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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
723635879144727175910 ~2000
723642851144728570310 ~2000
723647843144729568710 ~2000
723648071144729614310 ~2000
723665837434199502310 ~2001
723671783144734356710 ~2000
723698819144739763910 ~2000
7237016831736884039311 ~2003
723718799144743759910 ~2000
723756443144751288710 ~2000
723757271144751454310 ~2000
7237573934632047315311 ~2004
723759521434255712710 ~2001
723762731144752546310 ~2000
7237647293474070699311 ~2004
723786671144757334310 ~2000
723837599144767519910 ~2000
7238426271302916728711 ~2003
723842831144768566310 ~2000
723904859144780971910 ~2000
7239063191737375165711 ~2003
723908561434345136710 ~2001
723909863144781972710 ~2000
7239194291592622743911 ~2003
723978179144795635910 ~2000
Exponent Prime Factor Digits Year
724008361434405016710 ~2001
724019059724019059110 ~2002
724026911144805382310 ~2000
724028171144805634310 ~2000
724094363144818872710 ~2000
724105139144821027910 ~2000
724155671144831134310 ~2000
724158251144831650310 ~2000
72415984710572733766312 ~2005
724192223144838444710 ~2000
724194011144838802310 ~2000
7242015012172604503111 ~2003
724221383144844276710 ~2000
724222511579378008910 ~2002
724227083144845416710 ~2000
724243739144848747910 ~2000
7242542295214630448911 ~2004
724257071144851414310 ~2000
7242694671883100614311 ~2003
724289729579431783310 ~2002
724292351144858470310 ~2000
724343723144868744710 ~2000
724369883144873976710 ~2000
724381571579505256910 ~2002
724384343144876868710 ~2000
Exponent Prime Factor Digits Year
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
724673819144934763910 ~2000
724693043144938608710 ~2000
724710989579768791310 ~2002
724711829579769463310 ~2002
7247159092174147727111 ~2003
724724387579779509710 ~2002
724739063144947812710 ~2000
724761239144952247910 ~2000
Exponent Prime Factor Digits Year
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
725120041435072024710 ~2001
725124083145024816710 ~2000
725160377435096226310 ~2001
725190611145038122310 ~2000
7251936431160309828911 ~2002
725194643145038928710 ~2000
725200799145040159910 ~2000
725233919145046783910 ~2000
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25-11-02