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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
889237103177847420710 ~2001
889250651177850130310 ~2001
8892580211422812833711 ~2003
889265999177853199910 ~2001
889310699177862139910 ~2001
889314773533588863910 ~2002
889366697533620018310 ~2002
889416431177883286310 ~2001
889418219177883643910 ~2001
8894354411423096705711 ~2003
889437517533662510310 ~2002
889503431177900686310 ~2001
889533521533720112710 ~2002
889573991177914798310 ~2001
889594661533756796710 ~2002
889613243177922648710 ~2001
889614503177922900710 ~2001
889616941533770164710 ~2002
889646423177929284710 ~2001
8896760711601416927911 ~2003
889696103177939220710 ~2001
889704191177940838310 ~2001
889721603177944320710 ~2001
889764251177952850310 ~2001
889774943177954988710 ~2001
Exponent Prime Factor Digits Year
889810079177962015910 ~2001
889839323177967864710 ~2001
889840339889840339110 ~2003
889844363177968872710 ~2001
889847291177969458310 ~2001
889864091177972818310 ~2001
889900421533940252710 ~2002
889906991177981398310 ~2001
889951571177990314310 ~2001
889953371177990674310 ~2001
889991363177998272710 ~2001
890006339178001267910 ~2001
890017559178003511910 ~2001
890020511178004102310 ~2001
890068691178013738310 ~2001
890133539178026707910 ~2001
890215211178043042310 ~2001
890217719178043543910 ~2001
890232131178046426310 ~2001
890284117534170470310 ~2002
890293559178058711910 ~2001
8902997032848959049711 ~2004
890304257712243405710 ~2002
890308043178061608710 ~2001
890315183178063036710 ~2001
Exponent Prime Factor Digits Year
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
890708747712566997710 ~2002
890783219178156643910 ~2001
890786639178157327910 ~2001
8907951191603431214311 ~2003
890814959178162991910 ~2001
890846543178169308710 ~2001
Exponent Prime Factor Digits Year
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
8912712372139050968911 ~2004
891278797534767278310 ~2002
891290423178258084710 ~2001
891324743178264948710 ~2001
891350093534810055910 ~2002
891363719178272743910 ~2001
891402661534841596710 ~2002
891408223891408223110 ~2003
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25-04-13