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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
30812974633081297463111 ~2007
3081333191616266638310 ~2005
3081370091616274018310 ~2005
3081412319616282463910 ~2005
30815326273081532627111 ~2007
3081735659616347131910 ~2005
308174934754855138376712 ~2010
30817815294314494140711 ~2007
3081878483616375696710 ~2005
30819409211849164552711 ~2006
30820681633082068163111 ~2007
3082370471616474094310 ~2005
30823715593082371559111 ~2007
30823764971849425898311 ~2006
30826881074932300971311 ~2007
30826965011849617900711 ~2006
3082727423616545484710 ~2005
30828459195549122654311 ~2007
3082856291616571258310 ~2005
30828733012466298640911 ~2007
30829005292466320423311 ~2007
3083027483616605496710 ~2005
30830473492466437879311 ~2007
3083081363616616272710 ~2005
3083226851616645370310 ~2005
Exponent Prime Factor Digits Year
3083269919616653983910 ~2005
3083291999616658399910 ~2005
308351196747486084291912 ~2010
30836975771850218546311 ~2006
30838310411850298624711 ~2006
30838874272467109941711 ~2007
3083964419616792883910 ~2005
3083987519616797503910 ~2005
3084035963616807192710 ~2005
3084353423616870684710 ~2005
30846426011850785560711 ~2006
30846449931850786995911 ~2006
3084680363616936072710 ~2005
3084722051616944410310 ~2005
3084748739616949747910 ~2005
3084748871616949774310 ~2005
30847807331850868439911 ~2006
3084886751616977350310 ~2005
3084888923616977784710 ~2005
3085056323617011264710 ~2005
30850807731851048463911 ~2006
3085088939617017787910 ~2005
3085098251617019650310 ~2005
3085126703617025340710 ~2005
3085369811617073962310 ~2005
Exponent Prime Factor Digits Year
30853869793085386979111 ~2007
3085491131617098226310 ~2005
3085510679617102135910 ~2005
3085515551617103110310 ~2005
30855478131851328687911 ~2006
3085685111617137022310 ~2005
3085711631617142326310 ~2005
3085712411617142482310 ~2005
30857701971851462118311 ~2006
3085910543617182108710 ~2005
3086087831617217566310 ~2005
3086298203617259640710 ~2005
3086358503617271700710 ~2005
30863616131851816967911 ~2006
3086425931617285186310 ~2005
30864428331851865699911 ~2006
3086475323617295064710 ~2005
3086504303617300860710 ~2005
3086579339617315867910 ~2005
30866866931852012015911 ~2006
3086696663617339332710 ~2005
30867323531852039411911 ~2006
30868147611852088856711 ~2006
30868745414938999265711 ~2007
30869284134321699778311 ~2007
Exponent Prime Factor Digits Year
3086965319617393063910 ~2005
3087097619617419523910 ~2005
3087255779617451155910 ~2005
3087266783617453356710 ~2005
3087313319617462663910 ~2005
3087351383617470276710 ~2005
3087404759617480951910 ~2005
3087466751617493350310 ~2005
30874898092469991847311 ~2007
3087585779617517155910 ~2005
30876673513087667351111 ~2007
3087780599617556119910 ~2005
3087795251617559050310 ~2005
30878978512470318280911 ~2007
3087933059617586611910 ~2005
3087946583617589316710 ~2005
3087984491617596898310 ~2005
3087985031617597006310 ~2005
3088214663617642932710 ~2005
30883785971853027158311 ~2006
3088445603617689120710 ~2005
3088446239617689247910 ~2005
3088459163617691832710 ~2005
30884946977412387272911 ~2008
30885532612470842608911 ~2007
4360
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26-03-15