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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
339437967887597 ~1982
3394411543105778 ~1984
3394411610993998
339469167893837 ~1982
3394813543170098 ~1984
3394879339487918 ~1984
3394921203695278 ~1983
3395071339507118 ~1984
339512367902477 ~1982
3395221203713278 ~1983
339527967905597 ~1982
33954772648472079 ~1986
339560367912077 ~1982
3395603814944738
3395653203739198 ~1983
3395681271654498 ~1983
3395893203753598 ~1983
3395921203755278 ~1983
3395939611269038 ~1984
339599967919997 ~1982
3396077203764638 ~1983
3396181203770878 ~1983
3396313203778798 ~1983
3396377815130498 ~1985
3396397203783838 ~1983
Exp. Prime Factor Digits Year
3396517203791038 ~1983
33965515774136719 ~1987
339667167933437 ~1982
33966971358678819 ~1985
3396703241845253710 ~1988
3396931543508978 ~1984
3396997543519538 ~1984
339713967942797 ~1982
339721167944237 ~1982
3397327339732718 ~1984
339734367946877 ~1982
3397423543587698 ~1984
3397487611547678 ~1984
3397627611572878 ~1984
3397649475670878 ~1984
339776367955277 ~1982
3397861203871678 ~1983
33979074077488419 ~1986
339799167959837 ~1982
3398033475724638 ~1984
3398047611648478 ~1984
339805167961037 ~1982
339809967961997 ~1982
3398107543697138 ~1984
3398149815555778 ~1985
Exp. Prime Factor Digits Year
3398177475744798 ~1984
3398327271866178 ~1983
3398327611698878
339872367974477 ~1982
3398741203924478 ~1983
3398873203932398 ~1983
3399059815774178 ~1985
339908367981677 ~1982
3399169747817198 ~1985
33992812107554239 ~1986
339935967987197 ~1982
339956367991277 ~1982
3399637203978238 ~1983
3399707271976578 ~1983
339989967997997 ~1982
3399919339991918 ~1984
33999191155972479
3399959611992638 ~1984
3400097272007778 ~1983
3400213544034098 ~1984
3400303544048498 ~1984
340070368014077 ~1982
3400897204053838 ~1983
3400919272073538 ~1983
3401107340110718 ~1984
Exp. Prime Factor Digits Year
3401221544195378 ~1984
3401383340138318 ~1984
3401597272127778 ~1983
340160368032077 ~1982
3401611340161118 ~1984
340166368033277 ~1982
3401731544276978 ~1984
340177168035437 ~1982
3402053204123198 ~1983
340238368047677 ~1982
3402517204151038 ~1983
3402523340252318 ~1984
3402673544427698 ~1984
3402677204160638 ~1983
340280368056077 ~1982
34028991701449519 ~1985
3402953476413438 ~1984
3402967544474738 ~1984
3402979340297918 ~1984
3402991544478578 ~1984
3403073204184398 ~1983
340313968062797 ~1982
3403423544547698 ~1984
3403487816836898 ~1985
340361968072397 ~1982
536
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25-04-13