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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
3136877250950178 ~1983
3136933188215998 ~1983
3137117941135118 ~1985
3137257188235438 ~1983
3137371313737118 ~1983
313739962747997 ~1982
3137521188251278 ~1983
3137573439260238 ~1984
313766362753277 ~1982
3137669251013538 ~1983
3137747251019778 ~1983
3137749753059778 ~1984
3137837188270238 ~1983
3137941188276478 ~1983
313799962759997 ~1982
3138041251043298 ~1983
313807162761437 ~1982
3138361188301678 ~1983
3138449439382878 ~1984
3138521251081698 ~1983
3138593188315598 ~1983
3138671564960798 ~1984
3138799313879918 ~1983
313885162777037 ~1982
313891162778237 ~1982
Exp. Prime Factor Digits Year
3139111565039998 ~1984
313940362788077 ~1982
3139471313947118 ~1983
3139597188375838 ~1983
3139621188377278 ~1983
3139621941886318
313991962798397 ~1982
313999162799837 ~1982
3140041188402478 ~1983
314009962801997 ~1982
314018362803677 ~1982
314024362804877 ~1982
3140317502450738 ~1984
3140653188439198 ~1983
3140701942210318 ~1985
3140717439700398 ~1984
314078362815677 ~1982
3140807251264578 ~1983
31409113769093219 ~1986
3140933188455998 ~1983
3140933753823938
3141283314128318 ~1983
3141319314131918 ~1983
314137162827437 ~1982
3141473188488398 ~1983
Exp. Prime Factor Digits Year
3141557439817998 ~1984
3141647251331778 ~1983
3141877188512638 ~1983
3141883314188318 ~1983
314189962837997 ~1982
314195962839197 ~1982
314225962845197 ~1982
3142259251380738
3142333188539998 ~1983
3142393188543598 ~1983
3142393691326478
3142453502792498 ~1984
3142709251416738 ~1983
3142963502874098 ~1984
3143141251451298 ~1983
314324362864877 ~1982
3143299314329918 ~1983
3143299103728867110
31435491508903539 ~1985
314377162875437 ~1982
314405962881197 ~1982
3144059565930638
31440678614743599 ~1987
314408362881677 ~1982
314414362882877 ~1982
Exp. Prime Factor Digits Year
3144157503065138 ~1984
3144217188653038 ~1983
31442591348258259311 ~1990
314453962890797 ~1982
31447612452913599 ~1986
3144907314490718 ~1983
3145091817723678 ~1984
3145097188705838 ~1983
314528362905677 ~1982
3145283754867938
3145553440377438 ~1984
314555962911197 ~1982
3145559251644738
3145873188752398 ~1983
3145903314590318 ~1983
3146021188761278 ~1983
31460412453911999 ~1986
314618362923677 ~1982
3146237251698978 ~1983
31462431573121519 ~1985
314630362926077 ~1982
3146399251711938 ~1983
314645962929197 ~1982
31464831573241519 ~1985
3146501251720098 ~1983
510
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25-04-13