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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
2725897436143538 ~1983
272605154521037 ~1981
27262374743652399 ~1986
2726281163576878 ~1982
2726299490733838 ~1984
27264071308675379 ~1985
272641154528237 ~1981
2726453381703438 ~1983
2726483654355938 ~1984
27264831145122879
27266831799610799 ~1985
27267439434530799 ~1987
27268311145269039 ~1984
2726891708991678 ~1984
272693954538797 ~1981
2726959490852638 ~1984
2727007272700718 ~1983
272708354541677 ~1981
2727173381804238 ~1983
2727173818151918
272723954544797 ~1981
2727253599995678 ~1984
272735954547197 ~1981
2727359654566178
2727401218192098 ~1983
Exp. Prime Factor Digits Year
2727727927427198 ~1984
27278471091138819 ~1984
2728051272805118 ~1983
272807954561597 ~1981
272816354563277 ~1981
272833154566637 ~1981
27284475074911439 ~1986
2728541163712478 ~1982
2728541818562318
2728553381997438 ~1983
2728577218286178 ~1983
2728577818573118
27287111800949279 ~1985
2728763709478398 ~1984
2728841163730478 ~1982
2728931218314498 ~1983
27289331255309199 ~1985
27290177368345919 ~1986
2729087491235678 ~1984
2729101600402238 ~1984
2729113163746798 ~1982
2729137163748238 ~1982
272915954583197 ~1981
272918354583677 ~1981
2729189270189711110 ~1988
Exp. Prime Factor Digits Year
27294131091765219 ~1984
272942354588477 ~1981
272945954589197 ~1981
2729729818918718 ~1984
2729921218393698 ~1983
273001154600237 ~1981
273017954603597 ~1981
2730529600716398 ~1984
2730571491502798 ~1984
2730587709952638 ~1984
273067154613437 ~1981
2730677163840638 ~1982
2730709600755998 ~1984
2730929382330078 ~1983
2730979655434978 ~1984
2731013819303918 ~1984
27310131474747039
2731159491608638 ~1984
2731243436998898 ~1983
273151154630237 ~1981
273155954631197 ~1981
2731691218535298 ~1983
2731697163901838 ~1982
2731709382439278 ~1983
2731739218539138 ~1983
Exp. Prime Factor Digits Year
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
2733061819918318 ~1984
2733077218646178 ~1983
273317954663597 ~1981
2733197163991838 ~1982
2733253163995198 ~1982
27333615685390899 ~1986
2733427273342718 ~1983
2733589601389598 ~1984
2733823273382318 ~1983
2733851218708098 ~1983
2733971218717698 ~1983
2734117437458738 ~1983
479
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25-12-14