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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 Dig. Year
88991496591779829931911 ~2009
88994803911779896078311 ~2009
88995611991779912239911 ~2009
89002145031780042900711 ~2009
89006147697120491815311 ~2010
89011872591780237451911 ~2009
89013022791780260455911 ~2009
89013529791780270595911 ~2009
89014187118901418711111 ~2010
89016959631780339192711 ~2009
89020857231780417144711 ~2009
89024158815341449528711 ~2010
89027588631780551772711 ~2009
89029655631780593112711 ~2009
890334078114245345249712 ~2011
89044726911780894538311 ~2009
89046813231780936264711 ~2009
89047874031780957480711 ~2009
89057653911781153078311 ~2009
89060542191781210843911 ~2009
890611358912468559024712 ~2011
89064420591781288411911 ~2009
890695466321376691191312 ~2011
89074359735344461583911 ~2010
89079993615344799616711 ~2010
Exponent Prime Factor Dig. Year
89080849797126467983311 ~2010
89085412311781708246311 ~2009
89089627735345377663911 ~2010
89090217831781804356711 ~2009
89098505598909850559111 ~2010
89100757377128060589711 ~2010
89106730911782134618311 ~2009
89109952791782199055911 ~2009
89111900031782238000711 ~2009
89117089791782341795911 ~2009
89119016991782380339911 ~2009
89123501935347410115911 ~2010
89125306311782506126311 ~2009
89126399175347583950311 ~2010
89128310031782566200711 ~2009
89129640015347778400711 ~2010
89130215631782604312711 ~2009
89131113231782622264711 ~2009
89133445911782668918311 ~2009
89134117575348047054311 ~2010
89139340311782786806311 ~2009
891445615319611803536712 ~2011
89146669677131733573711 ~2010
89148328975348899738311 ~2010
89153649175349218950311 ~2010
Exponent Prime Factor Dig. Year
89155815111783116302311 ~2009
89155934511783118690311 ~2009
89170550511783411010311 ~2009
891810211319619824648712 ~2011
89181670615350900236711 ~2010
89181779031783635580711 ~2009
89196091215351765472711 ~2010
89198246631783964932711 ~2009
89202086391784041727911 ~2009
89203077831784061556711 ~2009
89205544311784110886311 ~2009
89206085631784121712711 ~2009
89208940191784178803911 ~2009
89213023917137041912911 ~2010
89214203511784284070311 ~2009
89218671591784373431911 ~2009
89225384415353523064711 ~2010
89227661697138212935311 ~2010
89227692591784553851911 ~2009
89227828335353669699911 ~2010
892310963312492353486312 ~2011
89241718911784834378311 ~2009
892434278912494079904712 ~2011
89250043311785000866311 ~2009
89254641231785092824711 ~2009
Exponent Prime Factor Dig. Year
89255568831785111376711 ~2009
89256070015355364200711 ~2010
89256694135355401647911 ~2010
89256847311785136946311 ~2009
89258509911785170198311 ~2009
892602903116066852255912 ~2011
89262537111785250742311 ~2009
89262544791785250895911 ~2009
892675957116068167227912 ~2011
89268907998926890799111 ~2010
892744379312498421310312 ~2011
89277110631785542212711 ~2009
89281918797142553503311 ~2010
892863421712500087903912 ~2011
89297560911785951218311 ~2009
89303163831786063276711 ~2009
89305448511786108970311 ~2009
89305849615358350976711 ~2010
89308711431786174228711 ~2009
89311533231786230664711 ~2009
89312494191786249883911 ~2009
89314486497145158919311 ~2010
89315911911786318238311 ~2009
89316389511786327790311 ~2009
89321137911786422758311 ~2009
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25-06-01