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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
890284117534170470310 ~2002
890293559178058711910 ~2001
8902997032848959049711 ~2004
890304257712243405710 ~2002
890308043178061608710 ~2001
890315183178063036710 ~2001
8903423171424547707311 ~2003
890447347890447347110 ~2003
890464259178092851910 ~2001
890467031178093406310 ~2001
890475673534285403910 ~2002
890485451178097090310 ~2001
890506679178101335910 ~2001
890510171178102034310 ~2001
890517359712413887310 ~2002
890519039178103807910 ~2001
890540663178108132710 ~2001
890546603178109320710 ~2001
890549771178109954310 ~2001
890554631178110926310 ~2001
890564579178112915910 ~2001
890618783178123756710 ~2001
890622959178124591910 ~2001
890677979178135595910 ~2001
890701739178140347910 ~2001
Exponent Prime Factor Digits Year
890707523178141504710 ~2001
890708747712566997710 ~2002
890783219178156643910 ~2001
890786639178157327910 ~2001
8907951191603431214311 ~2003
890814959178162991910 ~2001
890846543178169308710 ~2001
8909150931247281130311 ~2003
890917883178183576710 ~2001
890960519178192103910 ~2001
890972591178194518310 ~2001
891023123178204624710 ~2001
891023897712819117710 ~2002
891037523178207504710 ~2001
891047879178209575910 ~2001
891052031178210406310 ~2001
891090503178218100710 ~2001
891094859178218971910 ~2001
891107579178221515910 ~2001
891163739178232747910 ~2001
891202379178240475910 ~2001
8912152871604187516711 ~2003
891220331178244066310 ~2001
891234131178246826310 ~2001
891264659178252931910 ~2001
Exponent Prime Factor Digits Year
8912712372139050968911 ~2004
891278797534767278310 ~2002
891290423178258084710 ~2001
891324743178264948710 ~2001
891350093534810055910 ~2002
891363719178272743910 ~2001
891402661534841596710 ~2002
891408223891408223110 ~2003
891426509713141207310 ~2002
891446327713157061710 ~2002
891447083178289416710 ~2001
891463439178292687910 ~2001
891502523178300504710 ~2001
891508837534905302310 ~2002
8915327772674598331111 ~2004
891534401713227520910 ~2002
891568259178313651910 ~2001
891570419178314083910 ~2001
891582563178316512710 ~2001
891607511178321502310 ~2001
891677603178335520710 ~2001
8916781312318363140711 ~2004
8917172891961778035911 ~2003
891748199178349639910 ~2001
891825113535095067910 ~2002
Exponent Prime Factor Digits Year
8918338074994269319311 ~2004
891851143891851143110 ~2003
891867611178373522310 ~2001
891871567891871567110 ~2003
891874283178374856710 ~2001
891888983178377796710 ~2001
891900173535140103910 ~2002
891910781535146468710 ~2002
891938759178387751910 ~2001
891951239178390247910 ~2001
891952823178390564710 ~2001
892011959178402391910 ~2001
892032923178406584710 ~2001
892036283178407256710 ~2001
892039871178407974310 ~2001
892041617535224970310 ~2002
892042451178408490310 ~2001
892048481535229088710 ~2002
892063103178412620710 ~2001
892077971178415594310 ~2001
892079533535247719910 ~2002
892095299178419059910 ~2001
892124111178424822310 ~2001
892127281535276368710 ~2002
892149697535289818310 ~2002
3659
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25-11-02