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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
5890583117811678 ~1984
5890601471248098 ~1985
5890637471250978 ~1985
5890639589063918 ~1986
5890693353441598 ~1985
5890853353451198 ~1985
5890979471278338 ~1985
5891051117821038 ~1984
5891261353475678 ~1985
5891383589138318 ~1986
5891443942630898 ~1986
5891467589146718 ~1986
5891531117830638 ~1984
5891531471322498
5891663117833278 ~1984
5891849471347938 ~1985
5891971942715378 ~1986
5891983589198318 ~1986
5892371471389698 ~1985
5892443117848878 ~1984
5892521353551278 ~1985
5892721353563278 ~1985
5892791117855838 ~1984
5892989471439138 ~1985
5893403117868078 ~1984
Exp. Prime Factor Digits Year
5893411589341118 ~1986
58936971768109119 ~1987
5893879589387918 ~1986
5893997353639838 ~1985
5894039117880798 ~1984
5894177471534178 ~1985
5894177825184798
5894363117887278 ~1984
5894377353662638 ~1985
5894401353664078 ~1985
5894653353679198 ~1985
5894671589467118 ~1986
5894723117894478 ~1984
5894893353693598 ~1985
58951191886438099 ~1987
5895203117904078 ~1984
5895233825332638 ~1986
5895299117905998 ~1984
5895479117909598 ~1984
5895503117910078 ~1984
58955815659757779 ~1988
58957333773269139 ~1988
5895971117919438 ~1984
5896003943360498 ~1986
5896139117922798 ~1984
Exp. Prime Factor Digits Year
58961511061307199 ~1986
5896259117925198 ~1984
5896301353778078 ~1985
5896391117927838 ~1984
5896421353785278 ~1985
5896601353796078 ~1985
5896613825525838 ~1986
5896987943517938 ~1986
5897477471798178 ~1985
58975612241073199 ~1987
5897767589776718 ~1986
5897851589785118 ~1986
5897981353878878 ~1985
5898043589804318 ~1986
5898209825749278 ~1986
5898287471862978 ~1985
5898293353897598 ~1985
58983672005444799 ~1987
5898413353904798 ~1985
5898617353917038 ~1985
5898617825806398
5899079117981598 ~1984
5899081353944878 ~1985
5899087943853938 ~1986
5899163117983278 ~1984
Exp. Prime Factor Digits Year
5899199117983998 ~1984
5899217353953038 ~1985
5899259117985198 ~1984
5899307471944578 ~1985
5899451117989038 ~1984
5899501353970078 ~1985
5899973825996238 ~1986
5900099118001998 ~1984
5900123118002478 ~1984
5900129826018078 ~1986
5900243118004878 ~1984
5900399118007998 ~1984
5900423118008478 ~1984
5900441472035298 ~1985
59006391416153379 ~1987
5900711118014238 ~1984
59007711062138799 ~1986
5900831118016638 ~1984
5900879118017598 ~1984
5901187944189938 ~1986
5901251118025038 ~1984
5901503118030078 ~1984
59018931416454339 ~1987
59020191416484579 ~1987
5902037826285198 ~1986
797
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26-09-27