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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
819737761491842656710 ~2002
819763583163952716710 ~2001
819800647819800647110 ~2002
819802799163960559910 ~2001
819804851163960970310 ~2001
819836051163967210310 ~2001
819859151163971830310 ~2001
819861017655888813710 ~2002
819888683163977736710 ~2001
8198933111311829297711 ~2003
819922511163984502310 ~2001
819923339163984667910 ~2001
819933683163986736710 ~2001
819937003819937003110 ~2002
819956017491973610310 ~2002
819958619163991723910 ~2001
8200269591968064701711 ~2003
820060991164012198310 ~2001
820074461492044676710 ~2002
820121699164024339910 ~2001
820122421492073452710 ~2002
8201263812460379143111 ~2004
820153931164030786310 ~2001
820162919164032583910 ~2001
820165499164033099910 ~2001
Exponent Prime Factor Digits Year
820179209656143367310 ~2002
820248683164049736710 ~2001
820257491164051498310 ~2001
820258979164051795910 ~2001
820275119164055023910 ~2001
8203009631968722311311 ~2003
820307363164061472710 ~2001
820333859164066771910 ~2001
820339511164067902310 ~2001
8203575791968858189711 ~2003
820360979164072195910 ~2001
820390223164078044710 ~2001
820398329656318663310 ~2002
820436699656349359310 ~2002
820438181492262908710 ~2002
820467239164093447910 ~2001
820470661492282396710 ~2002
8205117173117944524711 ~2004
8205167691148723476711 ~2003
820527431656421944910 ~2002
820539497656431597710 ~2002
820579031164115806310 ~2001
820612379164122475910 ~2001
820631351164126270310 ~2001
820645433492387259910 ~2002
Exponent Prime Factor Digits Year
820688639164137727910 ~2001
820689817492413890310 ~2002
820706123164141224710 ~2001
820710239164142047910 ~2001
820725623164145124710 ~2001
820745699164149139910 ~2001
820759883164151976710 ~2001
820761671164152334310 ~2001
820783091164156618310 ~2001
820797023164159404710 ~2001
820807943164161588710 ~2001
820819661656655728910 ~2002
820825763164165152710 ~2001
820836713492502027910 ~2002
820836743164167348710 ~2001
820865231164173046310 ~2001
820870019164174003910 ~2001
820886831164177366310 ~2001
820890419164178083910 ~2001
821007419164201483910 ~2001
821013863164202772710 ~2001
821016323164203264710 ~2001
821026523164205304710 ~2001
821056763164211352710 ~2001
821088683164217736710 ~2001
Exponent Prime Factor Digits Year
821102497492661498310 ~2002
821134997656907997710 ~2002
821154023164230804710 ~2001
82115548120364655928912 ~2006
821174833492704899910 ~2002
821236393492741835910 ~2002
8212511771314001883311 ~2003
821267459164253491910 ~2001
821303783164260756710 ~2001
821307107657045685710 ~2002
821315219164263043910 ~2001
8213270271971184864911 ~2003
821328581492797148710 ~2002
821352023164270404710 ~2001
821415659164283131910 ~2001
821428271164285654310 ~2001
821429639164285927910 ~2001
8214418073942920673711 ~2004
8214478971150027055911 ~2003
821449859164289971910 ~2001
821469443164293888710 ~2001
821492123164298424710 ~2001
821504951164300990310 ~2001
8215241833450401568711 ~2004
821536559164307311910 ~2001
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26-07-05