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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
1754171456084478 ~1982
175441135088237 ~1980
175453135090637 ~1980
1754531140362498
1754561105273678 ~1981
1754591982570978 ~1983
1754699140375938 ~1981
175484335096877 ~1980
1755059140404738 ~1981
175517935103597 ~1980
17551811790284639 ~1984
1755319702127618 ~1983
1755487702194818 ~1983
175550335110077 ~1980
175556335111277 ~1980
1755569245779678 ~1982
1755643175564318 ~1981
1755799316043838 ~1982
1755823175582318 ~1981
175583935116797 ~1980
1756187316113678 ~1982
1756199316115838 ~1982
17562311440109439 ~1984
175625935125197 ~1980
1756259316126638
Exp. Prime Factor Digits Year
1756319421516578 ~1982
1756409667435438 ~1983
175651135130237 ~1980
175652335130477 ~1980
1756523421565538
1756541105392478 ~1981
1756591281054578 ~1982
1756691562141138 ~1983
1756927281108338 ~1982
1757143175714318 ~1981
1757153527145918 ~1983
1757339140587138 ~1981
1757449702979618 ~1983
1757527703010818 ~1983
175753135150637 ~1980
1757597105455838 ~1981
1757663984291298 ~1983
1757801140624098 ~1981
1757827281252338 ~1982
1757911281265778 ~1982
1757923175792318 ~1981
1757971175797118 ~1981
1757993105479598 ~1981
1758101105486078 ~1981
1758187597783598 ~1983
Exp. Prime Factor Digits Year
1758283703313218 ~1983
17585031160611999 ~1983
175862335172477 ~1980
1758641105518478 ~1981
17586411090357439
1758719316569438 ~1982
175889935177997 ~1980
175898335179677 ~1980
1759049140723938 ~1981
1759159175915918 ~1981
175922335184477 ~1980
1759271140741698 ~1981
175937935187597 ~1980
1759399175939918 ~1981
1759607140768578 ~1981
1759627316732878 ~1982
175964335192877 ~1980
175999135199837 ~1980
1760069140805538 ~1981
17600813379355539 ~1985
1760113105606798 ~1981
17602611267387939 ~1984
1760309246443278 ~1982
1760371176037118 ~1981
17603891126648979 ~1983
Exp. Prime Factor Digits Year
1760449387298798 ~1982
1760467704186818 ~1983
1760599704239618 ~1983
1760641281702578 ~1982
1760701281712178 ~1982
1760779176077918 ~1981
1761299140903938 ~1981
1761307281809138 ~1982
1761371317046798 ~1982
176167135233437 ~1980
17617631162763599 ~1983
1761853387607678 ~1982
176191135238237 ~1980
1761941105716478 ~1981
1761973105718398 ~1981
17620873982316639 ~1985
1762141118063447110 ~1986
1762213105732798 ~1981
1762217140977378 ~1981
1762217246710398
1762247140979778 ~1981
176245135249037 ~1980
17624711268979139 ~1984
176249935249997 ~1980
1762499140999938
352
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25-05-04