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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
684241861410545116710 ~2001
684241937547393549710 ~2001
684259991136851998310 ~2000
684269561547415648910 ~2001
684270491136854098310 ~2000
6842737393284513947311 ~2003
6843593231642462375311 ~2003
684373463136874692710 ~2000
684403679136880735910 ~2000
684404401410642640710 ~2001
6844350011505757002311 ~2003
6844544711232018047911 ~2002
684461171136892234310 ~2000
684483731136896746310 ~2000
684519851136903970310 ~2000
684521291136904258310 ~2000
684524293410714575910 ~2001
684531719136906343910 ~2000
684551963136910392710 ~2000
684588431136917686310 ~2000
684608159136921631910 ~2000
684613739136922747910 ~2000
684643451136928690310 ~2000
684644591136928918310 ~2000
684663719136932743910 ~2000
Exponent Prime Factor Digits Year
684668291136933658310 ~2000
684686861547749488910 ~2001
684696851136939370310 ~2000
684704477958586267910 ~2002
684707519136941503910 ~2000
684722191684722191110 ~2002
684730313958622438310 ~2002
684736499136947299910 ~2000
684757259136951451910 ~2000
684796823136959364710 ~2000
684800411136960082310 ~2000
684804551136960910310 ~2000
684809663136961932710 ~2000
684821783136964356710 ~2000
684831551136966310310 ~2000
684871679136974335910 ~2000
684885757410931454310 ~2001
684897839547918271310 ~2001
684906539136981307910 ~2000
684943859136988771910 ~2000
684975779136995155910 ~2000
684986723136997344710 ~2000
685010723137002144710 ~2000
685011023137002204710 ~2000
685012319137002463910 ~2000
Exponent Prime Factor Digits Year
685039703137007940710 ~2000
685042703137008540710 ~2000
685055099137011019910 ~2000
685057799137011559910 ~2000
685072631137014526310 ~2000
685079459137015891910 ~2000
685113629548090903310 ~2001
685127759137025551910 ~2000
685143779137028755910 ~2000
6851453991644348957711 ~2003
685151231137030246310 ~2000
685164611137032922310 ~2000
685187231137037446310 ~2000
685189679137037935910 ~2000
685195799137039159910 ~2000
685214759137042951910 ~2000
685216919137043383910 ~2000
685246643137049328710 ~2000
685277381411166428710 ~2001
685302239137060447910 ~2000
685333711685333711110 ~2002
685346999137069399910 ~2000
685376831137075366310 ~2000
685418047685418047110 ~2002
685419473411251683910 ~2001
Exponent Prime Factor Digits Year
685435643137087128710 ~2000
685451759137090351910 ~2000
685466399137093279910 ~2000
685469399137093879910 ~2000
685470683137094136710 ~2000
685483583137096716710 ~2000
685488971137097794310 ~2000
685582097959814935910 ~2002
685606711685606711110 ~2002
685632383137126476710 ~2000
685652537959913551910 ~2002
685653833411392299910 ~2001
685661699137132339910 ~2000
685681259137136251910 ~2000
685776743137155348710 ~2000
685894691137178938310 ~2000
685895579137179115910 ~2000
6859030391234625470311 ~2002
685903259137180651910 ~2000
685905959137181191910 ~2000
685913531137182706310 ~2000
685919303137183860710 ~2000
6859269292194966172911 ~2003
685946171137189234310 ~2000
685958243137191648710 ~2000
3589
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25-12-14