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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
223117144623437 ~1981
2231209535490178 ~1983
2231219535492578 ~1983
2231279178502338 ~1982
2231279401630238
22312931026394799 ~1984
2231297133877838 ~1982
2231309535514178 ~1983
2231311223131118 ~1982
2231479223147918 ~1982
2231599401687838 ~1983
2231653133899198 ~1982
2231681669504318 ~1983
2231707401707278 ~1983
2231711580244878 ~1983
2231849312458878 ~1983
2231881357100978 ~1983
223217944643597 ~1981
2232281178582498 ~1982
2232353535764738 ~1983
2232401178592098 ~1982
2232421133945278 ~1982
2232493357198898 ~1983
223255144651037 ~1981
2232583248709746310 ~1987
Exp. Prime Factor Digits Year
2232613535827138 ~1983
2232749178619938 ~1982
2232773535865538 ~1983
2232847357255538 ~1983
2232907223290718 ~1982
2232941133976478 ~1982
223295944659197 ~1981
223301944660397 ~1981
2233199937943598 ~1984
2233213491306878 ~1983
223322344664477 ~1981
2233247401984478 ~1983
2233331178666498 ~1982
2233379178670338 ~1982
2233397848690878 ~1984
2233601134016078 ~1982
223363144672637 ~1981
2233631580744078
22338591072252339 ~1984
22339691742495839 ~1984
2234161134049678 ~1982
22344471474735039 ~1984
2234471178757698 ~1982
2234503223450318 ~1982
2234593357534898 ~1983
Exp. Prime Factor Digits Year
2234621715078738 ~1984
2234699178775938 ~1982
2234717178777378 ~1982
22349272547816799 ~1985
2235257178820578 ~1982
22353232727094079 ~1985
2235437670631118 ~1983
2235557134133438 ~1982
2235617134137038 ~1982
2235647178851778 ~1982
2235797536591298 ~1983
2235803581308798 ~1983
2235851402453198 ~1983
2235869670760718 ~1983
2235907357745138 ~1983
2235971402474798 ~1983
22360091565206319 ~1984
223607944721597 ~1981
2236183536683938 ~1983
2236189491961598 ~1983
2236349313088878 ~1983
2236417536740098 ~1983
2236657134199438 ~1982
2236747357879538 ~1983
2236769178941538 ~1982
Exp. Prime Factor Digits Year
223682344736477 ~1981
2236907178952578 ~1982
2236921671076318 ~1983
2236981134218878 ~1982
2236981671094318
223705144741037 ~1981
2237143536914338 ~1983
2237413492230878 ~1983
2237563127541091110 ~1987
223778344755677 ~1981
2237813313293838 ~1983
223801144760237 ~1981
223802344760477 ~1981
22382331253410499 ~1984
2238361134301678 ~1982
2238419179073538 ~1982
2238473313386238 ~1983
22384731208775439
2238487402927678 ~1983
2238721134323278 ~1982
2238799223879918 ~1982
2238811223881118 ~1982
2239007403021278 ~1983
2239049179123938 ~1982
2239103537384738 ~1983
419
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25-10-26