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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
724257071144851414310 ~2000
7242694671883100614311 ~2003
724289729579431783310 ~2002
724292351144858470310 ~2000
724343723144868744710 ~2000
724369883144873976710 ~2000
724381571579505256910 ~2002
724384343144876868710 ~2000
7243864131014140978311 ~2002
724395251144879050310 ~2000
724401971144880394310 ~2000
7244226071159076171311 ~2002
724424699144884939910 ~2000
724431611144886322310 ~2000
724462261434677356710 ~2001
724466027579572821710 ~2002
724477387724477387110 ~2002
724479383144895876710 ~2000
724491707579593365710 ~2002
724567331144913466310 ~2000
724589051144917810310 ~2000
724609559144921911910 ~2000
724653383144930676710 ~2000
724654559144930911910 ~2000
724661579144932315910 ~2000
Exponent Prime Factor Digits Year
724673819144934763910 ~2000
724693043144938608710 ~2000
724710989579768791310 ~2002
724711829579769463310 ~2002
7247159092174147727111 ~2003
724724387579779509710 ~2002
724739063144947812710 ~2000
724761239144952247910 ~2000
7247891571014704819911 ~2002
724851313434910787910 ~2001
724889591144977918310 ~2000
724892411144978482310 ~2000
724899359144979871910 ~2000
724915979144983195910 ~2000
724920419144984083910 ~2000
724989563144997912710 ~2000
725010337435006202310 ~2001
725014943145002988710 ~2000
725018561580014848910 ~2002
725019437435011662310 ~2001
725038631145007726310 ~2000
725100671145020134310 ~2000
725101211145020242310 ~2000
725110931145022186310 ~2000
725115239145023047910 ~2000
Exponent Prime Factor Digits Year
725120041435072024710 ~2001
725124083145024816710 ~2000
725160377435096226310 ~2001
7251936431160309828911 ~2002
725194643145038928710 ~2000
725200799145040159910 ~2000
725233919145046783910 ~2000
725252653435151591910 ~2001
725265791145053158310 ~2000
725279543145055908710 ~2000
725287943145057588710 ~2000
725334383145066876710 ~2000
725348423145069684710 ~2000
7253587071885932638311 ~2003
725405711145081142310 ~2000
7254210971160673755311 ~2002
725423579145084715910 ~2000
7254253811595935838311 ~2003
725436191145087238310 ~2000
725440013435264007910 ~2001
725449871145089974310 ~2000
725465423145093084710 ~2000
7254773511305859231911 ~2003
725519159145103831910 ~2000
725538221580430576910 ~2002
Exponent Prime Factor Digits Year
725574599145114919910 ~2000
725606939145121387910 ~2000
725617559145123511910 ~2000
725628779145125755910 ~2000
725631197435378718310 ~2001
7256350392467159132711 ~2003
725636291145127258310 ~2000
725658551145131710310 ~2000
725731151145146230310 ~2000
725749919145149983910 ~2000
725774969580619975310 ~2002
725785799145157159910 ~2000
725794763145158952710 ~2000
725802359145160471910 ~2000
725809241435485544710 ~2001
725831471145166294310 ~2000
725840051145168010310 ~2000
725883167580706533710 ~2002
725897437435538462310 ~2001
725904083145180816710 ~2000
725904719145180943910 ~2000
7259134071306644132711 ~2003
725920463145184092710 ~2000
725927003145185400710 ~2000
725938679145187735910 ~2000
3443
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25-07-20