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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
100172320034477 ~1978
100183120036637 ~1978
10020911302718319 ~1982
1002121160339378 ~1980
1002149380816638 ~1981
100219120043837 ~1978
1002247100224718 ~1980
100235920047197 ~1978
1002487481193778 ~1981
100256980205537 ~1979
10027131203255619 ~1982
1002769240664578 ~1981
1002817300845118 ~1981
100282180225697 ~1979
100285180228097 ~1979
1002851501425518
100289920057997 ~1978
1003003240720738 ~1981
1003039401215618 ~1981
100309120061837 ~1978
1003307561851938 ~1981
1003381220743838 ~1980
10033971344551999 ~1982
1003411401364418 ~1981
1003517140492398 ~1980
Exp. Prime Factor Digits Year
100363120072637 ~1978
100367920073597 ~1978
1003711823043038 ~1982
100376320075277 ~1978
1003771160603378 ~1980
100384160230477 ~1979
1003943742917838 ~1982
1004063562275298 ~1981
1004117863540638 ~1982
1004137963971538 ~1982
10041371686950179
1004161160665778 ~1980
1004209783283038 ~1982
1004287662829438 ~1982
1004659100465918 ~1980
1004669241120578 ~1981
100467760280637 ~1979
10047231868784799 ~1983
1004743100474318 ~1980
1004749241139778 ~1981
100490320098077 ~1978
100498780398977 ~1979
1005101381938398 ~1981
1005131124837270310 ~1985
100513360307997 ~1979
Exp. Prime Factor Digits Year
1005133241231938
1005203241248738 ~1981
1005203804162418
100523920104797 ~1978
100531760319037 ~1979
1005317542871198
10055532171994499 ~1983
1005679422385198 ~1981
1005833563266498 ~1981
1005883100588318 ~1980
1005883160941298
1005931100593118 ~1980
1005959321906898 ~1981
1006007503003518 ~1981
100602160361277 ~1979
100603780482977 ~1979
1006123160979698 ~1980
100630180504097 ~1979
100633120126637 ~1978
1006339342155278 ~1981
100636780509377 ~1979
1006391664218078 ~1982
1006463322068178 ~1981
100655920131197 ~1978
1006711181207998 ~1980
Exp. Prime Factor Digits Year
100678160406877 ~1979
1006853241644738 ~1981
100699120139837 ~1978
1007081302124318 ~1981
100713760428237 ~1979
1007203100720318 ~1980
100724320144877 ~1978
10072431450429939
1007249141014878 ~1980
100729780583777 ~1979
10073391208806819 ~1982
100745920149197 ~1978
100748320149677 ~1978
100759760455837 ~1979
100765120153037 ~1978
100771120154237 ~1978
1007731181391598 ~1980
100777120155437 ~1978
1007813141093838 ~1980
1007827161252338 ~1980
100793360475997 ~1979
100793920158797 ~1978
1007959181432638 ~1980
100804160482477 ~1979
100810180648097 ~1979
253
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26-08-02