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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
3455608796911217599 ~1998
345568921207341352710 ~1999
3455868596911737199 ~1998
3455918396911836799 ~1998
3455941436911882879 ~1998
3455955716911911439 ~1998
3456050636912101279 ~1998
3456184316912368639 ~1998
345637459345637459110 ~1999
3456391916912783839 ~1998
3456667316913334639 ~1998
3456866396913732799 ~1998
3456980636913961279 ~1998
3457042796914085599 ~1998
3457043996914087999 ~1998
3457045731106254633711 ~2001
3457070516914141039 ~1998
3457230716914461439 ~1998
3457290611659499492911 ~2001
345731753207439051910 ~1999
3457348916914697839 ~1998
3457528316915056639 ~1998
3457584116915168239 ~1998
3457607036915214079 ~1998
3457679636915359279 ~1998
Exponent Prime Factor Digits Year
3457756916915513839 ~1998
345777647276622117710 ~1999
3457804196915608399 ~1998
345780719276624575310 ~1999
3457826036915652079 ~1998
3457928516915857039 ~1998
3458011436916022879 ~1998
3458018996916037999 ~1998
3458110796916221599 ~1998
3458212196916424399 ~1998
3458306036916612079 ~1998
3458589836917179679 ~1998
3458862236917724479 ~1998
345894091345894091110 ~1999
3459042116918084239 ~1998
345920857207552514310 ~1999
3459252596918505199 ~1998
345928201207556920710 ~1999
3459286373597657824911 ~2002
345935141207561084710 ~1999
3459380036918760079 ~1998
3459459236918918479 ~1998
3459539996919079999 ~1998
3459545996919091999 ~1998
3459560036919120079 ~1998
Exponent Prime Factor Digits Year
3459712916919425839 ~1998
3459867836919735679 ~1998
3459974996919949999 ~1998
3459997436919994879 ~1998
3460001396920002799 ~1998
3460048196920096399 ~1998
3460107716920215439 ~1998
3460112771660854129711 ~2001
346018037276814429710 ~1999
346036577276829261710 ~1999
3460376036920752079 ~1998
3460377596920755199 ~1998
3460451636920903279 ~1998
3460550636921101279 ~1998
346058717484482203910 ~2000
346067341207640404710 ~1999
3460677236921354479 ~1998
3460700516921401039 ~1998
3460710836921421679 ~1998
3460790996921581999 ~1998
3460802636921605279 ~1998
3460808036921616079 ~1998
346097833207658699910 ~1999
3461034236922068479 ~1998
3461068796922137599 ~1998
Exponent Prime Factor Digits Year
3461127716922255439 ~1998
3461173796922347599 ~1998
3461197316922394639 ~1998
346142369484599316710 ~2000
346155487553848779310 ~2000
3461614796923229599 ~1998
346180141207708084710 ~1999
3461859236923718479 ~1998
3461919596923839199 ~1998
3462004436924008879 ~1998
3462341931938911480911 ~2001
3462417236924834479 ~1998
3462668391108053884911 ~2001
3462689636925379279 ~1998
3462715916925431839 ~1998
346278377207767026310 ~1999
346284247623311644710 ~2000
3462843116925686239 ~1998
346284943346284943110 ~1999
3462867116925734239 ~1998
3463080236926160479 ~1998
3463143836926287679 ~1998
3463193996926387999 ~1998
3463208996926417999 ~1998
346323919623383054310 ~2000
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