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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
161827132365437 ~1979
1618271129461698
16183197800297599 ~1985
1618399679727598 ~1983
1618471679757838 ~1983
1618489388437378 ~1982
161850197110077 ~1981
16185011909831199
1618531647412418 ~1983
1618601129488098 ~1981
16187392460483299 ~1984
161874197124477 ~1981
1619087129526978 ~1981
1619227291460878 ~1982
161925797155437 ~1981
161933932386797 ~1979
1619341744896878 ~1983
1619531291515598 ~1982
1619593388702338 ~1982
1619753226765438 ~1982
161986197191677 ~1981
1619899161989918 ~1981
1619987388796898 ~1982
162004197202477 ~1981
162007132401437 ~1979
Exp. Prime Factor Digits Year
1620331162033118 ~1981
1620379162037918 ~1981
16204496222524179 ~1985
1620467129637378 ~1981
162055132411037 ~1980
1620677129654178 ~1981
1620739388977378 ~1982
162074332414877 ~1980
162101932420397 ~1980
162107932421597 ~1980
1621127291802878 ~1982
1621439129715138 ~1981
1621471162147118 ~1981
162161932432397 ~1980
16217711070368879 ~1983
16219931654432879 ~1984
1622009389282178 ~1982
1622143259542898 ~1982
1622149356872798 ~1982
16222971265391679 ~1983
1622377259580338 ~1982
1622473746337598 ~1983
1622549227156878 ~1982
1622591129807298 ~1981
16225975841349219 ~1985
Exp. Prime Factor Digits Year
1622609129808738 ~1981
162271132454237 ~1980
1622977746569438 ~1983
1622981129838498 ~1981
162305932461197 ~1980
162307132461437 ~1980
1623161129852898 ~1981
162320332464077 ~1980
162326332465277 ~1980
1623403259744498 ~1982
16234675097686399 ~1985
1623553389652738 ~1982
162359932471997 ~1980
1623701487110318 ~1982
162373397423997 ~1981
1623733259797298
1623763259802098 ~1982
162415132483037 ~1980
1624159162415918 ~1981
1624213649685218 ~1983
162424197454477 ~1981
1624331129946498 ~1981
1624607422397838 ~1982
1624661129972898 ~1981
1624691422419678 ~1982
Exp. Prime Factor Digits Year
16246911462221919
162491397494797 ~1981
162517132503437 ~1980
1625201487560318 ~1982
1625287390068898 ~1982
1625321487596318 ~1982
162533932506797 ~1980
1625417227558398 ~1982
1625419552642478 ~1983
1625497260079538 ~1982
162569932513997 ~1980
1625707552740398 ~1983
16257491430659139 ~1984
162575932515197 ~1980
162583132516637 ~1980
1625867390208098 ~1982
1625909130072738 ~1981
1625927130074178 ~1981
1626017227642398 ~1982
1626127390270498 ~1982
162617397570397 ~1981
1626211683008638 ~1983
1626227130098178 ~1981
16262393935498399 ~1985
162626332525277 ~1980
344
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26-03-15