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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
8629139172582798 ~1985
8629739172594798 ~1985
8629763172595278 ~1985
8629813517788798 ~1986
8630177517810638 ~1986
8630243172604878 ~1985
8630519172610398 ~1985
8630591172611838 ~1985
8630641517838478 ~1986
8631017517861038 ~1986
8631251172625038 ~1985
8631599172631998 ~1985
8631851172637038 ~1985
8632081517924878 ~1986
8632139172642798 ~1985
8632223172644478 ~1985
86322971381167539 ~1987
8632391172647838 ~1985
86324512244437279 ~1988
8632457690596578 ~1987
86324891899147599 ~1988
8632901690632098 ~1987
8632979172659598 ~1985
8633063172661278 ~1985
86331891208646479 ~1987
Exp. Prime Factor Digits Year
8633231172664638 ~1985
8633363172667278 ~1985
8633377518002638 ~1986
8633711172674238 ~1985
8633921518035278 ~1986
8634077518044638 ~1986
8634371172687438 ~1985
8634371690749698
8634397101885884710 ~1989
8634803172696078 ~1985
8634961518097678 ~1986
8635021518101278 ~1986
8635043172700878 ~1985
8635283172705678 ~1985
8635351863535118 ~1987
8635579863557918 ~1987
8635631172712638 ~1985
8635637690850978 ~1987
86359511381752179 ~1987
8635999863599918 ~1987
8636819172736398 ~1985
86368932591067919 ~1988
86371074836779939 ~1989
8637131172742638 ~1985
86371511381944179 ~1987
Exp. Prime Factor Digits Year
8637263172745278 ~1985
8637521518251278 ~1986
8637523863752318 ~1987
86377492073059779 ~1988
86388671554996079 ~1987
8639063172781278 ~1985
8639381518362878 ~1986
86394132073459139 ~1988
8639531172790638 ~1985
8639837518390238 ~1986
8639849691187938 ~1987
8639903172798078 ~1985
8639921518395278 ~1986
8640001518400078 ~1986
8640133518407998 ~1986
8640161518409678 ~1986
8640713518442798 ~1986
8640761518445678 ~1986
8640967864096718 ~1987
86410635703101599 ~1989
8641517518491038 ~1986
8641517691321378
8641883172837678 ~1985
8641957331851148910 ~1991
86420271555564879 ~1987
Exp. Prime Factor Digits Year
8642189691375138 ~1987
8642861518571678 ~1986
8643083172861678 ~1985
8643143172862878 ~1985
86433376050335919 ~1989
8643443172868878 ~1985
8643521691481698 ~1987
8643671172873438 ~1985
8643697518621838 ~1986
8643839172876798 ~1985
8643851172877038 ~1985
86438931210145039 ~1987
86439412593182319 ~1988
86439418298183379
8644019172880398 ~1985
86440571383049139 ~1987
8644679172893598 ~1985
8644949691595938 ~1987
86449573457982819 ~1988
8644991172899838 ~1985
8645243172904878 ~1985
8645341518720478 ~1986
8645597518735838 ~1986
86456332074951939 ~1988
86457611383321779 ~1987
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25-04-13