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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
4700743752118898 ~1985
47008071222209839 ~1986
4700833282049998 ~1984
470093994018797 ~1983
4700957376076578 ~1985
470107194021437 ~1983
4701071376085698
470114394022877 ~1983
47012531034275679 ~1986
470131194026237 ~1983
4701311846235998
4701371846246798 ~1985
47015891128381379 ~1986
4701601282096078 ~1984
470173194034637 ~1983
470174394034877 ~1983
47017912256859699 ~1986
47018994889974979 ~1987
4701929376154338 ~1985
470207994041597 ~1983
47021697147296899 ~1988
470228394045677 ~1983
4702337282140238 ~1984
4702361282141678 ~1984
47023613385699939
Exp. Prime Factor Digits Year
470240394048077 ~1983
4702409376192738 ~1985
4702627470262718 ~1985
4702777282166638 ~1984
470312394062477 ~1983
47036392351819519 ~1987
470371194074237 ~1983
470381994076397 ~1983
4703939376315138 ~1985
4704151752664178 ~1985
470426394085277 ~1983
4704353282261198 ~1984
4704437658621198 ~1985
4704617658646398 ~1985
470465994093197 ~1983
4704773282286398 ~1984
47047793387440899 ~1987
47047794610683439
470519994103997 ~1983
470539194107837 ~1983
470543994108797 ~1983
470545194109037 ~1983
4705541376443298 ~1985
4705853658819438 ~1985
4705997376479778 ~1985
Exp. Prime Factor Digits Year
4706083752973298 ~1985
470629194125837 ~1983
4706417376513378 ~1985
4706473282388398 ~1984
4706531376522498 ~1985
4706657376532578 ~1985
4706711376536898 ~1985
470693994138797 ~1983
4706993282419598 ~1984
470702394140477 ~1983
470723994144797 ~1983
47072811788766799 ~1986
47073591506354899 ~1986
47075172259608179 ~1986
47075332542067839 ~1987
470777994155597 ~1983
470821194164237 ~1983
47084633484262639 ~1987
47085671883426819 ~1986
4708607376688578 ~1985
4708757376700578 ~1985
47088412919481439 ~1987
470887194177437 ~1983
4708889376711138 ~1985
4709113282546798 ~1984
Exp. Prime Factor Digits Year
4709143470914318 ~1985
4709399376751938 ~1985
47094614521082579 ~1987
470959194191837 ~1983
4709597659343598 ~1985
470965194193037 ~1983
470972394194477 ~1983
4709759376780738 ~1985
470987994197597 ~1983
4709981282598878 ~1984
4710103471010318 ~1985
4710113282606798 ~1984
4710187753629938 ~1985
47102272355113519 ~1987
4710283471028318 ~1985
4710317376825378 ~1985
471037194207437 ~1983
4710599376847938 ~1985
47107732638032899 ~1987
4710961282657678 ~1984
4711121282667278 ~1984
4711367376909378 ~1985
471137994227597 ~1983
471139194227837 ~1983
4711517659612398 ~1985
671
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25-11-02