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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.
Exponent Prime Factor Digits Year
10040363200807278 ~1986
10040603200812078 ~1986
100407171405700399 ~1988
10040917602455038 ~1987
10041071803285698 ~1987
10041131200822638 ~1986
10041197803295778 ~1987
10041431200828638 ~1986
10041457602487438 ~1987
10041599200831998 ~1986
10042093602525598 ~1987
10042199200843998 ~1986
10042433602545998 ~1987
10042463200849278 ~1986
10042619200852398 ~1986
10042691200853838 ~1986
10042741602564478 ~1987
10043051200861038 ~1986
100431715624175779 ~1989
10043437602606238 ~1987
100435574820907379 ~1989
10043699200873998 ~1986
100438633414913439 ~1989
10043911474072599310 ~1991
100442471004424719 ~1987
Exponent Prime Factor Digits Year
100444932410678339 ~1988
10044623200892478 ~1986
10045103200902078 ~1986
10045313602718798 ~1987
100453631607258099 ~1988
10045559200911198 ~1986
10045601602736078 ~1987
10045901602754078 ~1987
10046021602761278 ~1987
100462212210168639 ~1988
100463172867218871911 ~1993
10046341602780478 ~1987
10046501602790078 ~1987
10046537602792238 ~1987
10046891200937838 ~1986
10046941602816478 ~1987
100470431607526899 ~1988
10047071200941438 ~1986
10047179200943598 ~1986
10047203200944078 ~1986
10047431200948638 ~1986
10047593602855598 ~1987
10047977602878638 ~1987
10048019200960398 ~1986
10048163200963278 ~1986
Exponent Prime Factor Digits Year
100482531406755439 ~1988
10048331200966638 ~1986
10048373602902398 ~1987
10049077602944638 ~1987
10049219200984398 ~1986
10049231803938498 ~1987
10049393602963598 ~1987
100495131406931839 ~1988
10049519200990398 ~1986
100495934622812799 ~1989
10049657602979438 ~1987
10049783200995678 ~1986
10049987803998978 ~1987
10050017603001038 ~1987
10050083201001678 ~1986
10050101603006078 ~1987
10050181233164199310 ~1991
10050331106533508710 ~1990
100505831608093299 ~1988
100514111809253999 ~1988
10051451201029038 ~1986
10051523201030478 ~1986
10051799201035998 ~1986
10051841603110478 ~1987
10051957603117438 ~1987
Exponent Prime Factor Digits Year
10052279201045598 ~1986
10052291804183298 ~1987
100522933015687919 ~1989
10052297603137838 ~1987
10052417804193378 ~1987
10052519201050398 ~1986
100525192412604579
10052681804214498 ~1987
100528732412689539 ~1988
10052963201059278 ~1986
10053143201062878 ~1986
10053301603198078 ~1987
10053611201072238 ~1986
10053881603232878 ~1987
10053913603234798 ~1987
10054601603276078 ~1987
10054631201092638 ~1986
100546311809833599
10054931201098638 ~1986
10055651201113038 ~1986
10055723201114478 ~1986
10055999201119998 ~1986
10056107804488578 ~1987
10056251201125038 ~1986
10056329804506338 ~1987
1027
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25-07-08