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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
689349443137869888710 ~2000
689440259137888051910 ~2000
689441531137888306310 ~2000
689460071137892014310 ~2000
68947384714892635095312 ~2005
689496497551597197710 ~2002
689498489551598791310 ~2002
689499263137899852710 ~2000
689530739137906147910 ~2000
6895337111241160679911 ~2002
6895537213171947116711 ~2003
689557943137911588710 ~2000
689559011137911802310 ~2000
689580389551664311310 ~2002
689590679137918135910 ~2000
689620643137924128710 ~2000
6896417932206853737711 ~2003
689659331137931866310 ~2000
689669483137933896710 ~2000
689675849965546188710 ~2002
689685341413811204710 ~2001
689686979137937395910 ~2000
689720357551776285710 ~2002
689730803137946160710 ~2000
689744183137948836710 ~2000
Exponent Prime Factor Digits Year
689752523137950504710 ~2000
689758259137951651910 ~2000
689779487551823589710 ~2002
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
689927257413956354310 ~2001
689958383137991676710 ~2000
689991611137998322310 ~2000
6900096671104015467311 ~2002
690014159138002831910 ~2000
690017591138003518310 ~2000
690050363138010072710 ~2000
690060803138012160710 ~2000
690074051138014810310 ~2000
Exponent Prime Factor Digits Year
690147553414088531910 ~2001
690153887552123109710 ~2002
690154463138030892710 ~2000
690165647552132517710 ~2002
690171539138034307910 ~2000
690197191690197191110 ~2002
690204143138040828710 ~2000
690209519138041903910 ~2000
690216203138043240710 ~2000
6902385131104381620911 ~2002
690239279138047855910 ~2000
690247919138049583910 ~2000
690253043138050608710 ~2000
690267899138053579910 ~2000
690279179138055835910 ~2000
690281437414168862310 ~2001
690329639138065927910 ~2000
690345983138069196710 ~2000
690360323138072064710 ~2000
690376811138075362310 ~2000
690396599138079319910 ~2000
6904016231104642596911 ~2002
690403823138080764710 ~2000
690440501414264300710 ~2001
690461591138092318310 ~2000
Exponent Prime Factor Digits Year
690479963138095992710 ~2000
690508961552407168910 ~2002
690547163138109432710 ~2000
690578939138115787910 ~2000
690590399138118079910 ~2000
690610981414366588710 ~2001
690709511138141902310 ~2000
690716639138143327910 ~2000
690727139138145427910 ~2000
690753659138150731910 ~2000
690767939138153587910 ~2000
690790679138158135910 ~2000
690813743138162748710 ~2000
690824171138164834310 ~2000
690826991138165398310 ~2000
690831671138166334310 ~2000
690832283138166456710 ~2000
690842917414505750310 ~2001
6908490233868754528911 ~2004
690850691138170138310 ~2000
690873587552698869710 ~2002
690889091138177818310 ~2000
690907541552726032910 ~2002
690920941414552564710 ~2001
690933563138186712710 ~2000
3406
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25-07-08