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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
341078368215677 ~1982
3410857204651438 ~1983
3411049818651778 ~1985
341131168226237 ~1982
3411523341152318 ~1984
341159968231997 ~1982
3411673204700398 ~1983
34117011637616499 ~1985
3411739614113038 ~1984
341185168237037 ~1982
3411893477665038 ~1984
34119011569474479 ~1985
34120675800513919 ~1987
3412069750655198 ~1985
3412309750707998 ~1985
3412313204738798 ~1983
34124811091993939 ~1985
3412483818995938 ~1985
34125372184023699 ~1986
341258368251677 ~1982
3412637273010978 ~1984
3412649273011938 ~1984
341267968253597 ~1982
3412679273014338
34127535665169999 ~1987
Exp. Prime Factor Digits Year
3412931273034498 ~1984
3412949273035938 ~1984
341305168261037 ~1982
3413077204784638 ~1983
3413099273047938 ~1984
3413101204786078 ~1983
341341168268237 ~1982
341375968275197 ~1982
3413789477930478 ~1984
3413831273106498 ~1984
341401168280237 ~1982
3414163341416318 ~1984
3414227273138178 ~1984
3414287273142978 ~1984
341431168286237 ~1982
3414337204860238 ~1983
3414421204865278 ~1983
3414457204867438 ~1983
34144571024337119
3414527614614878 ~1984
3414581204874878 ~1983
3414857819565698 ~1985
3414883341488318 ~1984
3415261204915678 ~1983
341567968313597 ~1982
Exp. Prime Factor Digits Year
3415697204941838 ~1983
3415697273255778
3415757204945438 ~1983
3415781273262498 ~1984
341588368317677 ~1982
3415897204953838 ~1983
341593168318637 ~1982
341605168321037 ~1982
3416057819853698 ~1985
341611168322237 ~1982
341627968325597 ~1982
34163891639866739 ~1985
3416459273316738 ~1984
3416641204998478 ~1983
3416683341668318 ~1984
3416731341673118 ~1984
34167979020344099 ~1987
341699968339997 ~1982
3417121751766638 ~1985
341714368342877 ~1982
3417487615147678 ~1984
341750368350077 ~1982
3417847820283298 ~1985
3417893205073598 ~1983
3417899273431938 ~1984
Exp. Prime Factor Digits Year
3417907341790718 ~1984
3418087341808718 ~1984
3418913478647838 ~1984
341893168378637 ~1982
3418931273514498
3418997273519778 ~1984
3419033478664638 ~1984
341924368384877 ~1982
3419321205159278 ~1983
34195311914937379 ~1986
3419653205179198 ~1983
3419707341970718 ~1984
342008368401677 ~1982
34200831915246499
3420253205215198 ~1983
3420341273627298 ~1984
3420457205227438 ~1983
3420617478886398 ~1984
3420631342063118 ~1984
3420787615741678 ~1984
3420821205249278 ~1983
342107968421597 ~1982
3421513752732878 ~1985
3421633205297998 ~1983
342167968433597 ~1982
560
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26-04-05