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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
105349184279297
105349784279777 ~1980
105355121071037 ~1978
105361763217037 ~1979
1053691189664398 ~1980
1053707252889698 ~1981
105371363222797 ~1979
10537274046311699 ~1984
1053737590092738 ~1982
10537496891518479 ~1984
105380984304737 ~1980
1053809569056878
1053809821971038
1053809843047218
105397184317697 ~1980
105401363240797 ~1979
105404321080877 ~1978
105421363252797 ~1979
1054303168688498 ~1980
1054303674753938
1054321506074098 ~1981
1054327253038498 ~1981
1054331442819038 ~1981
1054331527165518
10543811075468639 ~1982
Exp. Prime Factor Digits Year
1054429506125938 ~1981
105443921088797 ~1978
105451784361377 ~1980
1054523695985198 ~1982
105458321091677 ~1978
1054721337510738 ~1981
1054733843786418 ~1982
10549038354831779 ~1984
105505784404577 ~1980
1055063443126478 ~1981
1055137168821938 ~1980
1055347105534718 ~1980
1055359675429778 ~1982
1055371612115198 ~1982
105542321108477 ~1978
1055489253317378 ~1981
1055737929048578 ~1982
105578321115677 ~1978
105580184464097 ~1980
10558391773809539 ~1983
1055881316764318 ~1981
105589784471777 ~1980
1055911105591118 ~1980
10559471942942499 ~1983
1055969147835678 ~1980
Exp. Prime Factor Digits Year
105598184478497 ~1980
105607363364397 ~1979
1056089147852478 ~1980
1056203274612798 ~1981
105626984501537 ~1980
105631784505377 ~1980
1056317253516098
1056347274650238 ~1981
1056469422587618 ~1981
1056563338100178 ~1981
105661363396797 ~1979
105691121138237 ~1978
1057003253680738 ~1981
105701921140397 ~1978
1057037147985198 ~1980
10570931754774399 ~1983
1057117253708098 ~1981
105716321143277 ~1978
1057489253797378 ~1981
1057603105760318 ~1980
1057603253824738
1057643253834338 ~1981
1057663359605438 ~1981
105775363465197 ~1979
1057753169240498
Exp. Prime Factor Digits Year
1057831105783118 ~1980
105788321157677 ~1978
1057919444325998 ~1981
10580271100348099 ~1982
10580933703325519 ~1984
105811763487037 ~1979
1058171592575778 ~1982
1058227169316338 ~1980
1058227423290818
1058227613771678
1058249825434238 ~1982
105830321166077 ~1978
105833921166797 ~1978
105833984667137
1058341232835038 ~1981
105835363501197 ~1979
105837763502637 ~1979
1058443169350898 ~1980
1058489148188478 ~1980
1058627698693838 ~1982
105872321174477 ~1978
105874784699777 ~1980
105892163535277 ~1979
105895121179037 ~1978
1058951529475518
261
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26-06-07