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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
888500279710800223310 ~2002
888554363177710872710 ~2001
8885570692843382620911 ~2004
888651359177730271910 ~2001
888655139177731027910 ~2001
888674219177734843910 ~2001
888688993533213395910 ~2002
888695471177739094310 ~2001
888696383177739276710 ~2001
888705371177741074310 ~2001
8887352932132964703311 ~2004
888757379177751475910 ~2001
888767051177753410310 ~2001
888771017711016813710 ~2002
888776831177755366310 ~2001
8887902491955338547911 ~2003
888832271177766454310 ~2001
888835949711068759310 ~2002
888841823177768364710 ~2001
888866831177773366310 ~2001
888894203177778840710 ~2001
888943439177788687910 ~2001
888946921533368152710 ~2002
888958331177791666310 ~2001
889000811177800162310 ~2001
Exponent Prime Factor Digits Year
889018079177803615910 ~2001
889027943177805588710 ~2001
889087079177817415910 ~2001
889096619177819323910 ~2001
889170071177834014310 ~2001
889178119889178119110 ~2003
88918533725608537705712 ~2006
889203383177840676710 ~2001
889214213533528527910 ~2002
889215083177843016710 ~2001
889237103177847420710 ~2001
889250651177850130310 ~2001
8892580211422812833711 ~2003
889265999177853199910 ~2001
889310699177862139910 ~2001
889314773533588863910 ~2002
889366697533620018310 ~2002
889416431177883286310 ~2001
889418219177883643910 ~2001
8894354411423096705711 ~2003
889437517533662510310 ~2002
889503431177900686310 ~2001
889511219177902243910 ~2001
889533521533720112710 ~2002
8895583871423293419311 ~2003
Exponent Prime Factor Digits Year
889573991177914798310 ~2001
889594661533756796710 ~2002
889613243177922648710 ~2001
889614503177922900710 ~2001
889616941533770164710 ~2002
889642511177928502310 ~2001
889646423177929284710 ~2001
889670339177934067910 ~2001
8896760711601416927911 ~2003
889696103177939220710 ~2001
889704191177940838310 ~2001
889721603177944320710 ~2001
889764251177952850310 ~2001
889774943177954988710 ~2001
889776119177955223910 ~2001
889810079177962015910 ~2001
889839323177967864710 ~2001
889840339889840339110 ~2003
889841279711873023310 ~2002
889844363177968872710 ~2001
889847291177969458310 ~2001
889864091177972818310 ~2001
889900421533940252710 ~2002
889906991177981398310 ~2001
889932443177986488710 ~2001
Exponent Prime Factor Digits Year
889951571177990314310 ~2001
889953371177990674310 ~2001
889991363177998272710 ~2001
890006339178001267910 ~2001
890017559178003511910 ~2001
890020511178004102310 ~2001
890068691178013738310 ~2001
890133539178026707910 ~2001
890156339178031267910 ~2001
890215211178043042310 ~2001
890217719178043543910 ~2001
890232131178046426310 ~2001
890278019178055603910 ~2001
890284117534170470310 ~2002
890293559178058711910 ~2001
8902997032848959049711 ~2004
890304257712243405710 ~2002
890308043178061608710 ~2001
890315183178063036710 ~2001
8903423171424547707311 ~2003
890447347890447347110 ~2003
890464259178092851910 ~2001
890467031178093406310 ~2001
890475673534285403910 ~2002
890485451178097090310 ~2001
3742
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26-01-11