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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
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
210047991680383939 ~1990
210049992100499919 ~1990
21005111420102238 ~1988
21005219420104398 ~1988
210060171260361039 ~1989
21006071420121438 ~1988
21006119420122398 ~1988
210061191680489539
21006431420128638 ~1988
210066734621468079 ~1991
21006899420137998 ~1988
210071118402844419 ~1991
Exponent Prime Factor Digits Year
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
21015803420316078 ~1988
Exponent Prime Factor Digits Year
210160275043846499 ~1991
210164691681317539 ~1990
21016739420334798 ~1988
21017063420341278 ~1988
21017099420341998 ~1988
210173271681386179 ~1990
21017351420347038 ~1988
210180797146146879 ~1991
21018323420366478 ~1988
210188211261129279 ~1989
21018839420376798 ~1988
21019151420383038 ~1988
21019283420385678 ~1988
21019331420386638 ~1988
21019571420391438 ~1988
21020231420404638 ~1988
21020339420406798 ~1988
210203391681627139
21020591420411838 ~1988
21020819420416398 ~1988
21021083420421678 ~1988
210211811261270879 ~1989
21021263420425278 ~1988
21021323420426478 ~1988
21021359420427198 ~1988
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25-07-08