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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
5799179115983598 ~1984
5799191115983838 ~1984
5799203115984078 ~1984
5799257811895998 ~1986
5799583579958318 ~1985
57997931391950339 ~1986
5799803115996078 ~1984
5799851115997038 ~1984
5799961347997678 ~1985
5800019464001538 ~1985
5800079116001598 ~1984
5800559116011198 ~1984
5800559464044738
5800573928091698 ~1986
5800889464071138 ~1985
58014071044253279 ~1986
5801513348090798 ~1985
5801921348115278 ~1985
5801977348118638 ~1985
5802107464168578 ~1985
5802149464171938 ~1985
5802323116046478 ~1984
5802539116050798 ~1984
58027031972919039 ~1987
5802851116057038 ~1984
Exp. Prime Factor Digits Year
58029472785414579 ~1987
5803013348180798 ~1985
5803079116061598 ~1984
5803163116063278 ~1984
5803879580387918 ~1986
5803991116079838 ~1984
5804041348242478 ~1985
5804087464326978 ~1985
5804159116083198 ~1984
5804207464336578 ~1985
5804297812601598 ~1986
5804423116088478 ~1984
5804483116089678 ~1984
5804651116093038 ~1984
5804663116093278 ~1984
5804783116095678 ~1984
5804797167178153710 ~1989
5804971580497118 ~1986
5805251464420098 ~1985
5805343580534318 ~1986
5805419116108398 ~1984
5805439580543918 ~1986
5805479116109598 ~1984
5805977348358638 ~1985
5806033348361998 ~1985
Exp. Prime Factor Digits Year
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
5808059116161198 ~1984
5808083116161678 ~1984
58081571393957699 ~1986
5808227464658178 ~1985
5808287464662978 ~1985
5808697348521838 ~1985
5808701464696098 ~1985
5808899116177998 ~1984
5808989464719138 ~1985
5809093348545598 ~1985
5809103116182078 ~1984
5809109464728738 ~1985
Exp. Prime Factor Digits Year
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
5811419464913538
58115211743456319 ~1987
5811527464922178 ~1985
58115291278536399 ~1986
58117272789628979 ~1987
5811731116234638 ~1984
5811959116239198 ~1984
5812259116245198 ~1984
5812343116246878 ~1984
58123611743708319 ~1987
5812397464991778 ~1985
5812403116248078 ~1984
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25-04-13