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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
10050017603001038 ~1987
10050083201001678 ~1986
10050101603006078 ~1987
10050181233164199310 ~1991
10050331106533508710 ~1990
100505831608093299 ~1988
100514111809253999 ~1988
10051451201029038 ~1986
10051523201030478 ~1986
10051799201035998 ~1986
10051841603110478 ~1987
10051957603117438 ~1987
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
Exponent Prime Factor Digits Year
10053881603232878 ~1987
10053913603234798 ~1987
10054601603276078 ~1987
10054631201092638 ~1986
100546311809833599
10054931201098638 ~1986
10055651201113038 ~1986
10055723201114478 ~1986
10055999201119998 ~1986
10056107804488578 ~1987
10056251201125038 ~1986
10056329804506338 ~1987
10056337603380238 ~1987
10056353603381198 ~1987
10056383201127678 ~1986
10056433603385998 ~1987
10056659201133198 ~1986
10057031201140638 ~1986
10057477603448638 ~1987
10057613603456798 ~1987
10057643201152878 ~1986
10057763201155278 ~1986
10058063201161278 ~1986
100581711810470799 ~1988
10058459201169198 ~1986
Exponent Prime Factor Digits Year
10058471804677698 ~1987
100585572414053699 ~1988
10059293603557598 ~1987
10059521603571278 ~1987
10059743201194878 ~1986
10059851201197038 ~1986
10059853603591198 ~1987
100598571408379999 ~1988
10060121804809698 ~1987
10060811201216238 ~1986
10060859201217198 ~1986
10061099201221998 ~1986
100611533018345919 ~1989
100611671006116719 ~1987
1006180311856828655312 ~1995
10062203201244078 ~1986
10062323201246478 ~1986
100623311811219599 ~1988
10062397603743838 ~1987
10062551201251038 ~1986
10062673603760398 ~1987
10062803201256078 ~1986
100631472415155299 ~1988
100632194025287619 ~1989
100633871610141939 ~1988
Exponent Prime Factor Digits Year
10063637603818238 ~1987
100637591006375919 ~1987
100637592415302179
10063931805114498 ~1987
10064339201286798 ~1986
10064609805168738 ~1987
100647594227198799 ~1989
10064819201296398 ~1986
10064963201299278 ~1986
10065299201305998 ~1986
10065491201309838 ~1986
100657031610512499 ~1988
10065779805262338 ~1987
10065857805268578 ~1987
10066117136899191310 ~1990
10066421805313698 ~1987
10066753604005198 ~1987
100670231610723699 ~1988
100678991812221839 ~1988
100679991812239839 ~1988
10068059201361198 ~1986
10068193604091598 ~1987
10068761604125678 ~1987
10068833604129998 ~1987
100690013020700319 ~1989
1014
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25-04-13