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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
31295471625909438 ~1989
312955312503642499 ~1991
312995992503967939 ~1991
31299899625997998 ~1989
313001771878010639 ~1991
31300583626011678 ~1989
31300679626013598 ~1989
31300751626015038 ~1989
313007771878046639 ~1991
313011412504091299 ~1991
31301279626025598 ~1989
31301579626031598 ~1989
31302539626050798 ~1989
31302779626055598 ~1989
31302923626058478 ~1989
313037931878227599 ~1991
313044011878264079 ~1991
31305023626100478 ~1989
31306259626125198 ~1989
31306391626127838 ~1989
313065077513561699 ~1992
31306883626137678 ~1989
313077675009242739 ~1992
31308191626163838 ~1989
31308839626176798 ~1989
Exponent Prime Factor Digits Year
313091931878551599 ~1991
313093875009501939 ~1992
313095015009520179 ~1992
313108935009742899 ~1992
31311011626220238 ~1989
31311143281800287110 ~1994
31312679626253598 ~1989
31313291626265838 ~1989
31313351626267038 ~1989
31314131626282638 ~1989
31314911626298238 ~1989
31315463626309278 ~1989
31315703626314078 ~1989
31316039626320798 ~1989
31316111626322238 ~1989
313164131878984799 ~1991
31316423626328478 ~1989
31316459626329198 ~1989
313176172505409379 ~1991
313181272505450179 ~1991
313181872505454979 ~1991
31319903626398078 ~1989
31320011626400238 ~1989
31320539626410798 ~1989
313209731879258399 ~1991
Exponent Prime Factor Digits Year
31321571626431438 ~1989
31321583626431678 ~1989
31322519626450398 ~1989
31322939626458798 ~1989
313234912505879299 ~1991
31323731626474638 ~1989
31323923626478478 ~1989
31324439626488798 ~1989
313252993132529919 ~1991
31325831626516638 ~1989
313263131879578799 ~1991
313278371879670239 ~1991
31328039626560798 ~1989
313281131879686799 ~1991
313281913132819119 ~1991
313289337518943939 ~1992
313290371879742239 ~1991
31329911626598238 ~1989
31330511626610238 ~1989
31330679626613598 ~1989
31331843626636878 ~1989
31331999626639998 ~1989
313345811880074879 ~1991
31334903626698078 ~1989
31335191626703838 ~1989
Exponent Prime Factor Digits Year
31335659626713198 ~1989
31335803626716078 ~1989
313361811880170879 ~1991
313362731880176399 ~1991
31336919626738398 ~1989
31337291626745838 ~1989
31337651626753038 ~1989
31337711626754238 ~1989
31338071626761438 ~1989
31338311626766238 ~1989
31339463626789278 ~1989
31339631626792638 ~1989
31340423626808478 ~1989
31341071626821438 ~1989
313411731880470399 ~1991
31341371626827438 ~1989
31341731626834638 ~1989
31342043626840878 ~1989
31342319626846398 ~1989
313426033134260319 ~1991
313427331880563999 ~1991
31344431626888638 ~1989
313445535015128499 ~1992
31344671626893438 ~1989
31345439626908798 ~1989
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24-10-27