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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
1719749137579938 ~1981
1719967171996718 ~1981
17200571651254739 ~1984
1720157103209438 ~1981
1720217240830398 ~1982
1720517137641378 ~1981
172064334412877 ~1980
1720933103255998 ~1981
1720937137674978 ~1981
1720991309778398 ~1982
1721197516359118 ~1983
172124334424877 ~1980
1721299172129918 ~1981
172133934426797 ~1980
1721453103287198 ~1981
172154334430877 ~1980
172157934431597 ~1980
1721593688637218 ~1983
17215931205115119
1721729137738338 ~1981
1721729550953298
1721773275483698 ~1982
1721807137744578 ~1981
1721887309939678 ~1982
1722173241104238 ~1982
Exp. Prime Factor Digits Year
1722181103330878 ~1981
1722191447769678 ~1982
172232334446477 ~1980
1722431310037598 ~1982
1722443551181778 ~1983
1722463275594098 ~1982
172259934451997 ~1980
1722619413428578 ~1982
1722667310080078 ~1982
1722667689066818
1722883172288318 ~1981
1723333103399998 ~1981
1723619310251438 ~1982
1723747586073998 ~1983
172375134475037 ~1980
1723807172380718 ~1981
1723837103430238 ~1981
1723973241356238 ~1982
1723991448237678 ~1982
1724027137922178 ~1981
1724201137936098 ~1981
1724209413810178 ~1982
1724309241403278 ~1982
1724329413838978 ~1982
172435134487037 ~1980
Exp. Prime Factor Digits Year
1724357241409998 ~1982
172439934487997 ~1980
17243995414612879
1724473517341918 ~1983
1724641275942578 ~1982
1724669517400718 ~1983
1724677156945607110 ~1986
1724699827855538 ~1983
1724923172492318 ~1981
1724981103498878 ~1981
1725127414030498 ~1982
1725133103507998 ~1981
1725197138015778 ~1981
1725287138022978 ~1981
172535934507197 ~1980
1725481517644318 ~1983
172553934510797 ~1980
1725539138043138
1725541103532478 ~1981
1725671138053698 ~1981
1725743414178338 ~1982
1725743724812078
1725781517734318 ~1983
17258331760349679 ~1984
172613934522797 ~1980
Exp. Prime Factor Digits Year
1726159310708638 ~1982
1726303172630318 ~1981
1726327276212338 ~1982
172637934527597 ~1980
1726477828708978 ~1983
1726489379827598 ~1982
1726513103590798 ~1981
1726577103594638 ~1981
1726661103599678 ~1981
1726757656167678 ~1983
172681134536237 ~1980
172685934537197 ~1980
172688334537677 ~1980
1726897103613838 ~1981
1726931138154498 ~1981
1726993932576238 ~1983
1727263172726318 ~1981
1727317276370738 ~1982
172733934546797 ~1980
1727417656418478 ~1983
1727437103646238 ~1981
172748334549677 ~1980
1727513103650798 ~1981
1727563725576478 ~1983
1727743172774318 ~1981
356
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26-01-11