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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
7709063154181278 ~1985
7709153462549198 ~1986
77092271233476339 ~1987
7709587770958718 ~1986
7709699154193998 ~1985
77100071387801279 ~1987
7710377462622638 ~1986
7710743154214878 ~1985
7710863154217278 ~1985
7711019616881538 ~1986
7711057462663438 ~1986
7711087771108718 ~1986
7711103154222078 ~1985
7711139154222798 ~1985
7711181462670878 ~1986
7711469616917538 ~1986
7711573462694398 ~1986
77119334164443839 ~1988
7712051616964098 ~1986
77122131079709839 ~1987
7712219154244398 ~1985
7712729617018338 ~1986
7712819154256398 ~1985
7713071154261438 ~1985
7713071617045698
Exp. Prime Factor Digits Year
77130771079830799 ~1987
77131273085250819 ~1988
7713569617085538 ~1986
7713613462816798 ~1986
77136592468370899 ~1988
7713701462822078 ~1986
7714111771411118 ~1986
7714571154291438 ~1985
7714621462877278 ~1986
7714757617180578 ~1986
77149212314476319 ~1988
7715053462903198 ~1986
7715423154308478 ~1985
77155491080176879 ~1987
7715579154311598 ~1985
7715723154314478 ~1985
7715891154317838 ~1985
7716019771601918 ~1986
7716281462976878 ~1986
7716503154330078 ~1985
7716517462991038 ~1986
7716713463002798 ~1986
7716743154334878 ~1985
7716767617341378 ~1986
7716899154337998 ~1985
Exp. Prime Factor Digits Year
7717001463020078 ~1986
7717043154340878 ~1985
7717331154346638 ~1985
7717499154349998 ~1985
7717751154355038 ~1985
7717883154357678 ~1985
7718159154363198 ~1985
7718177463090638 ~1986
7718327617466178 ~1986
7718393463103598 ~1986
7718407771840718 ~1986
77184131852419139 ~1987
7718471154369438 ~1985
7718939154378798 ~1985
7718993463139598 ~1986
7719197463151838 ~1986
7719311154386238 ~1985
7719359154387198 ~1985
77197636330205679 ~1989
7719841463190478 ~1986
7719923154398478 ~1985
77202413705715699 ~1988
7720451154409038 ~1985
7720561463233678 ~1986
7720871154417438 ~1985
Exp. Prime Factor Digits Year
7721251772125118 ~1986
77212933551794799 ~1988
7721303154426078 ~1985
7721369617709538 ~1986
7721501463290078 ~1986
7721891154437838 ~1985
7721977463318638 ~1986
77220171081082399 ~1987
7722119154442398 ~1985
7722443154448878 ~1985
7722623154452478 ~1985
7722791154455838 ~1985
77228334170329839 ~1988
7722931772293118 ~1986
7723097617847778 ~1986
7723283154465678 ~1985
7723511154470238 ~1985
7723679154473598 ~1985
7723721463423278 ~1986
7723817617905378 ~1986
7723973463438398 ~1986
7723979154479598 ~1985
7724371772437118 ~1986
7724741617979298 ~1986
77247531081465439 ~1987
885
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25-07-08