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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
1677602291335520458310 ~2003
1677674723335534944710 ~2003
16777000911342160072911 ~2005
16777225694026534165711 ~2006
1677833519335566703910 ~2003
1677955043335591008710 ~2003
1678003403335600680710 ~2003
16780367211342429376911 ~2005
1678093031335618606310 ~2003
1678118699335623739910 ~2003
1678178291335635658310 ~2003
1678205159335641031910 ~2003
16782058879733594144711 ~2007
1678234931335646986310 ~2003
1678291319335658263910 ~2003
1678309799335661959910 ~2003
1678351271335670254310 ~2003
1678352471335670494310 ~2003
1678363103335672620710 ~2003
1678499939335699987910 ~2003
1678510943335702188710 ~2003
16785113637049747724711 ~2006
1678522199335704439910 ~2003
16785398831678539883111 ~2005
167859642140286314104112 ~2008
Exponent Prime Factor Digits Year
16786130811342890464911 ~2005
1678630223335726044710 ~2003
167865723726858515792112 ~2008
1678757231335751446310 ~2003
16789018571007341114311 ~2004
1678913279335782655910 ~2003
16789312791343145023311 ~2005
16789883511343190680911 ~2005
1679046983335809396710 ~2003
16790496892350669564711 ~2005
1679060231335812046310 ~2003
1679068211335813642310 ~2003
1679084783335816956710 ~2003
1679222123335844424710 ~2003
16792415331007544919911 ~2004
16792551194030212285711 ~2006
1679279963335855992710 ~2003
1679291303335858260710 ~2003
16792936191343434895311 ~2005
1679317751335863550310 ~2003
1679321771335864354310 ~2003
1679333483335866696710 ~2003
16793605313022848955911 ~2005
1679402759335880551910 ~2003
1679462579335892515910 ~2003
Exponent Prime Factor Digits Year
1679509631335901926310 ~2003
1679512031335902406310 ~2003
16795162871679516287111 ~2005
1679559263335911852710 ~2003
1679591339335918267910 ~2003
16796583411343726672911 ~2005
1679679539335935907910 ~2003
16796978411007818704711 ~2004
1679698259335939651910 ~2003
1679716751335943350310 ~2003
1679737931335947586310 ~2003
16797542331007852539911 ~2004
1679844191335968838310 ~2003
1679957579335991515910 ~2003
1679964323335992864710 ~2003
1680006791336001358310 ~2003
1680037559336007511910 ~2003
1680048803336009760710 ~2003
1680056531336011306310 ~2003
16800680171008040810311 ~2004
16800995211344079616911 ~2005
1680213851336042770310 ~2003
16802337132688373940911 ~2005
1680314423336062884710 ~2003
16803199371008191962311 ~2004
Exponent Prime Factor Digits Year
1680371939336074387910 ~2003
1680408371336081674310 ~2003
1680438659336087731910 ~2003
1680521963336104392710 ~2003
16805406133697189348711 ~2006
1680549011336109802310 ~2003
1680619799336123959910 ~2003
16806873911680687391111 ~2005
1680690443336138088710 ~2003
1680727619336145523910 ~2003
16807643691344611495311 ~2005
1680780443336156088710 ~2003
16808391971008503518311 ~2004
1680870671336174134310 ~2003
16809108834034186119311 ~2006
1680915779336183155910 ~2003
1680915839336183167910 ~2003
1680956939336191387910 ~2003
16809866471680986647111 ~2005
1681033583336206716710 ~2003
1681054283336210856710 ~2003
1681062611336212522310 ~2003
1681068971336213794310 ~2003
1681137323336227464710 ~2003
16811608611008696516711 ~2004
3986
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25-12-14