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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
2820639071564127814310 ~2005
28209702771692582166311 ~2006
2820986159564197231910 ~2005
28210543611692632616711 ~2006
2821062311564212462310 ~2005
2821091051564218210310 ~2005
2821114199564222839910 ~2005
2821397651564279530310 ~2005
28214114931692846895911 ~2006
2821432079564286415910 ~2005
2821471379564294275910 ~2005
2821528679564305735910 ~2005
2821686611564337322310 ~2005
2821687499564337499910 ~2005
2821705163564341032710 ~2005
2821877963564375592710 ~2005
2821965551564393110310 ~2005
2821978403564395680710 ~2005
2821990823564398164710 ~2005
28220825411693249524711 ~2006
2822176319564435263910 ~2005
2822502311564500462310 ~2005
2822514323564502864710 ~2005
28226817472258145397711 ~2006
2822725043564545008710 ~2005
Exponent Prime Factor Digits Year
28227490571693649434311 ~2006
28228290674516526507311 ~2007
28228335971693700158311 ~2006
2822932103564586420710 ~2005
2823028343564605668710 ~2005
2823131543564626308710 ~2005
2823169403564633880710 ~2005
2823235319564647063910 ~2005
2823413591564682718310 ~2005
28234847531694090851911 ~2006
2823686003564737200710 ~2005
2823717899564743579910 ~2005
2823809783564761956710 ~2005
28239905092259192407311 ~2006
28242341512259387320911 ~2006
2824277783564855556710 ~2005
28244199531694651971911 ~2006
2824420799564884159910 ~2005
28245544571694732674311 ~2006
2824572323564914464710 ~2005
2824617431564923486310 ~2005
2824985063564997012710 ~2005
28250279811695016788711 ~2006
2825145023565029004710 ~2005
2825166551565033310310 ~2005
Exponent Prime Factor Digits Year
2825188043565037608710 ~2005
28252369032825236903111 ~2007
2825348483565069696710 ~2005
28253839211695230352711 ~2006
28254147974520663675311 ~2007
28254421211695265272711 ~2006
2825498831565099766310 ~2005
282553447710737031012712 ~2008
2825584043565116808710 ~2005
28257393796781774509711 ~2007
2825759903565151980710 ~2005
28257724371695463462311 ~2006
28259288571695557314311 ~2006
28260621531695637291911 ~2006
28261297072260903765711 ~2006
2826546071565309214310 ~2005
28265647814522503649711 ~2007
2826597551565319510310 ~2005
28266457192261316575311 ~2006
28267546571696052794311 ~2006
2826865883565373176710 ~2005
2826917111565383422310 ~2005
2826956939565391387910 ~2005
2827012763565402552710 ~2005
28270903632827090363111 ~2007
Exponent Prime Factor Digits Year
28270978214523356513711 ~2007
2827309931565461986310 ~2005
28273214571696392874311 ~2006
2827345799565469159910 ~2005
28273499992261879999311 ~2006
2827357859565471571910 ~2005
28274156872261932549711 ~2006
2827430519565486103910 ~2005
2827605551565521110310 ~2005
2827630763565526152710 ~2005
2827711343565542268710 ~2005
28277253611696635216711 ~2006
28277461211696647672711 ~2006
28277826971696669618311 ~2006
2827817171565563434310 ~2005
2828061371565612274310 ~2005
28280879573959323139911 ~2007
2828104439565620887910 ~2005
2828112971565622594310 ~2005
2828327699565665539910 ~2005
2828469491565693898310 ~2005
2828512391565702478310 ~2005
28285297574525647611311 ~2007
28285461011697127660711 ~2006
28286033531697162011911 ~2006
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25-05-04