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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
8362573501754398 ~1986
8362619167252398 ~1985
8362631669010498 ~1987
8362897501773838 ~1986
83628971338063539
8363123167262478 ~1985
8363471167269438 ~1985
8363483167269678 ~1985
8363581501814878 ~1986
8363783167275678 ~1985
8363821501829278 ~1986
8363879167277598 ~1985
83639411840067039 ~1988
8364071167281438 ~1985
8364173501850398 ~1986
83642471505564479 ~1987
8364431167288638 ~1985
8364523836452318 ~1987
8364877501892638 ~1986
83651711505730799 ~1987
8365223167304478 ~1985
8365391167307838 ~1985
8365397501923838 ~1986
8365523167310478 ~1985
83656137194427199 ~1989
Exp. Prime Factor Digits Year
8365661501939678 ~1986
8365793501947598 ~1986
8365979167319598 ~1985
8366003167320078 ~1985
8366069669285538 ~1987
8366101501966078 ~1986
8366243167324878 ~1985
8366573501994398 ~1986
83665916023945539 ~1989
8366777502006638 ~1986
8366777132195076710
8366843167336878 ~1985
8367059167341198 ~1985
8367113502026798 ~1986
8367253502035198 ~1986
8367851167357038 ~1985
8368043167360878 ~1985
8368259167365198 ~1985
8368337502100238 ~1986
8368463167369278 ~1985
8368931669514498 ~1987
83690691171669679 ~1987
8369279167385598 ~1985
8369303167386078 ~1985
8369639167392798 ~1985
Exp. Prime Factor Digits Year
8369657502179438 ~1986
8369759167395198 ~1985
8370311167406238 ~1985
83703112176280879
83706171171886399 ~1987
8370721502243278 ~1986
8370959167419198 ~1985
8371211167424238 ~1985
8371703167434078 ~1985
8371739167434798 ~1985
8371813502308798 ~1986
8371901502314078 ~1986
83719275525471839 ~1989
83720831339533299 ~1987
8372261502335678 ~1986
8372291167445838 ~1985
8372519167450398 ~1985
8372579167451598 ~1985
83729634186481519 ~1988
8373073502384398 ~1986
8373923167478478 ~1985
8373971167479438 ~1985
83740972009783299 ~1988
83743391507381039 ~1987
83744092679810899 ~1988
Exp. Prime Factor Digits Year
8375039167500798 ~1985
8375183167503678 ~1985
8375261502515678 ~1986
8375273502516398 ~1986
8375291167505838 ~1985
8375401502524078 ~1986
8375617502537038 ~1986
8375663167513278 ~1985
8375831167516638 ~1985
8375963167519278 ~1985
8376191167523838 ~1985
8376671167533438 ~1985
8376799837679918 ~1987
8377403167548078 ~1985
8377417502645038 ~1986
8377559167551198 ~1985
83776971172877599 ~1987
8377777502666638 ~1986
83779272010702499 ~1988
8377997502679838 ~1986
8378057502683438 ~1986
8378171167563438 ~1985
83782731172958239 ~1987
8378291167565838 ~1985
8378299837829918 ~1987
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