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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
6706033402361998 ~1985
67060571072969139 ~1987
6706079134121598 ~1984
6706079536486338
6706121402367278 ~1985
6706223134124478 ~1984
6706339155587064910 ~1989
6706573402394398 ~1985
6706613402396798 ~1985
6706751134135038 ~1984
6707177939004798 ~1986
6707243134144878 ~1984
6707279536582338 ~1986
6707339134146798 ~1984
6707447114026599110 ~1989
6707539670753918 ~1986
67075991207367839 ~1987
67078192817283999 ~1988
6707993939119038 ~1986
6708503134170078 ~1984
6708517402511038 ~1985
6708631670863118 ~1986
6708661245536992710 ~1990
6708791134175838 ~1984
6708959134179198 ~1984
Exp. Prime Factor Digits Year
6708983134179678 ~1984
6709091134181838 ~1984
6709201402552078 ~1985
6709751134195038 ~1984
6709979536798338 ~1986
6710203671020318 ~1986
6710243134204878 ~1984
67103173220952179 ~1988
6710371671037118 ~1986
6710377402622638 ~1985
6710471134209438 ~1984
6710617402637038 ~1985
6710657402639438 ~1985
6710783134215678 ~1984
6711011134220238 ~1984
6711017536881378 ~1986
6711137402668238 ~1985
6711157402669438 ~1985
6711437536914978 ~1986
6711641402698478 ~1985
6711643671164318 ~1986
6711707536936578 ~1986
6711983134239678 ~1984
6712019134240398 ~1984
67123671610968099 ~1987
Exp. Prime Factor Digits Year
6712451134249038 ~1984
6712697402761838 ~1985
6712921402775278 ~1985
6712933402775998 ~1985
6713017402781038 ~1985
67130391611129379 ~1987
6713717402823038 ~1985
6713921402835278 ~1985
6713921537113698
6714053402843198 ~1985
6714161402849678 ~1985
6714193402851598 ~1985
6714479134289598 ~1984
6714637402878238 ~1985
6714671134293438 ~1984
6714899134297998 ~1984
67150012551700399 ~1987
6715141402908478 ~1985
6715223134304478 ~1984
67152531611660739 ~1987
6715481402928878 ~1985
6715679134313598 ~1984
6716117402967038 ~1985
6716461402987678 ~1985
67169932149437779 ~1987
Exp. Prime Factor Digits Year
6717083134341678 ~1984
6717101403026078 ~1985
6717131537370498 ~1986
6717413403044798 ~1985
67175771612218499 ~1987
67177694299372179 ~1988
6718163134363278 ~1984
6718223134364478 ~1984
6718259134365198 ~1984
6718331134366638 ~1984
6718337537466978 ~1986
6718499134369998 ~1984
6719017403141038 ~1985
67190774703353919 ~1988
6719159134383198 ~1984
6719183134383678 ~1984
6719501403170078 ~1985
6720299134405998 ~1984
6720361403221678 ~1985
6720377403222638 ~1985
6720683134413678 ~1984
6720911134418238 ~1984
67210932688437219 ~1987
6721153403269198 ~1985
6721181403270878 ~1985
817
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25-07-08