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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.
Exponent Prime Factor Digits Year
31284049125136196110 ~1993
31284419625688398 ~1990
31285031625700638 ~1990
31285139625702798 ~1990
31285739625714798 ~1990
31286243625724878 ~1990
31286459625729198 ~1990
312865873128658719 ~1991
31286771625735438 ~1990
31287017118890664710 ~1993
31287719625754398 ~1990
31287983625759678 ~1990
31288403625768078 ~1990
31289123625782478 ~1990
31289543625790878 ~1990
31290023625800478 ~1990
31290071625801438 ~1990
31290719625814398 ~1990
31290839625816798 ~1990
31291943625838878 ~1990
31292039625840798 ~1990
31292171625843438 ~1990
31292279625845598 ~1990
31293239625864798 ~1990
312941893755302680111 ~1996
Exponent Prime Factor Digits Year
31294199625883998 ~1990
31294223625884478 ~1990
31294301100141763310 ~1992
31294811625896238 ~1990
31295003625900078 ~1990
31295339625906798 ~1990
31295471625909438 ~1990
312955312503642499 ~1991
31296563625931278 ~1990
312984131877904799 ~1991
31298783625975678 ~1990
31298831625976638 ~1990
31298999625979998 ~1990
31299179625983598 ~1990
312995992503967939 ~1991
31299623625992478 ~1990
31299683625993678 ~1990
31299899625997998 ~1990
313001771878010639 ~1991
31300403626008078 ~1990
31300583626011678 ~1990
31300679626013598 ~1990
31300751626015038 ~1990
313007771878046639 ~1991
31300931626018638 ~1990
Exponent Prime Factor Digits Year
313011412504091299 ~1991
31301279626025598 ~1990
31301579626031598 ~1990
31301603626032078 ~1990
31302539626050798 ~1990
31302599626051998 ~1990
313027275008436339 ~1992
31302779626055598 ~1990
31302923626058478 ~1990
313037931878227599 ~1991
313044011878264079 ~1991
31304783626095678 ~1990
31305023626100478 ~1990
31305503626110078 ~1990
31305623626112478 ~1990
31306211626124238 ~1990
31306259626125198 ~1990
31306391626127838 ~1990
313065077513561699 ~1992
31306883626137678 ~1990
313077675009242739 ~1992
31308191626163838 ~1990
31308383626167678 ~1990
31308503626170078 ~1990
31308839626176798 ~1990
Exponent Prime Factor Digits Year
31308971626179438 ~1990
313091931878551599 ~1991
313093875009501939 ~1992
313095015009520179 ~1992
313096731878580399 ~1991
31310231626204638 ~1990
31310771626215438 ~1990
313108935009742899 ~1992
31311011626220238 ~1990
31311143281800287110 ~1994
31311251626225038 ~1990
31311491626229838 ~1990
31312091626241838 ~1990
31312439626248798 ~1990
31312679626253598 ~1990
31313123626262478 ~1990
31313291626265838 ~1990
31313351626267038 ~1990
31313531626270638 ~1990
31313819626276398 ~1990
31314131626282638 ~1990
31314911626298238 ~1990
31315463626309278 ~1990
31315703626314078 ~1990
31316003626320078 ~1990
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25-05-04