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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
243215948643197 ~1981
24323871167545779 ~1984
243254348650877 ~1981
2432587761399731110 ~1989
2432657145959438 ~1982
2432791243279118 ~1983
243299948659997 ~1981
2433089340632478 ~1983
243325148665037 ~1981
2433251194660098
24332532725243379 ~1985
2433293145997598 ~1982
2433467584032098 ~1983
2433493146009598 ~1982
243365948673197 ~1981
2433659194692738
243380348676077 ~1981
2433803584112738
24339013066715279 ~1985
24340012677401119 ~1985
2434031632848078 ~1984
2434037924934078 ~1984
2434123973649218 ~1984
2434277146056638 ~1982
2434501146070078 ~1982
Exp. Prime Factor Digits Year
243458348691677 ~1981
24345891947671219 ~1985
2434681389548978 ~1983
2434721146083278 ~1982
243473948694797 ~1981
2434841194787298 ~1982
243493148698637 ~1981
2434963827887438 ~1984
24350511022721439 ~1984
243518348703677 ~1981
2435281535761838 ~1983
243529148705837 ~1981
24352911753409539
2435527584526498 ~1983
24355271607447839
2435633146137998 ~1982
2435789341010478 ~1983
243583148716637 ~1981
2435897341025598 ~1983
2435903584616738 ~1983
2436061535933438 ~1983
2436121146167278 ~1982
2436341146180478 ~1982
2436677341134798 ~1983
2436893584854338 ~1983
Exp. Prime Factor Digits Year
2436901146214078 ~1982
2436977341176798 ~1983
243719948743997 ~1981
243722348744477 ~1981
243727148745437 ~1981
2437271194981698
243734348746877 ~1981
243755948751197 ~1981
2437559195004738
2437777146266638 ~1982
2437777585066498
2438077146284638 ~1982
2438077390092338
2438153146289198 ~1982
2438173146290398 ~1982
2438309341363278 ~1983
243839948767997 ~1981
2438413146304798 ~1982
243859148771837 ~1981
24385911755785539
243860348772077 ~1981
2438693341417038 ~1983
2438819195105538 ~1982
2438893731667918 ~1984
2438927195114178 ~1982
Exp. Prime Factor Digits Year
2439013146340798 ~1982
2439037146342238 ~1982
2439097146345838 ~1982
243926348785277 ~1981
2439319243931918 ~1983
2439389195151138 ~1982
2439427439096878 ~1983
2439571439122798 ~1983
2439719439149438 ~1983
243979148795837 ~1981
243980348796077 ~1981
2439919829572478 ~1984
244004348800877 ~1981
244007948801597 ~1981
2440253146415198 ~1982
2440327244032718 ~1983
244043948808797 ~1981
2441111195288898 ~1982
2441267585904098 ~1983
2441293390606898 ~1983
244136348827277 ~1981
24414371709005919 ~1985
244145948829197 ~1981
244163948832797 ~1981
2441641146498478 ~1982
436
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25-06-01