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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
169279133855837 ~1980
1692839135427138 ~1981
1692857135428578 ~1981
16928631218861379 ~1983
1692907304723278 ~1982
1693001101580078 ~1981
1693001507900318
169303133860637 ~1980
1693273270923698 ~1982
1693277101596638 ~1981
1693331135466498 ~1981
1693429406422978 ~1982
16936312574319139 ~1984
1693633406471938 ~1982
16936619755487379 ~1986
1693817205629383910 ~1986
1693841135507298 ~1981
1693889135511138 ~1981
169394333878877 ~1980
1693957406549698 ~1982
1694129406590978 ~1982
1694177101650638 ~1981
1694191271070578 ~1982
1694197271071538 ~1982
1694239304963038 ~1982
Exp. Prime Factor Digits Year
16944471118335039 ~1983
1694507135560578 ~1981
1694533372797278 ~1982
1694573237240238 ~1982
1694603440596798 ~1982
1694821101689278 ~1981
169483133896637 ~1980
1694879305078238 ~1982
1694977508493118 ~1983
1695139406833378 ~1982
169514333902877 ~1980
1695157101709438 ~1981
1695289406869378 ~1982
1695319406876578 ~1982
1695527406926498 ~1982
1695611712156638 ~1983
1695643169564318 ~1981
169567133913437 ~1980
1695697101741838 ~1981
1695761508728318 ~1983
169577933915597 ~1980
1696001542720338 ~1983
1696069373135198 ~1982
1696157237461998 ~1982
1696199542783698 ~1983
Exp. Prime Factor Digits Year
16962071526586319 ~1984
1696501373230238 ~1982
169651133930237 ~1980
16965171357213619 ~1984
1696571135725698 ~1981
1696579576836878 ~1983
1696601135728098 ~1981
169681133936237 ~1980
1696861101811678 ~1981
1696951271512178 ~1982
169697933939597 ~1980
169724333944877 ~1980
1697243712842078
1697287271565938 ~1982
1697309135784738 ~1981
1697309644977438
1697357135788578 ~1981
16974191086348179 ~1983
16974592444340979 ~1984
1697461101847678 ~1981
169751933950397 ~1980
16975332410496879 ~1984
1697623271619698 ~1982
1697767271642738 ~1982
169802333960477 ~1980
Exp. Prime Factor Digits Year
1698077135846178 ~1981
1698247271719538 ~1982
1698289373623598 ~1982
1698569237799678 ~1982
1698679407682978 ~1982
1698797101927838 ~1981
1698857101931438 ~1981
1698857237839998
1698869543638098 ~1983
1699153373813678 ~1982
1699157917544798 ~1983
1699213679685218 ~1983
169931933986397 ~1980
16993331189533119 ~1983
1699391135951298 ~1981
1699597271935538 ~1982
1699619407908578 ~1982
1699667305940078 ~1982
169967933993597 ~1980
1699783679913218 ~1983
1699787135982978 ~1981
1699799135983938 ~1981
17001076120385219 ~1985
1700219306039438 ~1982
1700219850109518
358
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26-08-02