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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
34811459696229198 ~1990
34811879696237598 ~1990
348119212088715279 ~1991
348142332088853999 ~1991
34814399696287998 ~1990
34814579696291598 ~1990
34815383696307678 ~1990
34816577132302992710 ~1993
34816703696334078 ~1990
348168838356051939 ~1993
34817039696340798 ~1990
348172612089035679 ~1991
348172612785380899
34817879696357598 ~1990
348180193481801919 ~1992
34818263696365278 ~1990
348182692785461539 ~1991
34818911696378238 ~1990
34819511696390238 ~1990
34820783696415678 ~1990
348209172089255039 ~1991
34821131696422638 ~1990
34822583696451678 ~1990
34822751696455038 ~1990
34823111696462238 ~1990
Exponent Prime Factor Digits Year
348231612089389679 ~1991
34823423696468478 ~1990
348243116268375999 ~1992
34824371696487438 ~1990
348249412089496479 ~1991
348259078358217699 ~1993
348270972089625839 ~1991
348284473482844719 ~1992
34829219696584398 ~1990
34829449250772032910 ~1994
34829519696590398 ~1990
34831031696620638 ~1990
348312435572998899 ~1992
34831463696629278 ~1990
34831799696635998 ~1990
34831991696639838 ~1990
348320116269761999 ~1992
348327678359864099 ~1993
34832939696658798 ~1990
348333534876669439 ~1992
34834043696680878 ~1990
34834823696696478 ~1990
34835039696700798 ~1990
348352492786819939 ~1991
34835291696705838 ~1990
Exponent Prime Factor Digits Year
34835519696710398 ~1990
34836251696725038 ~1990
34836479696729598 ~1990
348366796270602239 ~1992
34838603696772078 ~1990
34839011696780238 ~1990
348395772090374639 ~1991
34839743696794878 ~1990
34840511696810238 ~1990
34840523696810478 ~1990
348410473484104719 ~1992
34841399696827998 ~1990
34841519696830398 ~1990
348420012090520079 ~1991
34842191696843838 ~1990
34842683696853678 ~1990
34843331696866638 ~1990
34845623696912478 ~1990
34846151696923038 ~1990
34846271696925438 ~1990
34846577383312347110 ~1994
34846631696932638 ~1990
348480412090882479 ~1991
34848311696966238 ~1990
34848839696976798 ~1990
Exponent Prime Factor Digits Year
34849751696995038 ~1990
34849883696997678 ~1990
34850423697008478 ~1990
348507972091047839 ~1991
34851059697021198 ~1990
348519172091115039 ~1991
348520335576325299 ~1992
34852283697045678 ~1990
34852393975867004110 ~1995
34853471697069438 ~1990
34854023697080478 ~1990
348552292788418339 ~1991
34856903697138078 ~1990
34856957362512352910 ~1994
348570412091422479 ~1991
348574676274344079 ~1992
34858751697175038 ~1990
34860431697208638 ~1990
348605212788841699 ~1991
348605772091634639 ~1991
348606412091638479 ~1991
34861091697221838 ~1990
348612732091676399 ~1991
348615732091694399 ~1991
348616332091697999 ~1991
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25-03-23