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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
83744092679810899 ~1988
8374571669965698 ~1987
8375039167500798 ~1985
8375183167503678 ~1985
8375261502515678 ~1986
8375273502516398 ~1986
8375291167505838 ~1985
8375401502524078 ~1986
8375617502537038 ~1986
8375663167513278 ~1985
8375831167516638 ~1985
8375963167519278 ~1985
8376191167523838 ~1985
8376671167533438 ~1985
83766711507800799
8376799837679918 ~1987
8377403167548078 ~1985
8377417502645038 ~1986
8377559167551198 ~1985
83776971172877599 ~1987
8377777502666638 ~1986
83779272010702499 ~1988
8377997502679838 ~1986
8378057502683438 ~1986
8378171167563438 ~1985
Exp. Prime Factor Digits Year
83782731172958239 ~1987
8378291167565838 ~1985
8378299837829918 ~1987
8378351167567038 ~1985
8378633502717998 ~1986
8378681670294498 ~1987
8378879167577598 ~1985
8378879670310338
8379149221209533710 ~1990
83792572011021699 ~1988
8379401670352098 ~1987
83794732011073539 ~1988
8379557502773438 ~1986
8379599167591998 ~1985
8379647670371778 ~1987
8379907837990718 ~1987
83799112178776879 ~1988
8380103167602078 ~1985
83802591508446639 ~1987
8380693502841598 ~1986
83807215196047039 ~1989
8380781502846878 ~1986
83812271340996339 ~1987
8381237502874238 ~1986
8381291167625838 ~1985
Exp. Prime Factor Digits Year
8381341502880478 ~1986
8381669670533538 ~1987
8381699167633998 ~1985
83817191508709439 ~1987
8381819167636398 ~1985
8381903167638078 ~1985
83819091173467279 ~1987
8381993502919598 ~1986
8382151838215118 ~1987
8382299167645998 ~1985
8382323167646478 ~1985
83824432011786339 ~1988
8382719167654398 ~1985
8382767670621378 ~1987
8383019167660398 ~1985
8383163167663278 ~1985
8383469670677538 ~1987
8383631167672638 ~1985
8384003167680078 ~1985
8384093503045598 ~1986
8384309670744738 ~1987
8384399670751938 ~1987
8384687670774978 ~1987
8385059167701198 ~1985
8385521503131278 ~1986
Exp. Prime Factor Digits Year
8385563167711278 ~1985
8386223167724478 ~1985
83862671509528079 ~1987
8386331167726638 ~1985
8386439167728798 ~1985
83864394025490739
8386739167734798 ~1985
8386769132510950310 ~1990
8386769187863625710
8386883167737678 ~1985
8387033503221998 ~1986
8387191838719118 ~1987
8387231167744638 ~1985
8387243167744878 ~1985
8387339167746798 ~1985
8387831671026498 ~1987
8387957503277438 ~1986
83882091174349279 ~1987
8388539671083138 ~1987
83886832684378579 ~1988
8388833503329998 ~1986
8389237503354238 ~1986
8389657503379438 ~1986
8389679671174338 ~1987
8389883167797678 ~1985
944
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25-11-02