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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
4816463116558404710
4816531481653118 ~1985
4816921770707378 ~1985
4817017289021038 ~1984
48170831637808239 ~1986
4817101289026078 ~1984
4817339385387138 ~1985
4817381289042878 ~1984
4817411867133998 ~1986
4817537289052238 ~1984
48176291156230979 ~1986
481765196353037 ~1983
4817717289063038 ~1984
4817873289072398 ~1984
4818211481821118 ~1985
481823996364797 ~1983
4818757771001138 ~1985
4818767385501378 ~1985
481889996377997 ~1983
4819033289141998 ~1984
4819093289145598 ~1984
481916396383277 ~1983
48192014626432979 ~1987
4819513771122098 ~1985
481975196395037 ~1983
Exp. Prime Factor Digits Year
48198531542352979 ~1986
4819937385594978 ~1985
481994396398877 ~1983
4819967385597378 ~1985
4820051385604098 ~1985
4820107482010718 ~1985
4820219385617538 ~1985
4820759867736638 ~1986
4820951385676098 ~1985
4820987385678978 ~1985
482105996421197 ~1983
4821059385684738
4821101385688098 ~1985
482114396422877 ~1983
4821617675026398 ~1985
4821737385738978 ~1985
482177996435597 ~1983
4821821289309278 ~1984
48223091928923619 ~1986
4822427385794178 ~1985
482245196449037 ~1983
4822759482275918 ~1985
482309996461997 ~1983
4823297289397838 ~1984
482330396466077 ~1983
Exp. Prime Factor Digits Year
4823339868201038 ~1986
48233395016272579
4823459385876738 ~1985
482347196469437 ~1983
4823573289414398 ~1984
4823719115769256110 ~1988
482372396474477 ~1983
48238493762602239 ~1987
4823911771825778 ~1985
48239991157759779 ~1986
4824317385945378 ~1985
48243291833245039 ~1986
482441996488397 ~1983
4824559482455918 ~1985
482479196495837 ~1983
4824943482494318 ~1985
482495996499197 ~1983
4825001289500078 ~1984
482509196501837 ~1983
4825187868533678 ~1986
4825453289527198 ~1984
482555996511197 ~1983
4825627772100338 ~1985
4825673289540398 ~1984
4825921772147378 ~1985
Exp. Prime Factor Digits Year
482597996519597 ~1983
4825991386079298 ~1985
482605196521037 ~1983
48260511254773279
48262071375468995111 ~1991
482623196524637 ~1983
4826777675748798 ~1985
482683196536637 ~1983
482707196541437 ~1983
4827157289629438 ~1984
4827157772345138
482719196543837 ~1983
482723996544797 ~1983
48275211448256319 ~1986
4827547482754718 ~1985
4827617386209378 ~1985
4827853289671198 ~1984
482789996557997 ~1983
4828171482817118 ~1985
4828349386267938 ~1985
4828381289702878 ~1984
48286131448583919 ~1986
482875196575037 ~1983
482887196577437 ~1983
482897996579597 ~1983
684
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25-12-14