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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
2982697178961838 ~1983
2982799298279918 ~1983
2982827238626178 ~1983
298309159661837 ~1982
2983373417672238 ~1984
298349959669997 ~1982
2983697417717598 ~1984
298394359678877 ~1982
2983949675566053710 ~1989
2983957895187118 ~1984
298418359683677 ~1982
2984221477475378 ~1984
2984237238738978 ~1983
2984239537163038 ~1984
2984281179056878 ~1983
298429159685837 ~1982
2984461179067678 ~1983
2984461200555779310
2984609238768738 ~1983
2984717417860398 ~1984
29847491193899619 ~1985
2984909716378178 ~1984
298501159700237 ~1982
29850618059664719 ~1987
2985113179106798 ~1983
Exp. Prime Factor Digits Year
298517959703597 ~1982
29852111253788639 ~1985
2985467238837378 ~1983
298549159709837 ~1982
2985551238844098 ~1983
2985583477693298 ~1984
29856732866246099 ~1986
2985713179142798 ~1983
298603159720637 ~1982
29861111194444419 ~1985
29861711731979199 ~1985
2986301179178078 ~1983
2986301238904098
2986387477821938 ~1984
29864091134835439 ~1985
2986453477832498 ~1984
2986519537573438 ~1984
29865312867069779 ~1986
298655959731197 ~1982
2986561179193678 ~1983
2986657179199438 ~1983
2986721238937698 ~1983
29867296929211299 ~1987
298679959735997 ~1982
2986799238943938
Exp. Prime Factor Digits Year
2986811955779538 ~1984
298685959737197 ~1982
2986939148749562310 ~1987
2987057179223438 ~1983
29872792389823219 ~1985
2987437179246238 ~1983
2987459537742638 ~1984
2987771239021698 ~1983
29877911732918799 ~1985
2987863298786318 ~1983
2987983478077298 ~1984
2988019537843438 ~1984
2988341179300478 ~1983
2988389418374478 ~1984
2988707537967278 ~1984
2988847298884718 ~1983
29889611195584419 ~1985
29890031016261039 ~1985
2989033179341998 ~1983
2989033478245298
298913959782797 ~1982
2989139538045038
2989177179350638 ~1983
2989201179352078 ~1983
2989211239136898 ~1983
Exp. Prime Factor Digits Year
298931959786397 ~1982
298939159787837 ~1982
2989513657692878 ~1984
298969159793837 ~1982
29897591016518079 ~1985
29900211853813039 ~1985
29900271674415139 ~1985
299006359801277 ~1982
2990083299008318 ~1983
2990213418629838 ~1984
2990237179414238 ~1983
2990371478459378 ~1984
2990677179440638 ~1983
2990677717762498
2990753957040978 ~1984
299078359815677 ~1982
2990791478526578 ~1984
299083159816637 ~1982
2990833179449998 ~1983
2990893717814338 ~1984
2990987777656638 ~1984
29910771675003139 ~1985
2991139299113918 ~1983
299120359824077 ~1982
2991367299136718 ~1983
494
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25-04-13