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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
3085510679617102135910 ~2005
3085515551617103110310 ~2005
3085528559617105711910 ~2005
30855478131851328687911 ~2006
3085685111617137022310 ~2005
3085711631617142326310 ~2005
3085712411617142482310 ~2005
3085758239617151647910 ~2005
30857701971851462118311 ~2006
3085910543617182108710 ~2005
3086087831617217566310 ~2005
3086298203617259640710 ~2005
3086358503617271700710 ~2005
30863616131851816967911 ~2006
3086414819617282963910 ~2005
3086425931617285186310 ~2005
30864428331851865699911 ~2006
3086475323617295064710 ~2005
3086504303617300860710 ~2005
3086579339617315867910 ~2005
30866866931852012015911 ~2006
3086696663617339332710 ~2005
30867323531852039411911 ~2006
30868147611852088856711 ~2006
30868745414938999265711 ~2007
Exponent Prime Factor Digits Year
30869284134321699778311 ~2007
3086965319617393063910 ~2005
3087097619617419523910 ~2005
3087255779617451155910 ~2005
3087266783617453356710 ~2005
3087313319617462663910 ~2005
3087351383617470276710 ~2005
3087404759617480951910 ~2005
3087466751617493350310 ~2005
3087585779617517155910 ~2005
30876673513087667351111 ~2007
3087780599617556119910 ~2005
3087795251617559050310 ~2005
30878978512470318280911 ~2007
3087933059617586611910 ~2005
3087946583617589316710 ~2005
3087985031617597006310 ~2005
3088214663617642932710 ~2005
30883785971853027158311 ~2006
3088445603617689120710 ~2005
3088446239617689247910 ~2005
3088459163617691832710 ~2005
30884946977412387272911 ~2008
30885532612470842608911 ~2007
30885801073088580107111 ~2007
Exponent Prime Factor Digits Year
3088678811617735762310 ~2005
30887563438030766491911 ~2008
30889290899884573084911 ~2008
3088968191617793638310 ~2005
30890210531853412631911 ~2006
3089125379617825075910 ~2005
3089127971617825594310 ~2005
30892233171853533990311 ~2006
3089302379617860475910 ~2005
3089317019617863403910 ~2005
3089326391617865278310 ~2005
308944543114829338068912 ~2008
30894745611853684736711 ~2006
3089555039617911007910 ~2005
3089616899617923379910 ~2005
30896383731853783023911 ~2006
3089730779617946155910 ~2005
30898296539887454889711 ~2008
3090056999618011399910 ~2005
3090144611618028922310 ~2005
3090282983618056596710 ~2005
3090289259618057851910 ~2005
3090377831618075566310 ~2005
3090488003618097600710 ~2005
3090616103618123220710 ~2005
Exponent Prime Factor Digits Year
30906537193090653719111 ~2007
3090808823618161764710 ~2005
3090866171618173234310 ~2005
3090927263618185452710 ~2005
30909813478036551502311 ~2008
3091243223618248644710 ~2005
3091333523618266704710 ~2005
30913830592473106447311 ~2007
30914780419274434123111 ~2008
30914871011854892260711 ~2006
3091631111618326222310 ~2005
3091637291618327458310 ~2005
3091770491618354098310 ~2005
3091921691618384338310 ~2005
3091929419618385883910 ~2005
3091945019618389003910 ~2005
3091961303618392260710 ~2005
30919833433091983343111 ~2007
3092008511618401702310 ~2005
3092117771618423554310 ~2005
3092322659618464531910 ~2005
3092351291618470258310 ~2005
30925431971855525918311 ~2006
3092596211618519242310 ~2005
3092598623618519724710 ~2005
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25-04-13