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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.
Exponent Prime Factor Digits Year
220454832204548319 ~1990
22045883440917678 ~1988
22046159440923198 ~1988
220465032204650319 ~1990
220466211322797279 ~1989
22046879440937598 ~1988
22047323440946478 ~1988
22047637101419130310 ~1992
220477993968603839 ~1991
22047803440956078 ~1988
22047983440959678 ~1988
22048309119060868710 ~1992
220485891763887139 ~1990
22048739440974798 ~1988
220487991763903939 ~1990
22049771440995438 ~1988
22049999440999998 ~1988
220502211764017699 ~1990
22050323441006478 ~1988
22050911441018238 ~1988
22051283441025678 ~1988
220515731323094399 ~1989
220518072205180719 ~1990
22052003441040078 ~1988
22052039441040798 ~1988
Exponent Prime Factor Digits Year
220521611323129679 ~1989
220525491764203939 ~1990
220528873969519679 ~1991
22053491441069838 ~1988
22053611441072238 ~1988
220539912205399119 ~1990
22054163441083278 ~1988
22054481807194004710 ~1994
22055003441100078 ~1988
22055063441101278 ~1988
220555671764445379 ~1990
22055591441111838 ~1988
22055651441113038 ~1988
220559896616796719 ~1991
22056323441126478 ~1988
22056491441129838 ~1988
22056623441132478 ~1988
22056899441137998 ~1988
22057571441151438 ~1988
22057859441157198 ~1988
220584171323505039 ~1989
22058999441179998 ~1988
220590175294164099 ~1991
22059071441181438 ~1988
22059083441181678 ~1988
Exponent Prime Factor Digits Year
22059263441185278 ~1988
22059743441194878 ~1988
22060403441208078 ~1988
22060523441210478 ~1988
22060739441214798 ~1988
22061411441228238 ~1988
220616472206164719 ~1990
22062191441243838 ~1988
22062671441253438 ~1988
22062919194153687310 ~1992
22063631441272638 ~1988
22063799441275998 ~1988
22063991441279838 ~1988
22064459441289198 ~1988
22064639441292798 ~1988
220648571323891439 ~1989
220653537060912979 ~1991
220655531323933199 ~1989
220659913971878399 ~1991
22066139441322798 ~1988
22066151441323038 ~1988
22066679441333598 ~1988
220667211324003279 ~1989
22067219441344398 ~1988
220674771765398179 ~1990
Exponent Prime Factor Digits Year
220678971324073839 ~1989
220683531324101199 ~1989
22068479441369598 ~1988
22068551441371038 ~1988
22068659441373198 ~1988
22068719441374398 ~1988
22069919441398398 ~1988
22070291441405838 ~1988
22070519441410398 ~1988
22070663441413278 ~1988
220708133089913839 ~1990
22070831441416638 ~1988
22070963441419278 ~1988
22071239441424798 ~1988
22071551441431038 ~1988
22071779441435598 ~1988
22072343441446878 ~1988
22072703441454078 ~1988
22072931441458638 ~1988
22072943441458878 ~1988
22073591441471838 ~1988
22074119441482398 ~1988
22075139441502798 ~1988
220756931324541599 ~1989
22075811441516238 ~1988
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25-04-13