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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
4864274999728549999 ~1999
4864283639728567279 ~1999
4864313039728626079 ~1999
4864540799729081599 ~1999
4864768439729536879 ~1999
4864858091167565941711 ~2001
4864967999729935999 ~1999
4865049119730098239 ~1999
4865088599730177199 ~1999
4865167919730335839 ~1999
4865187239730374479 ~1999
4865247119730494239 ~1999
4865652839731305679 ~1999
4865660519731321039 ~1999
486599797291959878310 ~2000
4866014999732029999 ~1999
486635141291981084710 ~2000
486654797291992878310 ~2000
4866575519733151039 ~1999
486658937291995362310 ~2000
4866637319733274639 ~1999
4866859439733718879 ~1999
4866887999733775999 ~1999
4867002119734004239 ~1999
4867025771460107731111 ~2002
Exponent Prime Factor Digits Year
486706817389365453710 ~2000
4867072199734144399 ~1999
4867101119734202239 ~1999
4867236839734473679 ~1999
486728867389383093710 ~2000
486730661389384528910 ~2000
4867345439734690879 ~1999
4867590239735180479 ~1999
486759797292055878310 ~2000
4867630199735260399 ~1999
4867873319735746639 ~1999
4867886999735773999 ~1999
4868030999736061999 ~1999
4868034599736069199 ~1999
486805057292083034310 ~2000
4868263919736527839 ~1999
4868306519736613039 ~1999
4868557799737115599 ~1999
4868682239737364479 ~1999
4868764199737528399 ~1999
4868782799737565599 ~1999
4868829719737659439 ~1999
486892817292135690310 ~2000
4868962336913926508711 ~2003
4868968439737936879 ~1999
Exponent Prime Factor Digits Year
4869051839738103679 ~1999
486938399389550719310 ~2000
4869418799738837599 ~1999
486945913292167547910 ~2000
4869464519738929039 ~1999
4869530399739060799 ~1999
486955961292173576710 ~2000
4869695039739390079 ~1999
4869754799739509599 ~1999
4869776639739553279 ~1999
486980009681772012710 ~2001
4869877199739754399 ~1999
4870015199740030399 ~1999
4870084919740169839 ~1999
4870174931168841983311 ~2001
4870235039740470079 ~1999
487031291389625032910 ~2000
487039387876670896710 ~2001
487056113292233667910 ~2000
487059173292235503910 ~2000
4870608839741217679 ~1999
4870725839741451679 ~1999
487090337681926471910 ~2001
4870931999741863999 ~1999
487113797389691037710 ~2000
Exponent Prime Factor Digits Year
4871246999742493999 ~1999
4871285639742571279 ~1999
4871520239743040479 ~1999
4871613713897290968111 ~2003
4871929919743859839 ~1999
4872019199744038399 ~1999
487219121292331472710 ~2000
487224739877004530310 ~2001
487249363487249363110 ~2001
4872518999745037999 ~1999
4872623399745246799 ~1999
4872786111266924388711 ~2002
4872935639745871279 ~1999
487296001292377600710 ~2000
4873026599746053199 ~1999
4873129799746259599 ~1999
4873197131169567311311 ~2001
4873317239746634479 ~1999
487350937292410562310 ~2000
4873537199747074399 ~1999
4873691639747383279 ~1999
4873698719747397439 ~1999
487378421292427052710 ~2000
4873795312339421748911 ~2002
487381577389905261710 ~2000
3182
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25-05-04