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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
2263117135787038 ~1982
22631694526338019 ~1985
2263243543178338 ~1983
226346345269277 ~1981
2263531362164978 ~1983
2263553135813198 ~1982
226361945272397 ~1981
2263619181089538
2263619407451438
2263741135824478 ~1982
2263829181106338 ~1982
2263843362214898 ~1983
22639571448932499 ~1984
2264027181122178 ~1982
226418345283677 ~1981
2264203950965278 ~1984
22642391630252099 ~1984
226435145287037 ~1981
2264357135861438 ~1982
2264497135869838 ~1982
2264497362319538
2264573135874398 ~1982
2264771181181698 ~1982
2265173543641538 ~1983
2265271226527118 ~1982
Exp. Prime Factor Digits Year
2265287407751678 ~1983
2265287543668898
2265377135922638 ~1982
22654991087439539 ~1984
2265749725039698 ~1984
226577945315597 ~1981
2265793135947598 ~1982
226589945317997 ~1981
2266157135969438 ~1982
226616345323277 ~1981
2266217135973038 ~1982
226622345324477 ~1981
2266247181299778 ~1982
22662673263424499 ~1985
2266291226629118 ~1982
226633145326637 ~1981
226640345328077 ~1981
2266571407982798 ~1983
226661945332397 ~1981
22666311495976479 ~1984
2266711226671118 ~1982
2266787181342978 ~1982
2267129181370338 ~1982
2267231181378498 ~1982
2267257136035438 ~1982
Exp. Prime Factor Digits Year
2267281498801838 ~1983
2267297544151298 ~1983
22674074217377039 ~1985
2267521362803378 ~1983
226754345350877 ~1981
2267701136062078 ~1982
22677371043159039 ~1984
2267801136068078 ~1982
2267873136072398 ~1982
226808345361677 ~1981
2268139771167278 ~1984
226832345366477 ~1981
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
Exp. Prime Factor Digits Year
226907945381597 ~1981
2269097181527778 ~1982
2269273136156398 ~1982
226934345386877 ~1981
2269349317708878 ~1983
226949945389997 ~1981
2269601136176078 ~1982
22698491588894319 ~1984
227000345400077 ~1981
2270003544800738
22701591816127219 ~1985
2270267590269438 ~1983
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
414
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25-04-06