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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
10111103202222078 ~1986
101111035055551519
101112731617803699 ~1988
10111511202230238 ~1986
10111511808920898
10111631808930498 ~1987
10112101606726078 ~1987
10113179202263598 ~1986
10113193606791598 ~1987
10113731202274638 ~1986
10113791809103298 ~1987
101139071820503279 ~1988
10113959202279198 ~1986
10114151202283038 ~1986
10114199809135938 ~1987
10114211202284238 ~1986
101144932427478339 ~1988
101147571416065999 ~1988
10115177809214178 ~1987
10115297606917838 ~1987
10115333606919998 ~1987
10115531202310638 ~1986
10115639202312798 ~1986
10115711202314238 ~1986
10115761606945678 ~1987
Exponent Prime Factor Digits Year
10115993606959598 ~1987
10116103641360930310 ~1992
10116143202322878 ~1986
101164334046573219 ~1989
10116731202334638 ~1986
10116971202339438 ~1986
10117061809364898 ~1987
10117301200322559910 ~1991
101173213035196319 ~1989
10117403202348078 ~1986
10117463202349278 ~1986
101175314856414899 ~1989
10117957607077438 ~1987
10118063202361278 ~1986
10118159202363198 ~1986
101182092428370179 ~1988
101182911821292399 ~1988
10118657607119438 ~1987
10118701607122078 ~1987
10118711202374238 ~1986
10118879202377598 ~1986
10118897607133838 ~1987
101192471011924719 ~1987
10119359202387198 ~1986
10119401607164078 ~1987
Exponent Prime Factor Digits Year
10119731202394638 ~1986
10119737607184238 ~1987
10119803202396078 ~1986
10120139202402798 ~1986
10120199202403998 ~1986
10120421607225278 ~1987
101207231012072319 ~1987
101207831012078319 ~1987
10121063202421278 ~1986
10121333607279998 ~1987
101215394251046399 ~1989
10121543202430878 ~1986
10121603202432078 ~1986
10121939202438798 ~1986
10122251202445038 ~1986
10122317607339038 ~1987
10122419202448398 ~1986
10122923202458478 ~1986
10122971202459438 ~1986
10123199202463998 ~1986
10123601607416078 ~1987
10123777607426638 ~1987
10124039202480798 ~1986
10124063202481278 ~1986
10124099202481998 ~1986
Exponent Prime Factor Digits Year
10124123202482478 ~1986
10124281607456878 ~1987
10124483202489678 ~1986
10124759202495198 ~1986
10125023202500478 ~1986
10125041607502478 ~1987
10125077607504638 ~1987
10125431202508638 ~1986
10125433607525998 ~1987
10125551202511038 ~1986
10125881607552878 ~1987
10126177607570638 ~1987
10126223202524478 ~1986
10126691202533838 ~1986
10126717607603038 ~1987
101267833443106239 ~1989
10127129810170338 ~1987
10127213607632798 ~1987
10127339202546798 ~1986
10127651202553038 ~1986
101276714051068419 ~1989
10127783202555678 ~1986
10127941607676478 ~1987
10128479202569598 ~1986
101285633241140179 ~1989
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25-07-08