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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
2730709600755998 ~1984
2730929382330078 ~1983
2730979655434978 ~1984
27310131474747039 ~1985
2731159491608638 ~1984
2731243436998898 ~1983
273151154630237 ~1981
273155954631197 ~1981
2731691218535298 ~1983
2731697163901838 ~1982
2731709382439278 ~1983
2731739218539138 ~1983
2731933601025278 ~1984
2731987437117938 ~1983
2732069655696578 ~1984
2732069819620718
27322691092907619 ~1984
2732273163936398 ~1982
2732501163950078 ~1982
27325031803451999 ~1985
273251954650397 ~1981
273265154653037 ~1981
2732753163965198 ~1982
2732911273291118 ~1983
27329531913067119 ~1985
Exp. Prime Factor Digits Year
2733061819918318 ~1984
2733077218646178 ~1983
273317954663597 ~1981
2733197163991838 ~1982
2733253163995198 ~1982
27333615685390899 ~1986
2733427273342718 ~1983
2733589601389598 ~1984
2733823273382318 ~1983
2733851218708098 ~1983
2733971218717698 ~1983
2734117437458738 ~1983
2734141437462578 ~1983
2734219273421918 ~1983
2734283710913598 ~1984
2734481218758498 ~1983
2734573164074398 ~1982
273464354692877 ~1981
2734717164083038 ~1982
2734793164087598 ~1982
2735009218800738 ~1983
2735017437602738 ~1983
27350172625616339
273533954706797 ~1981
2735699218855938 ~1983
Exp. Prime Factor Digits Year
2735983273598318 ~1983
2735983656635938
2736229656694978 ~1984
273626354725277 ~1981
273649154729837 ~1981
2736497383109598 ~1983
2736523273652318 ~1983
2736533164191998 ~1982
2736533383114638
2736623711521998 ~1984
2736733164203998 ~1982
273704354740877 ~1981
2737057437929138 ~1983
2737081602157838 ~1984
2737093164225598 ~1982
27371091040101439 ~1984
2737213164232798 ~1982
273752354750477 ~1981
2737649219011938 ~1983
2737661164259678 ~1982
27377231149843679 ~1984
27378733723507299 ~1986
2737997383319598 ~1983
273805154761037 ~1981
273806354761277 ~1981
Exp. Prime Factor Digits Year
27381174819085939 ~1986
2738381164302878 ~1982
273842354768477 ~1981
273857954771597 ~1981
273863954772797 ~1981
2738707273870718 ~1983
2738761164325678 ~1982
2739013821703918 ~1984
2739043273904318 ~1983
2739133438261298 ~1983
2739281876569938 ~1984
273941954788397 ~1981
2739437219154978 ~1983
2739637164378238 ~1982
2739701164382078 ~1982
2739773383568238 ~1983
2740211219216898 ~1983
274031954806397 ~1981
2740393164423598 ~1982
2740453164427198 ~1982
274051154810237 ~1981
2740559219244738 ~1983
2740559493300638
2740607493309278 ~1984
2740631712564078 ~1984
470
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25-06-01