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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
3140717439700398 ~1984
314078362815677 ~1982
3140807251264578 ~1983
31409113769093219 ~1986
3140933188455998 ~1983
3140933753823938
3141283314128318 ~1983
3141319314131918 ~1983
314137162827437 ~1982
3141473188488398 ~1983
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
Exp. Prime Factor Digits Year
314324362864877 ~1982
3143299314329918 ~1983
3143299103728867110
31435491508903539 ~1985
314377162875437 ~1982
314405962881197 ~1982
3144059565930638
31440678614743599 ~1987
314408362881677 ~1982
314414362882877 ~1982
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
Exp. Prime Factor Digits Year
3146021188761278 ~1983
31460412453911999 ~1986
314618362923677 ~1982
3146237251698978 ~1983
31462431573121519 ~1985
314630362926077 ~1982
3146399251711938 ~1983
314645962929197 ~1982
31464831573241519 ~1985
3146501251720098 ~1983
31467711762191779 ~1985
3146867251749378 ~1983
3146953188817198 ~1983
3146987566457678 ~1984
3147121188827278 ~1983
3147169944150718 ~1985
3147197440607598 ~1984
31472231258889219 ~1985
3147233188833998 ~1983
3147259314725918 ~1983
31473111007139539 ~1985
31476493210601999 ~1986
3147719251817538 ~1983
314797162959437 ~1982
3148001188880078 ~1983
Exp. Prime Factor Digits Year
314825962965197 ~1982
31482592266746499
3148337440767198 ~1984
314851162970237 ~1982
3148627503780338 ~1984
3148633692699278 ~1984
314875162975037 ~1982
314899162979837 ~1982
3148991566818398
3149261251940898 ~1983
3149387566889678 ~1984
314954362990877 ~1982
3149639566935038 ~1984
3149771566958798 ~1984
3149791566962398 ~1984
3149821188989278 ~1983
314983162996637 ~1982
3149897440985598 ~1984
3149899314989918 ~1983
3150193189011598 ~1983
3150197252015778 ~1983
315044363008877 ~1982
3150569441079678 ~1984
3150601504096178 ~1984
3150799315079918 ~1983
527
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26-01-11