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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
2116307169304578 ~1982
2116393126983598 ~1982
2116393846557218
2116481126988878 ~1982
2116523507965538 ~1983
2116601126996078 ~1982
2116717338674738 ~1983
2116757296345998 ~1982
2116813635043918 ~1983
2116817127009038 ~1982
2116901169352098 ~1982
21170391058519519 ~1984
211705142341037 ~1980
2117051381069198
2117099169367938 ~1982
2117119381081438 ~1983
2117273296418238 ~1982
211741142348237 ~1980
2117419719922478 ~1983
2117501169400098 ~1982
2117597296463598 ~1982
211766342353277 ~1980
2117671211767118 ~1982
2118113296535838 ~1982
2118119169449538 ~1982
Exp. Prime Factor Digits Year
21181631906346719 ~1984
21182091525110499 ~1984
2118283508387938 ~1983
2118299381293838 ~1983
2118349466036798 ~1983
211835942367197 ~1980
2118359169468738
21183972033661139 ~1985
2118433338949298 ~1983
211849142369837 ~1980
2118689296616478 ~1982
2118917508540098 ~1983
2118959169516738 ~1982
2119147720509998 ~1983
2119157127149438 ~1982
21192312246384879 ~1985
211925942385197 ~1980
2119267211926718 ~1982
2119379508650978 ~1983
2119597127175838 ~1982
21196271865271779 ~1984
2119651381537198 ~1983
2119681635904318 ~1983
2119717508732098 ~1983
211973942394797 ~1980
Exp. Prime Factor Digits Year
21197512713281299 ~1985
2119913296787838 ~1982
2119939381589038 ~1983
21200937632334819 ~1986
2120147169611778 ~1982
2120387169630978 ~1982
212041142408237 ~1980
2120549169643938 ~1982
2120771381738798 ~1983
212081942416397 ~1980
212087942417597 ~1980
21209571187735939 ~1984
212101142420237 ~1980
2121029169682338 ~1982
2121181848472418 ~1984
2121239381823038 ~1983
2121241127274478 ~1982
21213376745851679 ~1986
2121377127282638 ~1982
2121619212161918 ~1982
2121737127304238 ~1982
2121761127305678 ~1982
2121781127306878 ~1982
212180342436077 ~1980
2121841339494578 ~1983
Exp. Prime Factor Digits Year
2121941127316478 ~1982
2121989169759138 ~1982
2122031169762498 ~1982
2122039212203918 ~1982
2122139169771138 ~1982
2122231339556978 ~1983
2122333127339998 ~1982
2122459212245918 ~1982
2122459382042638
2122469509392578 ~1983
2122531212253118 ~1982
212261942452397 ~1980
2122697169815778 ~1982
2122741127364478 ~1982
2122859169828738 ~1982
2122937127376238 ~1982
212306342461277 ~1980
2123083339693298 ~1983
2123617339778738 ~1983
2123741127424478 ~1982
2123761467227438 ~1983
212378342475677 ~1980
2123791339806578 ~1983
212387942477597 ~1980
2123879169910338
405
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25-10-26