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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
2268397362943538 ~1983
2268481499065838 ~1983
226850345370077 ~1981
2268587408345678 ~1983
2268649544475778 ~1983
226865945373197 ~1981
2268677136120638 ~1982
2268719168792693710 ~1987
2268793499134478 ~1983
226886345377277 ~1981
22689193494135279 ~1985
2268979771452878 ~1984
226903145380637 ~1981
226907945381597 ~1981
2269097181527778 ~1982
2269273136156398 ~1982
226934345386877 ~1981
2269349317708878 ~1983
226949945389997 ~1981
2269601136176078 ~1982
22698491588894319 ~1984
227000345400077 ~1981
2270003544800738
22701591816127219 ~1985
2270267590269438 ~1983
Exp. Prime Factor Digits Year
2270311227031118 ~1982
227045945409197 ~1981
227053145410637 ~1981
227059145411837 ~1981
2270659408718638 ~1983
2270713499556878 ~1983
227075945415197 ~1981
2270987590456638 ~1983
22711072225684879 ~1985
2271161136269678 ~1982
2271223227122318 ~1982
227123945424797 ~1981
2271239181699138
2271337136280238 ~1982
227144345428877 ~1981
2271443590575198
2271473213972756710 ~1987
2271497136289838 ~1982
2271593136295598 ~1982
227168345433677 ~1981
2271781499791838 ~1983
2271869181749538 ~1982
2271881136312878 ~1982
2271881181750498
2271967363514738 ~1983
Exp. Prime Factor Digits Year
227210345442077 ~1981
2272223954333678 ~1984
2272463727188178 ~1984
2272513136350798 ~1982
2272519409053438 ~1983
22725592590717279 ~1985
2272603227260318 ~1982
2272727181818178 ~1982
2272733318182638 ~1983
2272757181820578 ~1982
227285945457197 ~1981
227347145469437 ~1981
2273477545634498 ~1983
22734771273147139
227354345470877 ~1981
2273561136413678 ~1982
227365145473037 ~1981
2273701136422078 ~1982
227378345475677 ~1981
2273851363816178 ~1983
227401145480237 ~1981
2274017181921378 ~1982
2274121500306638 ~1983
227414345482877 ~1981
2274257545821698 ~1983
Exp. Prime Factor Digits Year
2274271227427118 ~1982
2274271409368798
2274367409386078 ~1983
2274367773284798
2274487227448718 ~1982
227449145489837 ~1981
2274541136472478 ~1982
2274593136475598 ~1982
22745931228280239
227459945491997 ~1981
2274653136479198 ~1982
2274709909883618 ~1984
2274841136490478 ~1982
2274901136494078 ~1982
227497145499437 ~1981
2275027364004338 ~1983
227510345502077 ~1981
2275201136512078 ~1982
2275313136518798 ~1982
227531945506397 ~1981
2275333136519998 ~1982
227543945508797 ~1981
2275439182035138
2275529182042338 ~1982
2275531364084978 ~1983
415
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25-04-13