 ~1990
34077083681541678 ~1990
340772212044633279 ~1991
340773118860100879 ~1993
34077671681553438 ~1990
34078139681562798 ~1990
340787772044726639 ~1991
34078823681576478 ~1990
34079471681589438 ~1990
34080719681614398 ~1990
34080731681614638 ~1990
340809532044857199 ~1991
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26-01-11