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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
2835202031567040406310 ~2005
2835220331567044066310 ~2005
2835222083567044416710 ~2005
28352896796804695229711 ~2007
28354322331701259339911 ~2006
28354637232835463723111 ~2007
2835473471567094694310 ~2005
2835487883567097576710 ~2005
2835587543567117508710 ~2005
2835600623567120124710 ~2005
28356373611701382416711 ~2006
28356804592268544367311 ~2006
2835769523567153904710 ~2005
28358413632835841363111 ~2007
2835999671567199934310 ~2005
28361246336806699119311 ~2007
28363057334538089172911 ~2007
2836326491567265298310 ~2005
2836327139567265427910 ~2005
2836370111567274022310 ~2005
2836389431567277886310 ~2005
2836391483567278296710 ~2005
2836401083567280216710 ~2005
2836598183567319636710 ~2005
283664730111346589204112 ~2008
Exponent Prime Factor Digits Year
2836819679567363935910 ~2005
2836834391567366878310 ~2005
28369316811702159008711 ~2006
2836945571567389114310 ~2005
28369957371702197442311 ~2006
2837020451567404090310 ~2005
2837056199567411239910 ~2005
28371299176809111800911 ~2007
283719996156176559227912 ~2010
2837432831567486566310 ~2005
2837762591567552518310 ~2005
2837873651567574730310 ~2005
2838112451567622490310 ~2005
28383740534541398484911 ~2007
2838421931567684386310 ~2005
2838441071567688214310 ~2005
2838462251567692450310 ~2005
2838523739567704747910 ~2005
2838547391567709478310 ~2005
2838727343567745468710 ~2005
2838830639567766127910 ~2005
2838836603567767320710 ~2005
2838906971567781394310 ~2005
2838990779567798155910 ~2005
2839064171567812834310 ~2005
Exponent Prime Factor Digits Year
28390680314542508849711 ~2007
2839159223567831844710 ~2005
28391593192271327455311 ~2006
2839191851567838370310 ~2005
28391951572271356125711 ~2006
283922504910789055186312 ~2008
2839292831567858566310 ~2005
2839323143567864628710 ~2005
28395615899086597084911 ~2008
2839564811567912962310 ~2005
2839577843567915568710 ~2005
28396955872271756469711 ~2006
2839902179567980435910 ~2005
28399231574543877051311 ~2007
28399301512271944120911 ~2006
2839960943567992188710 ~2005
2840010923568002184710 ~2005
28400749211704044952711 ~2006
2840342723568068544710 ~2005
2840412299568082459910 ~2005
2840431019568086203910 ~2005
2840575019568115003910 ~2005
2840583503568116700710 ~2005
2840667491568133498310 ~2005
28407330472272586437711 ~2006
Exponent Prime Factor Digits Year
2840876651568175330310 ~2005
28410071331704604279911 ~2006
2841084203568216840710 ~2005
2841109031568221806310 ~2005
28411479371704688762311 ~2006
28411811931704708715911 ~2006
2841291899568258379910 ~2005
28413170692273053655311 ~2006
28413297411704797844711 ~2006
2841375899568275179910 ~2005
2841390911568278182310 ~2005
2841449111568289822310 ~2005
28415310611704918636711 ~2006
28415638632841563863111 ~2007
28415833731704950023911 ~2006
28417057392841705739111 ~2007
28417350412273388032911 ~2006
2841810131568362026310 ~2005
28418313898525494167111 ~2008
2841985343568397068710 ~2005
2842253363568450672710 ~2005
2842261871568452374310 ~2005
28422664632842266463111 ~2007
2842567811568513562310 ~2005
2842584071568516814310 ~2005
3882
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25-05-04