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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
2968907237512578 ~1983
296900359380077 ~1982
29690172078311919 ~1985
2969177415684798 ~1984
2969251296925118 ~1983
296942359388477 ~1982
29694671009618799 ~1985
2969497178169838 ~1983
29695038136438239 ~1987
2969573178174398 ~1983
2969591237567298 ~1983
296965159393037 ~1982
296972359394477 ~1982
2969767296976718 ~1983
2969773178186398 ~1983
2969777178186638 ~1983
296990359398077 ~1982
2969933415790638 ~1984
2970031475204978 ~1984
297017959403597 ~1982
2970217712852098 ~1984
297023959404797 ~1982
2970277178216638 ~1983
2970293178217598 ~1983
2970299237623938 ~1983
Exp. Prime Factor Digits Year
2970329237626338 ~1983
297037159407437 ~1982
29705211128797999 ~1985
2970857237668578 ~1983
297092359418477 ~1982
297110359422077 ~1982
2971123713069538 ~1984
2971169237693538 ~1983
297127159425437 ~1982
2971337237706978 ~1983
297151159430237 ~1982
2972041178322478 ~1983
2972071297207118 ~1983
2972257713341698 ~1984
297227959445597 ~1982
2972287535011678 ~1984
297235159447037 ~1982
2972429416140078 ~1984
2972483951194578 ~1985
2972491475598578 ~1984
2972551297255118 ~1983
297263959452797 ~1982
2972887535119678 ~1984
297302359460477 ~1982
297305959461197 ~1982
Exp. Prime Factor Digits Year
2973059237844738
2973391297339118 ~1983
297353959470797 ~1982
297361159472237 ~1982
2973673178420398 ~1983
29738571605882799 ~1985
29739132854956499 ~1986
2973941178436478 ~1983
2973953416353438 ~1984
2973961475833778 ~1984
29741597435397519 ~1987
2974289114212697710 ~1987
2974409237952738 ~1983
2974511237960898 ~1983
297461959492397 ~1982
2974619713908578
2974627297462718 ~1983
2974627713910498
2974757416465998 ~1984
297479959495997 ~1982
2974817416474398 ~1984
2974967773491438 ~1984
297509959501997 ~1982
2975123952039378 ~1985
2975131476020978 ~1984
Exp. Prime Factor Digits Year
2975171238013698 ~1983
297524359504877 ~1982
297527959505597 ~1982
2975341178520478 ~1983
2975393416555038 ~1984
2975501238040098 ~1983
2975593476094898 ~1984
29756893035202799 ~1986
2975771773700478 ~1984
2975813416613838 ~1984
29760535416416479 ~1986
297620359524077 ~1982
29762216233...201151895932 1997
2976247535724478 ~1984
2976601178596078 ~1983
2976691476270578 ~1984
297673159534637 ~1982
2976797178607838 ~1983
297697159539437 ~1982
2977003476320498 ~1984
2977021178621278 ~1983
2977067238165378 ~1983
297715159543037 ~1982
297725959545197 ~1982
2977409238192738 ~1983
516
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26-07-05