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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
339163167832637 ~1982
3391639339163918 ~1984
33916973730866719 ~1986
3391813203508798 ~1983
33918134070175619
339185967837197 ~1982
33919331560289199 ~1985
3391963542714098 ~1984
3392651271412098 ~1983
339272367854477 ~1982
3392867610716078 ~1984
33929993325139039 ~1986
3393197271455778 ~1983
3393329475066078 ~1984
339335967867197 ~1982
3393413203604798 ~1983
3393437203606238 ~1983
3393463339346318 ~1984
3393487339348718 ~1984
339367167873437 ~1982
339368367873677 ~1982
3393707271496578 ~1983
3393721542995378 ~1984
33938331018149919 ~1985
3393851610893198 ~1984
Exp. Prime Factor Digits Year
33938931086045779 ~1985
339403167880637 ~1982
339404367880877 ~1982
3394049814571778 ~1985
339409167881837 ~1982
33940991153993679 ~1985
33940991425521599
3394231610961598 ~1984
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
Exp. Prime Factor Digits Year
3395921203755278 ~1983
3395939611269038 ~1984
339599967919997 ~1982
3396077203764638 ~1983
3396181203770878 ~1983
3396313203778798 ~1983
3396377815130498 ~1985
3396397203783838 ~1983
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
Exp. Prime Factor Digits Year
33979074077488419 ~1986
339799167959837 ~1982
3398033475724638 ~1984
3398047611648478 ~1984
339805167961037 ~1982
339809967961997 ~1982
3398107543697138 ~1984
3398149815555778 ~1985
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
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25-05-04