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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
1045321752631138 ~1982
10453211233478799
104539183631297 ~1979
1045393313617918 ~1981
10454271191786799 ~1982
104546983637537 ~1979
1045469250912578
1045549418219618 ~1981
1045663250959138 ~1981
1045727188230878 ~1980
104579920915997 ~1978
1045841313752318 ~1981
1045903167344498 ~1980
104598162758877 ~1979
1046053230131678 ~1981
104620783696577 ~1979
1046329251118978 ~1981
104639920927997 ~1978
104639983711937
104645920929197 ~1978
1047107942396318 ~1982
1047119188481438 ~1980
1047139356027278 ~1981
1047157418862818 ~1981
1047197146607598 ~1980
Exp. Prime Factor Digits Year
1047199104719918 ~1980
1047229314168718 ~1981
104728162836877 ~1979
104731120946237 ~1978
104732320946477 ~1978
1047379104737918 ~1980
1047419439915998 ~1981
104767120953437 ~1978
104782162869277 ~1979
104794162876477 ~1979
104796162877677 ~1979
104797120959437 ~1978
1047971586863778
1047989146718478 ~1980
1048009503044338 ~1981
1048129314438718 ~1981
1048193146747038 ~1980
1048273314481918 ~1981
1048291419316418 ~1981
104834320966877 ~1978
104839183871297 ~1979
1048423440337678 ~1981
1048549817868238 ~1982
104857120971437 ~1978
1048609419443618 ~1981
Exp. Prime Factor Digits Year
1048613587223298 ~1982
10486131090557539
1048681167788978 ~1980
1048793146831038 ~1980
1048807608308078 ~1982
10488891258666819 ~1982
104899120979837 ~1978
1048991335677138
104903920980797 ~1978
1049089923198338 ~1982
1049117398664478 ~1981
1049129251790978 ~1981
1049183524591518 ~1981
1049183587542498
1049339524669518 ~1981
104947183957697 ~1979
104953762972237 ~1979
1049549503783538 ~1981
104966320993277 ~1978
1049681587821378 ~1982
1049687272918638 ~1981
104977362986397 ~1979
1049773314931918
104995362997197 ~1979
1049953314985918
Exp. Prime Factor Digits Year
104996320999277 ~1978
105008321001677 ~1978
1050169231037198 ~1981
10501971260236419 ~1982
1050233147032638 ~1980
1050337315101118 ~1981
1050473147066238 ~1980
105050321010077 ~1978
105059363035597 ~1979
105061121012237 ~1978
1050611273158878
1050631756454338 ~1982
1050817504392178 ~1981
105085121017037 ~1978
105085363051197 ~1979
1050887504425778 ~1981
105091363054797 ~1979
1050949252227778 ~1981
105099763059837 ~1979
1051009252242178 ~1981
105113921022797 ~1978
105128321025677 ~1978
1051291105129118 ~1980
1051319189237438 ~1980
105149921029997 ~1978
251
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25-04-13