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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
163661932732397 ~1980
1636637130930978 ~1981
16366671964000419 ~1984
1636787130942978 ~1981
1636997130959778 ~1981
163718332743677 ~1980
163722198233277 ~1981
1637221785866098
1637357622195678 ~1983
163750198250077 ~1981
16375391048024979 ~1983
1637639687808398 ~1983
16376411277359999 ~1983
1637683262029298 ~1982
1637759131020738 ~1981
1637777131022178 ~1981
1638011294841998 ~1982
1638127262100338 ~1982
1638127655250818
163825132765037 ~1980
1638349393203778 ~1982
1638353229369438 ~1982
1638599393263778 ~1982
1638743426073198 ~1982
16387973539801539 ~1985
Exp. Prime Factor Digits Year
163901932780397 ~1980
1639067819533518 ~1983
16392011180224739 ~1983
1639217491765118 ~1982
1639511524643538 ~1982
1639577491873118 ~1982
1639663393519138 ~1982
163975132795037 ~1980
1639817393556098 ~1982
1639999951199438 ~1983
164003398401997 ~1981
164018332803677 ~1980
164023132804637 ~1980
1640447131235778 ~1981
1640447820223518
1640497679821956910 ~1988
164051932810397 ~1980
164053132810637 ~1980
16405391870214479 ~1984
1640741623481598 ~1983
1640753229705438 ~1982
1641007295381278 ~1982
1641043557954638 ~1983
1641377131310178 ~1981
1641407131312578 ~1981
Exp. Prime Factor Digits Year
16415093676980179 ~1985
164153932830797 ~1980
1641617229826398 ~1982
1641659820829518 ~1983
1641811295525998 ~1982
1641833492549918 ~1982
164186332837277 ~1980
164203132840637 ~1980
1642211131376898 ~1981
1642327262772338 ~1982
164263132852637 ~1980
164265798559437 ~1981
1642717262834738 ~1982
164285932857197 ~1980
164291932858397 ~1980
1643069492920718 ~1982
164312332862477 ~1980
1643129624389038 ~1983
16431792629086419 ~1984
1643219131457538 ~1981
1643231821615518 ~1983
1643351788808498 ~1983
1643431164343118 ~1981
164358198614877 ~1981
16436231873730239 ~1984
Exp. Prime Factor Digits Year
1643683164368318 ~1981
16437173681926099 ~1985
1643729131498338 ~1981
164381932876397 ~1980
1643867295896078 ~1982
1643869657547618 ~1983
1643893756190798 ~1983
164400198640077 ~1981
1644031164403118 ~1981
16440671085084239 ~1983
1644233526154578 ~1982
1644437394664898 ~1982
164449132889837 ~1980
1644607164460718 ~1981
1644611427598878 ~1982
1644623394709538 ~1982
1644689230256478 ~1982
164471932894397 ~1980
1644823394757538 ~1982
1644899131591938 ~1981
164501932900397 ~1980
1645093658037218 ~1983
1645183658073218 ~1983
1645291263246578 ~1982
164543932908797 ~1980
348
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26-05-10