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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.
Exp. Prime Factor Digits Year
1010881161740978 ~1980
101090320218077 ~1978
1010903424579278
101100160660077 ~1979
101101360660797 ~1979
1011067101106718 ~1980
101107180885697 ~1979
10110791132408499 ~1982
1011281869701678 ~1982
101137120227437 ~1978
1011377384323278 ~1981
101143120228637 ~1978
1011697161871538 ~1980
10117791720024319 ~1983
1011797546370398 ~1981
1011817485672178 ~1981
101191760715037 ~1979
101203120240637 ~1978
1012079425073198 ~1981
1012087182175678 ~1980
101222980978337 ~1979
101232160739277 ~1979
101237360742397 ~1979
1012421303726318 ~1981
1012439242985378 ~1981
Exp. Prime Factor Digits Year
101263360757997 ~1979
1012703324064978 ~1981
101275120255037 ~1978
101281120256237 ~1978
101286160771677 ~1979
101291981033537 ~1979
1012993162078898 ~1980
101299760779837 ~1979
10130291195374239 ~1982
1013053466004398 ~1981
1013249141854878 ~1980
10133291134928499 ~1982
101339920267997 ~1978
101339981071937
101371120274237 ~1978
10137131682763599 ~1983
101371760823037 ~1979
1013767182478078 ~1980
1013773648814738 ~1982
1013791425792238 ~1981
101381920276397 ~1978
101387920277597 ~1978
101389120277837 ~1978
1013899101389918 ~1980
101392160835277 ~1979
Exp. Prime Factor Digits Year
1014007648964498 ~1982
101411360846797 ~1979
101413120282637 ~1978
1014157466512238 ~1981
101419360851597 ~1979
101426320285277 ~1978
101439760863837 ~1979
1014451162312178 ~1980
1014493223188478 ~1980
10146493328048739 ~1983
101467760880637 ~1979
101471920294397 ~1978
101477981182337 ~1979
1014779324729298
1014907101490718 ~1980
1015051832341838 ~1982
1015073142110238 ~1980
1015163324852178 ~1981
1015171487282098 ~1981
1015171670012878
1015423101542318 ~1980
1015459101545918 ~1980
1015471182784798 ~1980
101549920309997 ~1978
10155071076437439 ~1982
Exp. Prime Factor Digits Year
1015523731176578 ~1982
1015691507845518 ~1981
101569760941837 ~1979
1015813162530098 ~1980
1015813304743918
1015813731385378
10159131036231279 ~1982
101591920318397 ~1978
101599120319837 ~1978
1016033304809918 ~1981
101605120321037 ~1978
101620160972077 ~1979
101623120324637 ~1978
1016263243903138 ~1981
101630320326077 ~1978
1016303569129698
101634160980477 ~1979
101639920327997 ~1978
1016497406598818 ~1981
101666320333277 ~1978
1016777244026498 ~1981
10167771057448099
1016783264363598 ~1981
101684320336877 ~1978
101689120337837 ~1978
251
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26-01-11