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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
348180193481801919 ~1992
34818071696361438 ~1990
34818263696365278 ~1990
348182692785461539 ~1991
34818743696374878 ~1990
34818911696378238 ~1990
34819283696385678 ~1990
34819511696390238 ~1990
34820339696406798 ~1990
34820783696415678 ~1990
348209172089255039 ~1991
34821131696422638 ~1990
34821263696425278 ~1990
34821359696427198 ~1990
34822583696451678 ~1990
34822751696455038 ~1990
34823003696460078 ~1990
34823111696462238 ~1990
348231612089389679 ~1991
34823423696468478 ~1990
348243116268375999 ~1992
34824371696487438 ~1990
348249412089496479 ~1991
348259078358217699 ~1993
34825943696518878 ~1990
Exponent Prime Factor Digits Year
34826279696525598 ~1990
348270972089625839 ~1991
348284473482844719 ~1992
34829219696584398 ~1990
34829449250772032910 ~1994
34829519696590398 ~1990
34831031696620638 ~1990
34831103696622078 ~1990
348312435572998899 ~1992
34831463696629278 ~1990
34831799696635998 ~1990
34831991696639838 ~1990
348320116269761999 ~1992
348327678359864099 ~1993
34832783696655678 ~1990
34832939696658798 ~1990
348333534876669439 ~1992
34833503696670078 ~1990
34834043696680878 ~1990
348341473483414719 ~1992
34834451696689038 ~1990
34834823696696478 ~1990
34835039696700798 ~1990
348352492786819939 ~1991
34835291696705838 ~1990
Exponent Prime Factor Digits Year
34835519696710398 ~1990
34835543696710878 ~1990
34836251696725038 ~1990
34836359696727198 ~1990
34836479696729598 ~1990
348366796270602239 ~1992
34836803696736078 ~1990
348379198361100579 ~1993
34838603696772078 ~1990
34838651696773038 ~1990
34839011696780238 ~1990
348395772090374639 ~1991
34839743696794878 ~1990
34840511696810238 ~1990
34840523696810478 ~1990
348410473484104719 ~1992
34841171696823438 ~1990
34841351696827038 ~1990
34841399696827998 ~1990
34841519696830398 ~1990
34841819696836398 ~1990
34841903696838078 ~1990
348420012090520079 ~1991
34842191696843838 ~1990
34842623696852478 ~1990
Exponent Prime Factor Digits Year
34842683696853678 ~1990
34843331696866638 ~1990
34845623696912478 ~1990
34846151696923038 ~1990
34846271696925438 ~1990
34846577383312347110 ~1994
34846631696932638 ~1990
34847471696949438 ~1990
34847831696956638 ~1990
34847903696958078 ~1990
348480412090882479 ~1991
34848311696966238 ~1990
34848839696976798 ~1990
34849511696990238 ~1990
34849679696993598 ~1990
34849751696995038 ~1990
348498316272969599 ~1992
34849883696997678 ~1990
34849931696998638 ~1990
34850423697008478 ~1990
348507972091047839 ~1991
34851059697021198 ~1990
34851143697022878 ~1990
348519172091115039 ~1991
348520335576325299 ~1992
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26-05-03