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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
741647631483295279 ~1992
741655791483311599 ~1992
741661431483322879 ~1992
74168293296673172110 ~1996
741685191483370399 ~1992
741757334450543999 ~1994
741758631483517279 ~1992
741764511483529039 ~1992
741766734450600399 ~1994
741768711483537439 ~1992
741774591483549199 ~1992
741774831483549679 ~1992
741803391483606799 ~1992
74187221281911439910 ~1996
741883791483767599 ~1992
741898315935186499 ~1994
74192939133547290310 ~1995
741931311483862639 ~1992
741935991483871999 ~1992
741939231483878479 ~1992
741940791483881599 ~1992
741973911483947839 ~1992
741986991483973999 ~1992
741999711483999439 ~1992
742026591484053199 ~1992
Exponent Prime Factor Digits Year
74204161356179972910 ~1996
742048431484096879 ~1992
742068831484137679 ~1992
742070511484141039 ~1992
742072813003...4363512234e4 2016
742088814452532879 ~1994
742118214452709279 ~1994
742168191484336399 ~1992
742187511484375039 ~1992
742209111484418239 ~1992
742211511484423039 ~1992
742226391484452799 ~1992
742248231484496479 ~1992
742257711484515439 ~1992
742259391484518799 ~1992
742283511484567039 ~1992
742284711484569439 ~1992
742290917422909119 ~1994
742306615938452899 ~1994
742309214453855279 ~1994
742310574453863439 ~1994
742314111484628239 ~1992
742332231484664479 ~1992
742347111484694239 ~1992
742362231484724479 ~1992
Exponent Prime Factor Digits Year
742373631484747279 ~1992
742381791484763599 ~1992
742425831484851679 ~1992
742463391484926799 ~1992
742465637424656319 ~1994
742476831484953679 ~1992
74247791193044256710 ~1995
742480431484960879 ~1992
74249803178199527310 ~1995
742499511484999039 ~1992
742516791485033599 ~1992
742524591485049199 ~1992
742532511485065039 ~1992
74253313178207951310 ~1995
742537791485075599 ~1992
742600014455600079 ~1994
742627311485254639 ~1992
74262967133673340710 ~1995
742634391485268799 ~1992
742687911485375839 ~1992
742698831485397679 ~1992
742721991485443999 ~1992
742723431485446879 ~1992
742737475941899779 ~1994
742744431485488879 ~1992
Exponent Prime Factor Digits Year
742747791485495599 ~1992
742754174456525039 ~1994
742761231485522479 ~1992
742770831485541679 ~1992
742771791485543599 ~1992
742779437427794319 ~1994
742782734456696399 ~1994
742792911485585839 ~1992
74279819594238552110 ~1996
742803591485607199 ~1992
74280953103993334310 ~1995
74283499178280397710 ~1995
74284229103997920710 ~1995
742845591485691199 ~1992
742870431485740879 ~1992
742881014457286079 ~1994
742911677429116719 ~1994
742920115943360899 ~1994
74295173178308415310 ~1995
742958031485916079 ~1992
742959711485919439 ~1992
74297059178312941710 ~1995
742977591485955199 ~1992
742992437429924319 ~1994
742998797429987919 ~1994
2289
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25-06-08