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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
2200049176003938 ~1982
2200069484015198 ~1983
2200153352024498 ~1983
2200193132011598 ~1982
2200217176017378 ~1982
2200351924147438 ~1984
2200459924192798 ~1984
2200651220065118 ~1982
22006511980585919
2200711396127998 ~1983
2200727176058178 ~1982
2200763528183138 ~1983
2200813132048798 ~1982
2200841660252318 ~1983
2200867748294798 ~1984
2200889176071138 ~1982
2201033308144638 ~1983
220109944021997 ~1981
22011895943210319 ~1986
2201201176096098 ~1982
2201401132084078 ~1982
2201827528438498 ~1983
2201827748621198
2201957308273998 ~1983
220231144046237 ~1981
Exp. Prime Factor Digits Year
2202313528555138 ~1983
2202437132146238 ~1982
2202547352407538 ~1983
2202583220258318 ~1982
2202617176209378 ~1982
220271944054397 ~1981
2202793528670338 ~1983
2202797660839118 ~1983
2202799220279918 ~1982
2202853352456498 ~1983
2202857308399998 ~1983
2202919528700578 ~1983
22030071101503519 ~1984
220307944061597 ~1981
2203121132187278 ~1982
2203337132200238 ~1982
2203433308480638 ~1983
22034574362844879 ~1985
220349944069997 ~1981
220355944071197 ~1981
2203657352585138 ~1983
2203679176294338 ~1982
2203961132237678 ~1982
2203967528952098 ~1983
220400344080077 ~1981
Exp. Prime Factor Digits Year
2204047220404718 ~1982
2204117308576398 ~1983
2204197352671538 ~1983
2204333132259998 ~1982
2204431220443118 ~1982
220459144091837 ~1981
220465144093037 ~1981
2204651176372098
220475944095197 ~1981
22047671984290319 ~1985
2204827352772338 ~1983
220484344096877 ~1981
2204863529167138 ~1983
220502344100477 ~1981
2205199396935838 ~1983
220523944104797 ~1981
2205319396957438 ~1983
2205373661611918 ~1983
2205521132331278 ~1982
2205629529350978 ~1983
2205703220570318 ~1982
2205793352926898 ~1983
2205803573508798 ~1983
220583944116797 ~1981
220603144120637 ~1981
Exp. Prime Factor Digits Year
2206097132365838 ~1982
2206151176492098 ~1982
220616344123277 ~1981
2206219220621918 ~1982
220628344125677 ~1981
220633144126637 ~1981
2206429485414398 ~1983
220649944129997 ~1981
2206517661955118 ~1983
220655944131197 ~1981
2206559176524738
220661944132397 ~1981
2206649176531938 ~1982
2206657132399438 ~1982
2206783220678318 ~1982
220681144136237 ~1981
2207039176563138 ~1982
220709944141997 ~1981
220712344142477 ~1981
220717144143437 ~1981
2207279176582338 ~1982
2207299220729918 ~1982
2207323529757538 ~1983
220735144147037 ~1981
2207561132453678 ~1982
410
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25-06-29