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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
296521159304237 ~1982
296533159306637 ~1982
296537959307597 ~1982
2965483296548318 ~1983
2965483711715938
29654992372399219 ~1985
2966507237320578 ~1983
2966617177997038 ~1983
296665159333037 ~1982
2966657237332578 ~1983
296675959335197 ~1982
2966807237344578 ~1983
296681959336397 ~1982
2966893178013598 ~1983
2966987771416638 ~1984
296711959342397 ~1982
2967187474749938 ~1984
2967199534095838 ~1984
296720359344077 ~1982
29673371186934819 ~1985
2967343296734318 ~1983
2967343474774898
296749159349837 ~1982
2967509712202178 ~1984
2967551534159198 ~1984
Exp. Prime Factor Digits Year
2967647237411778 ~1983
2967689237415138 ~1983
2967737237418978 ~1983
2967751296775118 ~1983
296798359359677 ~1982
2968039534247038 ~1984
29680391721462639
2968201653004238 ~1984
2968291296829118 ~1983
2968453474952498 ~1984
29685311721747999 ~1985
296863159372637 ~1982
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
Exp. Prime Factor Digits Year
2969767296976718 ~1983
2969773178186398 ~1983
2969777178186638 ~1983
296990359398077 ~1982
2969933415790638 ~1984
2970031475204978 ~1984
297017959403597 ~1982
2970217712852098 ~1984
297023959404797 ~1982
2970277178216638 ~1983
2970293178217598 ~1983
2970299237623938 ~1983
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
Exp. Prime Factor Digits Year
2972257713341698 ~1984
297227959445597 ~1982
2972287535011678 ~1984
297235159447037 ~1982
2972429416140078 ~1984
2972483951194578 ~1985
2972491475598578 ~1984
2972551297255118 ~1983
297263959452797 ~1982
2972887535119678 ~1984
297302359460477 ~1982
297305959461197 ~1982
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
513
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26-05-10