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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
57929591042732639 ~1986
57929591969606079
5793503115870078 ~1984
5793523579352318 ~1986
57935471042838479 ~1986
5793611463488898 ~1985
5793761463500898 ~1985
5793971115879438 ~1984
57940018691001519 ~1988
5794003579400318 ~1986
5794391115887838 ~1984
5794417347665038 ~1985
5794423579442318 ~1986
5795081347704878 ~1985
5795197927231538 ~1986
5795213347712798 ~1985
5796191463695298 ~1985
5796313347778798 ~1985
5796367579636718 ~1986
5796517347791038 ~1985
5796551115931038 ~1984
5796599115931998 ~1984
5796611115932238 ~1984
5796863115937278 ~1984
5796913347814798 ~1985
Exp. Prime Factor Digits Year
5797019115940398 ~1984
5797159579715918 ~1986
5797199115943998 ~1984
5797283115945678 ~1984
5797439115948798 ~1984
57975371391408899 ~1986
5797553347853198 ~1985
5797559115951198 ~1984
5797619115952398 ~1984
5797763115955278 ~1984
5798087463846978 ~1985
5798183115963678 ~1984
5798281347896878 ~1985
5798291115965838 ~1984
5798459115969198 ~1984
5798459463876738
57985031391640739 ~1986
5798539579853918 ~1986
5798711115974238 ~1984
5798761347925678 ~1985
5798939115978798 ~1984
5799119115982398 ~1984
5799179115983598 ~1984
5799191115983838 ~1984
5799203115984078 ~1984
Exp. Prime Factor Digits Year
5799257811895998 ~1986
5799583579958318 ~1986
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
58029472785414579 ~1987
5803013348180798 ~1985
5803079116061598 ~1984
Exp. Prime Factor Digits Year
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
5806043116120878 ~1984
5806159190442015310 ~1989
5806259116125198 ~1984
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25-07-08