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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
20050981252642360710 ~1992
20051159401023198 ~1988
200512216015366319 ~1991
20051231401024638 ~1988
20052023401040478 ~1988
20052671401053438 ~1988
20053763401075278 ~1988
200539513609711199 ~1990
200545371203272239 ~1989
20054591401091838 ~1988
20054603401092078 ~1988
20055083401101678 ~1988
20055179401103598 ~1988
20056259401125198 ~1988
20056691401133838 ~1988
20057123401142478 ~1988
20057171401143438 ~1988
20057363401147278 ~1988
20057519401150398 ~1988
20057591401151838 ~1988
200577771203466639 ~1989
20057963401159278 ~1988
20058371401167438 ~1988
20058959401179198 ~1988
20059211401184238 ~1988
Exponent Prime Factor Digits Year
20059463401189278 ~1988
20059631401192638 ~1988
200596811203580879 ~1989
20060291401205838 ~1988
20060471401209438 ~1988
20060591401211838 ~1988
200607171203643039 ~1989
20060783401215678 ~1988
200616111604928899 ~1989
20062151401243038 ~1988
200626571203759439 ~1989
20062799401255998 ~1988
20063159401263198 ~1988
20063243401264878 ~1988
20063423401268478 ~1988
20063471401269438 ~1988
200637079630579379 ~1991
20063951401279038 ~1988
20064179401283598 ~1988
200642771203856639 ~1989
20064311401286238 ~1988
20064431401288638 ~1988
20064851401297038 ~1988
20064923401298478 ~1988
20065043401300878 ~1988
Exponent Prime Factor Digits Year
200650611203903679 ~1989
20065163401303278 ~1988
200653512006535119 ~1990
20065439401308798 ~1988
20065823401316478 ~1988
20066003401320078 ~1988
200660411203962479 ~1989
20066279401325598 ~1988
20066639401332798 ~1988
20066699401333998 ~1988
20066771401335438 ~1988
200670771204024639 ~1989
200671211204027279 ~1989
200674334816183939 ~1991
20067479401349598 ~1988
200675391605403139 ~1989
20068019401360398 ~1988
200680931204085599 ~1989
20068463401369278 ~1988
200685978027438819 ~1991
20068679401373598 ~1988
20068991401379838 ~1988
20069303401386078 ~1988
200695074816681699 ~1991
20069531401390638 ~1988
Exponent Prime Factor Digits Year
200696331204177999 ~1989
200708993612761839 ~1990
20070971401419438 ~1988
20071631401432638 ~1988
20071643401432878 ~1988
20072051401441038 ~1988
200723691605789539 ~1989
20073071401461438 ~1988
20073143401462878 ~1988
20073419401468398 ~1988
200736731204420399 ~1989
20073731401474638 ~1988
20074031401480638 ~1988
20074139401482798 ~1988
200742772810398799 ~1990
20074283401485678 ~1988
20074511401490238 ~1988
20074643401492878 ~1988
20075183401503678 ~1988
20075339401506798 ~1988
20075591401511838 ~1988
20076299401525998 ~1988
20077163401543278 ~1988
200774275220131039 ~1991
20077703401554078 ~1988
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25-05-04