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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
650020391130004078310 ~2000
650023457390014074310 ~2001
650037203130007440710 ~2000
650039303130007860710 ~2000
650041823130008364710 ~2000
650046203130009240710 ~2000
650046443130009288710 ~2000
650050991130010198310 ~2000
650063411130012682310 ~2000
650070143130014028710 ~2000
650070203130014040710 ~2000
650084651130016930310 ~2000
650086763130017352710 ~2000
650091863130018372710 ~2000
650094323130018864710 ~2000
650100131130020026310 ~2000
650106179130021235910 ~2000
650108003130021600710 ~2000
650120501390072300710 ~2001
650153519130030703910 ~2000
650157461520125968910 ~2001
650194823130038964710 ~2000
6502104431560505063311 ~2002
650222003130044400710 ~2000
650243903130048780710 ~2000
Exponent Prime Factor Digits Year
6502483071690645598311 ~2003
650251379130050275910 ~2000
650264177390158506310 ~2001
650266871130053374310 ~2000
650278691130055738310 ~2000
650324651130064930310 ~2000
650327339520261871310 ~2001
650331839520265471310 ~2001
650337617390202570310 ~2001
650342111130068422310 ~2000
650343971130068794310 ~2000
650356859130071371910 ~2000
650368811130073762310 ~2000
650371859520297487310 ~2001
650396843130079368710 ~2000
650408963130081792710 ~2000
650437157390262294310 ~2001
650454401520363520910 ~2001
650463337390278002310 ~2001
650475779130095155910 ~2000
650487899520390319310 ~2001
650501903130100380710 ~2000
650508107520406485710 ~2001
650509037520407229710 ~2001
650529161390317496710 ~2001
Exponent Prime Factor Digits Year
650536583130107316710 ~2000
650539091130107818310 ~2000
650540573390324343910 ~2001
650545079130109015910 ~2000
650549519130109903910 ~2000
6505588331431229432711 ~2002
650575727520460581710 ~2001
650597581390358548710 ~2001
6506157593253078795111 ~2003
650618099130123619910 ~2000
6506208233643476608911 ~2003
650630663130126132710 ~2000
650637059130127411910 ~2000
650637137390382282310 ~2001
650654171130130834310 ~2000
650672303130134460710 ~2000
650677283130135456710 ~2000
650681939130136387910 ~2000
650685481390411288710 ~2001
650701679130140335910 ~2000
6507019911171263583911 ~2002
650706971130141394310 ~2000
650710981390426588710 ~2001
650714639130142927910 ~2000
650736743130147348710 ~2000
Exponent Prime Factor Digits Year
6507388331431625432711 ~2002
650741543130148308710 ~2000
650745731130149146310 ~2000
650765723130153144710 ~2000
6508117271171461108711 ~2002
6508277831041324452911 ~2002
650843663130168732710 ~2000
650846711130169342310 ~2000
650862581520690064910 ~2001
650889419130177883910 ~2000
650894173390536503910 ~2001
650921759130184351910 ~2000
650928611130185722310 ~2000
650938583130187716710 ~2000
6509470613124545892911 ~2003
650947931130189586310 ~2000
650948099130189619910 ~2000
650963077390577846310 ~2001
650963723130192744710 ~2000
6509656435858690787111 ~2004
650973803130194760710 ~2000
6509884133515337430311 ~2003
650997839130199567910 ~2000
650998559130199711910 ~2000
651000739651000739110 ~2002
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26-03-15