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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
19984031399680638 ~1988
19984319399686398 ~1988
19985051399701038 ~1988
19985243399704878 ~1988
19985711399714238 ~1988
19986359399727198 ~1988
19986383399727678 ~1988
19986503399730078 ~1988
19986731399734638 ~1988
19987091399741838 ~1988
19987283399745678 ~1988
19988099399761998 ~1988
19988291399765838 ~1988
199883211599065699 ~1989
199884111599072899 ~1989
19988519399770398 ~1988
19989071399781438 ~1988
19989239399784798 ~1988
19989503399790078 ~1988
19989839399796798 ~1988
199899731199398399 ~1989
19990031399800638 ~1988
19990163399803278 ~1988
199902411599219299 ~1989
19990391399807838 ~1988
Exponent Prime Factor Digits Year
19990499399809998 ~1988
19990559399811198 ~1988
19990583399811678 ~1988
19990643399812878 ~1988
19990931399818638 ~1988
19992383399847678 ~1988
19992419399848398 ~1988
199928811551447565711 ~1994
199937811599502499 ~1989
19993943399878878 ~1988
19994879399897598 ~1988
199953431999534319 ~1990
19995359399907198 ~1988
199953973199263539 ~1990
19995491399909838 ~1988
19995551399911038 ~1988
19995863399917278 ~1988
199967897998715619 ~1991
19997459399949198 ~1988
19998373107991214310 ~1992
19998479399969598 ~1988
199985211199911279 ~1989
19998743399974878 ~1988
19999379399987598 ~1988
20000243400004878 ~1988
Exponent Prime Factor Digits Year
20000723400014478 ~1988
200012771200076639 ~1989
20001491400029838 ~1988
20001659400033198 ~1988
200027294800654979 ~1991
20002739400054798 ~1988
200032931200197599 ~1989
20004059400081198 ~1988
200045811600366499 ~1989
20004851400097038 ~1988
200048832000488319 ~1990
200048834801171939
200055411600443299 ~1989
200056814401249839 ~1991
20006351400127038 ~1988
20006663400133278 ~1988
200069834801675939 ~1991
20007203400144078 ~1988
20007371400147438 ~1988
20007479400149598 ~1988
200080971200485839 ~1989
20008343400166878 ~1988
200084875202206639 ~1991
20008559400171198 ~1988
20008999516232174310 ~1993
Exponent Prime Factor Digits Year
20009651400193038 ~1988
200100731200604399 ~1989
200103133201650099 ~1990
20010863400217278 ~1988
200114411200686479 ~1989
20011559400231198 ~1988
20011571400231438 ~1988
20011583400231678 ~1988
200116311600930499 ~1989
20011919400238398 ~1988
200121011200726079 ~1989
20012543400250878 ~1988
20012903400258078 ~1988
20012939400258798 ~1988
200130312001303119 ~1990
20013083400261678 ~1988
20013179400263598 ~1988
20013239400264798 ~1988
20013299400265998 ~1988
20013443400268878 ~1988
20013971400279438 ~1988
200140731200844399 ~1989
20014223400284478 ~1988
20014259400285198 ~1988
20014271400285438 ~1988
1413
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25-04-13