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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
2568131462263598 ~1983
2568197359547598 ~1983
25682591027303619 ~1984
2568413359577838 ~1983
2568427616422498 ~1984
256843151368637 ~1981
2568469565063198 ~1984
2568481154108878 ~1982
2568523873297838 ~1984
2568557154113438 ~1982
256856351371277 ~1981
2568569616456578 ~1984
2568619256861918 ~1983
2568653359611438 ~1983
2568689770606718 ~1984
2568869359641678 ~1983
2569013154140798 ~1982
256910351382077 ~1981
25693096937134319 ~1986
256933151386637 ~1981
25693938016506179 ~1986
2569529616686978 ~1984
2569577205566178 ~1983
2569607616705698 ~1984
256969151393837 ~1981
Exp. Prime Factor Digits Year
256973951394797 ~1981
256982351396477 ~1981
2570177205614178 ~1983
2570219205617538 ~1983
257036351407277 ~1981
2570387205630978 ~1983
2570387668300638
2570401565488238 ~1984
2570671257067118 ~1983
2570677154240638 ~1982
25706991233935539 ~1984
257083151416637 ~1981
2570849359918878 ~1983
25708491851011299
2570921205673698 ~1983
25710011182660479 ~1984
2571031411364978 ~1983
257105951421197 ~1981
2571119617068578 ~1984
2571421154285278 ~1982
257167151433437 ~1981
2571733154303998 ~1982
2571871257187118 ~1983
2572001154320078 ~1982
2572079823065298 ~1984
Exp. Prime Factor Digits Year
2572153154329198 ~1982
2572231257223118 ~1983
2572307205784578 ~1983
257237951447597 ~1981
2572397205791778 ~1983
2572421771726318 ~1984
2572433823178578 ~1984
2572693154361598 ~1982
2572693565992478
257285951457197 ~1981
25729372006890879 ~1985
2572993154379598 ~1982
25730232727404399 ~1985
2573059463150638 ~1983
257309951461997 ~1981
2573237154394238 ~1982
2573261205860898 ~1983
2573261771978318
2573359617606178 ~1984
257342351468477 ~1981
257347151469437 ~1981
2573509566171998 ~1984
2573633154417998 ~1982
2573803411808498 ~1983
2573957617749698 ~1984
Exp. Prime Factor Digits Year
257405951481197 ~1981
257417951483597 ~1981
25741818649248179 ~1987
2574233154453998 ~1982
257425151485037 ~1981
2574289566343598 ~1984
257431151486237 ~1981
2574391411902578 ~1983
2574487257448718 ~1983
25746175561172739 ~1986
2574799257479918 ~1983
257483951496797 ~1981
2574853411976498 ~1983
2574889566475598 ~1984
25749471441970339 ~1985
2575093618022338 ~1984
2575187463533678 ~1983
2575193154511598 ~1982
25752311493633999 ~1985
257528351505677 ~1981
2575439618105378 ~1984
2575673154540398 ~1982
257567951513597 ~1981
257579951515997 ~1981
2575933154555998 ~1982
462
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26-01-11