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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
2193167175453378 ~1982
2193239394783038 ~1983
2193239526377378
219331143866237 ~1981
2193311175464898
2193313131598798 ~1982
2193413131604798 ~1982
21934211579263139 ~1984
21934691403820179 ~1984
2193547219354718 ~1982
2193641658092318 ~1983
2193673350987698 ~1983
2193689175495138 ~1982
2193707570363838 ~1983
2193881175510498 ~1982
2193941702061138 ~1983
219395943879197 ~1981
219401943880397 ~1981
2194051219405118 ~1982
2194201351072178 ~1983
2194537131672238 ~1982
219463143892637 ~1981
21947213862708979 ~1985
219473943894797 ~1981
2195287219528718 ~1982
Exp. Prime Factor Digits Year
219535143907037 ~1981
21953592502709279 ~1985
219541143908237 ~1981
2195441702541138 ~1983
2195563219556318 ~1982
2195629658688718 ~1983
2195671351307378 ~1983
2195729526974978 ~1983
21959231976330719 ~1985
2196041175683298 ~1982
2196107175688578 ~1982
21964072152478879 ~1985
219653943930797 ~1981
219656343931277 ~1981
2196697131801838 ~1982
2196703219670318 ~1982
21967091054420339 ~1984
2196809307553278 ~1983
219695943939197 ~1981
2197333351573298 ~1983
2197357351577138 ~1983
2197367175789378 ~1982
2197381483423838 ~1983
219746343949277 ~1981
2197799175823938 ~1982
Exp. Prime Factor Digits Year
21978496681460979 ~1986
21979731186905439 ~1984
219829143965837 ~1981
21982911099145519
2198377131902638 ~1982
2198411175872898 ~1982
2198597175887778 ~1982
2198767234388562310 ~1987
2198879175910338 ~1982
2199077307870798 ~1983
2199133131947998 ~1982
219914343982877 ~1981
2199173307884238 ~1983
2199179527802978 ~1983
2199179703737298
2199221131953278 ~1982
2199221175937698
219931143986237 ~1981
219937143987437 ~1981
219947943989597 ~1981
2199521131971278 ~1982
2199577131974638 ~1982
2199629175970338 ~1982
2199803527952738 ~1983
2199823219982318 ~1982
Exp. Prime Factor Digits Year
2199917131995038 ~1982
2199941131996478 ~1982
219997143999437 ~1981
2200031572008078 ~1983
2200049176003938 ~1982
2200069484015198 ~1983
2200153352024498 ~1983
2200193132011598 ~1982
2200217176017378 ~1982
2200351924147438 ~1984
2200459924192798 ~1984
2200651220065118 ~1982
22006511980585919
2200711396127998 ~1983
2200727176058178 ~1982
2200763528183138 ~1983
2200813132048798 ~1982
2200841660252318 ~1983
2200867748294798 ~1984
2200889176071138 ~1982
2201033308144638 ~1983
220109944021997 ~1981
22011895943210319 ~1986
2201201176096098 ~1982
2201401132084078 ~1982
417
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26-01-11