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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
22290083445801678 ~1988
22290419445808398 ~1988
22291211445824238 ~1988
22291319445826398 ~1988
22292591445851838 ~1988
22292723445854478 ~1988
22293539445870798 ~1988
22295051445901038 ~1988
22295723445914478 ~1988
22296203445924078 ~1988
22296359445927198 ~1988
22296479445929598 ~1988
222964931337789599 ~1990
22296779445935598 ~1988
22297211445944238 ~1988
22297799445955998 ~1988
22297823445956478 ~1988
22298231445964638 ~1988
22299143445982878 ~1988
22299311445986238 ~1988
22299611445992238 ~1988
22299779445995598 ~1988
22300331446006638 ~1988
22300451446009038 ~1988
22300511446010238 ~1988
Exponent Prime Factor Digits Year
223005114014091999
22300871446017438 ~1988
223018791784150339 ~1990
22301963446039278 ~1988
223025571338153439 ~1990
22303163446063278 ~1988
223032171338193039 ~1990
22303331446066638 ~1988
22303559446071198 ~1988
223036931338221599 ~1990
22304063446081278 ~1988
22304351446087038 ~1988
22304591446091838 ~1988
22304699446093998 ~1988
22304783446095678 ~1988
223051694907137199 ~1991
22305911446118238 ~1988
22306919446138398 ~1988
22307903446158078 ~1988
223081131338486799 ~1990
223086731338520399 ~1990
22308791446175838 ~1988
22308971446179438 ~1988
22309271446185438 ~1988
22309571446191438 ~1988
Exponent Prime Factor Digits Year
22309583446191678 ~1988
22309751446195038 ~1988
22309811446196238 ~1988
22310159446203198 ~1988
223102616693078319 ~1991
223104411338626479 ~1990
22310999446219998 ~1988
22311623446232478 ~1988
22311791446235838 ~1988
223120675354896099 ~1991
22312259446245198 ~1988
22312319446246398 ~1988
223123191784985539
22312331446246638 ~1988
22312883446257678 ~1988
22313111446262238 ~1988
22313363446267278 ~1988
22313411446268238 ~1988
22314443446288878 ~1988
22314503446290078 ~1988
223145333124034639 ~1990
22314791446295838 ~1988
22315031446300638 ~1988
22315379446307598 ~1988
223154871785238979 ~1990
Exponent Prime Factor Digits Year
22315739446314798 ~1988
22316039446320798 ~1988
223161533124261439 ~1990
22316363446327278 ~1988
22316951446339038 ~1988
22317023446340478 ~1988
22317083446341678 ~1988
22317203446344078 ~1988
22317563446351278 ~1988
22317803446356078 ~1988
223181511785452099 ~1990
22318463446369278 ~1988
22318811446376238 ~1988
22318823446376478 ~1988
223189971785519779 ~1990
223192331339153999 ~1990
22319543446390878 ~1988
22320191446403838 ~1988
22320503446410078 ~1988
223209171339255039 ~1990
22321259446425198 ~1988
223217693125047679 ~1990
22321811446436238 ~1988
22321991446439838 ~1988
22322291446445838 ~1988
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