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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
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
16962071526586319 ~1984
1696501373230238 ~1982
169651133930237 ~1980
16965171357213619 ~1984
1696571135725698 ~1981
1696579576836878 ~1983
1696601135728098 ~1981
Exp. Prime Factor Digits Year
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
1698077135846178 ~1981
1698247271719538 ~1982
1698289373623598 ~1982
1698569237799678 ~1982
1698679407682978 ~1982
1698797101927838 ~1981
1698857101931438 ~1981
Exp. Prime Factor Digits Year
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
1700233782107198 ~1983
1700267952149538 ~1983
1700339136027138 ~1981
1700353272056498 ~1982
170042334008477 ~1980
170059134011837 ~1980
1700591714248238
Exp. Prime Factor Digits Year
1700617680246818 ~1983
1700683272109298 ~1982
1700819306147438 ~1982
1700987306177678 ~1982
1701059544338898 ~1983
1701061102063678 ~1981
1701137136090978 ~1981
1701137510341118
170117934023597 ~1980
170126334025277 ~1980
1701437136114978 ~1981
1701461544467538 ~1983
1701493374328478 ~1982
1701523680609218 ~1983
1701571170157118 ~1981
1701643272262898 ~1982
1701643408394338
1701643680657218
17017316262370099 ~1985
170174334034877 ~1980
170185134037037 ~1980
1701857102111438 ~1981
1702061510618318 ~1983
170213934042797 ~1980
1702237510671118 ~1983
355
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26-04-05