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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
200363211202179279 ~1989
20036603400732078 ~1988
20037359400747198 ~1988
20037659400753198 ~1988
20037791400755838 ~1988
20037911400758238 ~1988
200379371202276239 ~1989
200383736011511919 ~1991
20038619400772398 ~1988
200393871603150979 ~1989
200394731202368399 ~1989
20039639400792798 ~1988
20039843400796878 ~1988
20039891400797838 ~1988
20040803400816078 ~1988
200409131202454799 ~1989
20040959400819198 ~1988
20040983400819678 ~1988
200411871603294979 ~1989
20041799400835998 ~1988
200420411202522479 ~1989
200427171603417379 ~1989
20042723400854478 ~1988
20042903400858078 ~1988
200429336012879919 ~1991
Exponent Prime Factor Digits Year
20042999400859998 ~1988
20043311400866238 ~1988
20044319400886398 ~1988
20044463400889278 ~1988
20044919400898398 ~1988
200459811603678499 ~1989
20045999400919998 ~1988
20046011400920238 ~1988
20046419400928398 ~1988
20046479400929598 ~1988
200468393608431039 ~1990
20046959400939198 ~1988
20047019400940398 ~1988
200473732806632239 ~1990
20047871400957438 ~1988
200481771202890639 ~1989
20048243400964878 ~1988
20048519400970398 ~1988
20049311400986238 ~1988
200496073207937139 ~1990
200497971603983779 ~1989
200497972806971599
20050451401009038 ~1988
20050631401012638 ~1988
20050981252642360710 ~1992
Exponent Prime Factor Digits Year
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
20059463401189278 ~1988
Exponent Prime Factor Digits Year
20059631401192638 ~1988
200596811203580879 ~1989
20060291401205838 ~1988
20060471401209438 ~1988
20060591401211838 ~1988
200607171203643039 ~1989
20060783401215678 ~1988
200616111604928899 ~1990
20062151401243038 ~1988
200626571203759439 ~1989
20062799401255998 ~1988
20063159401263198 ~1988
20063243401264878 ~1988
20063423401268478 ~1988
20063471401269438 ~1988
200637079630579379 ~1991
20063951401279038 ~1988
200639934815358339 ~1991
20064179401283598 ~1988
200642771203856639 ~1989
20064311401286238 ~1988
20064431401288638 ~1988
20064851401297038 ~1988
20064923401298478 ~1988
20065043401300878 ~1988
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25-11-02