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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
1112359444943618
11123892469503599 ~1983
111251922250397 ~1978
111259122251837 ~1978
1112663267039138 ~1981
1112677333803118 ~1981
1112677445070818
1112729356073298 ~1981
111289789031777 ~1980
111301122260237 ~1978
111313789050977 ~1980
111319366791597 ~1979
1113197155847598 ~1980
111323922264797 ~1978
111323989059137
1113373178139698 ~1980
1113401534432498 ~1982
111355789084577 ~1980
11135572204842879
111371366822797 ~1979
111371922274397 ~1978
111379766827837 ~1979
111386322277277 ~1978
1113887289610638 ~1981
1113961534701298 ~1982
Exp. Prime Factor Digits Year
111397122279437 ~1978
1114031356489938 ~1981
1114249245134798 ~1981
111427122285437 ~1978
1114297601720398 ~1982
1114381245163838 ~1981
1114567111456718 ~1980
11146513410832079 ~1984
111475366885197 ~1979
111480166888077 ~1979
1114811735775278 ~1982
111487366892397 ~1979
1114907891925618 ~1982
111493122298637 ~1978
1114931200687598
111493789194977 ~1980
1115011178401778 ~1980
1115029334508718 ~1981
1115099200717838 ~1981
1115227178436338 ~1980
111523766914237 ~1979
1115239646838638 ~1982
1115273602247438 ~1982
111536322307277 ~1978
1115417156158398 ~1980
Exp. Prime Factor Digits Year
111556789245377 ~1980
111558166934877 ~1979
111571122314237 ~1978
111575922315197 ~1978
1115759357042898
111584322316877 ~1978
1115857178537138 ~1980
111599366959597 ~1979
1116053156247438 ~1980
111613366967997 ~1979
1116163379495438 ~1981
1116301513498478 ~1982
111646166987677 ~1979
1116523714574738 ~1982
111667767000637 ~1979
111667789334177
1116751178680178 ~1980
1116937112587249710 ~1985
1116989156378478 ~1980
1117021513829678 ~1982
1117073268097538 ~1981
111707922341597 ~1978
1117079558539518
1117267268144098 ~1981
1117279201110238 ~1981
Exp. Prime Factor Digits Year
1117309536308338 ~1982
1117367201126078 ~1981
111746322349277 ~1978
1117477514039438 ~1982
111748189398497 ~1980
11175533754978099 ~1984
1117729268254978 ~1981
11177296505182799
111775767065437 ~1979
111779922355997 ~1978
111793367075997 ~1979
111794322358877 ~1978
1117993514276798 ~1982
111800322360077 ~1978
1118003559001518
1118023380127838 ~1981
111814789451777 ~1980
111826789461377 ~1980
111829122365837 ~1978
1118519268444578 ~1981
1118519536889138
111872322374477 ~1978
111878322375677 ~1978
1118851469917438 ~1981
111886189508897 ~1980
265
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25-09-07