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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
688411331137682266310 ~2000
688424171550739336910 ~2001
688438313413062987910 ~2001
688445881413067528710 ~2001
688453631137690726310 ~2000
688478363137695672710 ~2000
688499653413099791910 ~2001
688502231137700446310 ~2000
688512719137702543910 ~2000
688538951137707790310 ~2000
688554983137710996710 ~2000
688596719137719343910 ~2000
688619303137723860710 ~2000
688627193413176315910 ~2001
688632839137726567910 ~2000
6886719591239609526311 ~2002
688690993413214595910 ~2001
688720063688720063110 ~2002
688742123137748424710 ~2000
688751891137750378310 ~2000
688763903137752780710 ~2000
688766759137753351910 ~2000
688793723137758744710 ~2000
688822391137764478310 ~2000
688837199137767439910 ~2000
Exponent Prime Factor Digits Year
688853057413311834310 ~2001
688862963137772592710 ~2000
688873271137774654310 ~2000
688881311137776262310 ~2000
688893011137778602310 ~2000
688896863137779372710 ~2000
688908127688908127110 ~2002
688928351137785670310 ~2000
6889321511102291441711 ~2002
688937737413362642310 ~2001
688942883137788576710 ~2000
688960763137792152710 ~2000
688968227551174581710 ~2001
688988701413393220710 ~2001
688991003137798200710 ~2000
689035337413421202310 ~2001
689041697551233357710 ~2001
689047379137809475910 ~2000
689084699137816939910 ~2000
689085431137817086310 ~2000
689089721413453832710 ~2001
689140801413484480710 ~2001
689140847551312677710 ~2001
689154299551323439310 ~2001
689162909551330327310 ~2001
Exponent Prime Factor Digits Year
689173997551339197710 ~2001
689194403137838880710 ~2000
689201603137840320710 ~2000
689228279137845655910 ~2000
689246111137849222310 ~2000
689262599137852519910 ~2000
689299703137859940710 ~2000
689300291137860058310 ~2000
689306461413583876710 ~2001
689309099551447279310 ~2001
689320031137864006310 ~2000
689322971137864594310 ~2000
689349443137869888710 ~2000
689441531137888306310 ~2000
689460071137892014310 ~2000
68947384714892635095312 ~2005
689498489551598791310 ~2001
689530739137906147910 ~2000
6895337111241160679911 ~2002
6895537213171947116711 ~2003
689557943137911588710 ~2000
689559011137911802310 ~2000
689580389551664311310 ~2001
689590679137918135910 ~2000
689620643137924128710 ~2000
Exponent Prime Factor Digits Year
6896417932206853737711 ~2003
689659331137931866310 ~2000
689669483137933896710 ~2000
689675849965546188710 ~2002
689685341413811204710 ~2001
689686979137937395910 ~2000
689720357551776285710 ~2001
689730803137946160710 ~2000
689744183137948836710 ~2000
689752523137950504710 ~2000
689758259137951651910 ~2000
689779487551823589710 ~2001
689784311137956862310 ~2000
689790443137958088710 ~2000
689813339137962667910 ~2000
689823731137964746310 ~2000
689824823137964964710 ~2000
689835539137967107910 ~2000
689838251137967650310 ~2000
689856539137971307910 ~2000
689862443137972488710 ~2000
689863379137972675910 ~2000
689882293413929375910 ~2001
689887223137977444710 ~2000
689891879137978375910 ~2000
3306
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25-04-13