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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
2716448243543289648710 ~2005
2716522271543304454310 ~2005
2716600871543320174310 ~2005
2716689383543337876710 ~2005
2716723643543344728710 ~2005
2716743863543348772710 ~2005
27167720212173417616911 ~2006
27168272572173461805711 ~2006
2716885739543377147910 ~2005
2716955183543391036710 ~2005
2716992983543398596710 ~2005
2717069903543413980710 ~2005
2717089139543417827910 ~2005
2717200511543440102310 ~2005
2717302691543460538310 ~2005
2717644019543528803910 ~2005
27177389872174191189711 ~2006
2717800391543560078310 ~2005
2717879243543575848710 ~2005
2717903183543580636710 ~2005
2717916431543583286310 ~2005
2717987543543597508710 ~2005
2718023351543604670310 ~2005
2718059999543611999910 ~2005
2718090779543618155910 ~2005
Exponent Prime Factor Digits Year
27181276731630876603911 ~2006
2718165179543633035910 ~2005
2718294599543658919910 ~2005
2718506123543701224710 ~2005
2718547943543709588710 ~2005
27186235335980971772711 ~2007
27186397971631183878311 ~2006
27186444731631186683911 ~2006
2718649079543729815910 ~2005
2718664103543732820710 ~2005
271874229110874969164112 ~2008
2718759479543751895910 ~2005
271890036728820343890312 ~2009
27189089171631345350311 ~2006
2718945263543789052710 ~2005
27189467331631368039911 ~2006
2719513619543902723910 ~2005
2719880963543976192710 ~2005
271993359111423721082312 ~2008
27199626472175970117711 ~2006
2719965863543993172710 ~2005
27202519792176201583311 ~2006
27202677892176214231311 ~2006
27203312171632198730311 ~2006
2720441123544088224710 ~2005
Exponent Prime Factor Digits Year
27205832692176466615311 ~2006
2720678879544135775910 ~2005
2720773103544154620710 ~2005
27208858914897594603911 ~2007
2720984531544196906310 ~2005
2721011291544202258310 ~2005
27211204811632672288711 ~2006
2721128639544225727910 ~2005
2721132083544226416710 ~2005
27211910211632714612711 ~2006
27212873411632772404711 ~2006
2721335471544267094310 ~2005
27213429011632805740711 ~2006
2721427823544285564710 ~2005
27215320611632919236711 ~2006
27215561931632933715911 ~2006
2721560519544312103910 ~2005
2721703499544340699910 ~2005
27217523931633051435911 ~2006
27218495872177479669711 ~2006
2721877643544375528710 ~2005
27219909172177592733711 ~2006
27221841731633310503911 ~2006
2722220279544444055910 ~2005
2722226471544445294310 ~2005
Exponent Prime Factor Digits Year
27223043992177843519311 ~2006
2722334591544466918310 ~2005
2722353479544470695910 ~2005
2722463819544492763910 ~2005
27225520874900593756711 ~2007
2722567619544513523910 ~2005
2722587443544517488710 ~2005
27227076771633624606311 ~2006
2722774139544554827910 ~2005
2722862123544572424710 ~2005
2722969943544593988710 ~2005
2723038691544607738310 ~2005
27230760712178460856911 ~2006
27231967612178557408911 ~2006
2723260031544652006310 ~2005
2723524019544704803910 ~2005
2723532011544706402310 ~2005
272356190913073097163312 ~2008
27235891011634153460711 ~2006
27236507171634190430311 ~2006
2723678843544735768710 ~2005
2723771903544754380710 ~2005
2723832659544766531910 ~2005
2724081719544816343910 ~2005
272411383147944403425712 ~2009
4379
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26-05-03