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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.
Exponent Prime Factor Digits Year
20984819419696398 ~1988
20984963419699278 ~1988
209853731259122399 ~1989
20985551419711038 ~1988
209857798814027199 ~1991
209862971259177839 ~1989
20986631419732638 ~1988
2098688321511555075112 ~1997
20986943419738878 ~1988
20987243419744878 ~1988
209876112098761119 ~1990
209884371679074979 ~1990
20988683419773678 ~1988
209891875457188639 ~1991
20989343419786878 ~1988
209896513358344179 ~1990
20989739419794798 ~1988
20989931419798638 ~1988
20990111419802238 ~1988
209902735037665539 ~1991
20990423419808478 ~1988
209909113358545779 ~1990
20991083419821678 ~1988
20991359419827198 ~1988
20991791419835838 ~1988
Exponent Prime Factor Digits Year
20992343419846878 ~1988
20992379419847598 ~1988
20992871419857438 ~1988
20993111419862238 ~1988
209931731259590399 ~1989
20993471419869438 ~1988
20993663419873278 ~1988
20993939419878798 ~1988
20994023419880478 ~1988
209940411679523299 ~1990
209941796718137299 ~1991
209942936298287919 ~1991
20994899419897998 ~1988
20994959419899198 ~1988
209958371259750239 ~1989
209960111259...6820476320e3 2003
20996099419921998 ~1988
209964611259787679 ~1989
20997419419948398 ~1988
20997491419949838 ~1988
209975171259851039 ~1989
20997659419953198 ~1988
20997731419954638 ~1988
209979371259876239 ~1989
20998223419964478 ~1988
Exponent Prime Factor Digits Year
20999171419983438 ~1988
209996235039909539 ~1991
21000191420003838 ~1988
21000251420005038 ~1988
21000599420011998 ~1988
210006011260036079 ~1989
21001559420031198 ~1988
21001703420034078 ~1988
210023571680188579 ~1990
21002651420053038 ~1988
21002711420054238 ~1988
210029572940413999 ~1990
21003659420073198 ~1988
210044478401778819 ~1991
210047991680383939 ~1990
210049992100499919 ~1990
21005111420102238 ~1988
21005219420104398 ~1988
210060171260361039 ~1989
21006071420121438 ~1988
21006119420122398 ~1988
210061191680489539
21006431420128638 ~1988
210066734621468079 ~1991
21006899420137998 ~1988
Exponent Prime Factor Digits Year
210071118402844419 ~1991
21007439420148798 ~1988
21007523420150478 ~1988
21007691420153838 ~1988
210077411260464479 ~1989
210085731260514399 ~1989
21009743420194878 ~1988
21010679420213598 ~1988
21011183420223678 ~1988
21011411420228238 ~1988
21011519420230398 ~1988
21011951420239038 ~1988
21012371420247438 ~1988
21012419420248398 ~1988
21012599420251998 ~1988
21012851420257038 ~1988
210129971260779839 ~1989
210130731260784399 ~1989
21013379420267598 ~1988
21013631420272638 ~1988
21013871420277438 ~1988
21013931420278638 ~1988
21014963420299278 ~1988
21015023420300478 ~1988
21015563420311278 ~1988
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25-10-20