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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
5804651116093038 ~1984
5804663116093278 ~1984
5804783116095678 ~1984
5804797167178153710 ~1989
5804971580497118 ~1986
5805251464420098 ~1985
5805343580534318 ~1986
5805419116108398 ~1984
5805439580543918 ~1986
5805479116109598 ~1984
5805977348358638 ~1985
5806033348361998 ~1985
5806043116120878 ~1984
5806159190442015310 ~1989
5806259116125198 ~1984
5806301348378078 ~1985
5806391464511298 ~1985
58068075574534739 ~1988
5806961348417678 ~1985
5807159116143198 ~1984
5807533348451998 ~1985
5807579116151598 ~1984
5807579464606338
5807701929232178 ~1986
5807831116156638 ~1984
Exp. Prime Factor Digits Year
5808059116161198 ~1984
5808083116161678 ~1984
58081571393957699 ~1986
5808227464658178 ~1985
5808287464662978 ~1985
5808697348521838 ~1985
5808701464696098 ~1985
5808899116177998 ~1984
5808989464719138 ~1985
5809093348545598 ~1985
5809103116182078 ~1984
5809109464728738 ~1985
5809123929459698 ~1986
5809151116183038 ~1984
5809283116185678 ~1984
5809403116188078 ~1984
5809451116189038 ~1984
5809613348576798 ~1985
5809883116197678 ~1984
5810201464816098 ~1985
5810279116205598 ~1984
5810407929665138 ~1986
5810699116213998 ~1984
5810771116215438 ~1984
5811419116228398 ~1984
Exp. Prime Factor Digits Year
5811419464913538
58115211743456319 ~1987
5811527464922178 ~1985
58115291278536399 ~1986
58117272789628979 ~1987
5811731116234638 ~1984
5811959116239198 ~1984
5812259116245198 ~1984
5812343116246878 ~1984
58123611743708319 ~1987
5812397464991778 ~1985
5812403116248078 ~1984
5812463116249278 ~1984
5812661465012898 ~1985
5812931116258638 ~1984
5812957348777438 ~1985
5812991116259838 ~1984
58130511860176339 ~1987
58133471046402479 ~1986
5813441348806478 ~1985
58135272325410819 ~1987
5813579116271598 ~1984
58140912325636419 ~1987
5814317814004398 ~1986
5814407465152578 ~1985
Exp. Prime Factor Digits Year
5814467465157378 ~1985
5814839116296798 ~1984
5814857348891438 ~1985
5814983116299678 ~1984
5815151116303038 ~1984
5815163116303278 ~1984
5815211465216898 ~1985
5815331465226498 ~1985
5815721465257698 ~1985
5815811116316238 ~1984
5816243116324878 ~1984
5816339116326798 ~1984
5816387465310978 ~1985
5816453348987198 ~1985
5816549465323938 ~1985
58166112326644419 ~1987
5816971581697118 ~1986
5817061349023678 ~1985
58170611279753439
5817347465387778 ~1985
58175415119436099 ~1988
5817653349059198 ~1985
5817907581790718 ~1986
5818073349084398 ~1985
5818277349096638 ~1985
755
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25-09-07