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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
887594843177518968710 ~2001
8876034671420165547311 ~2003
887605319177521063910 ~2001
8876364591597745626311 ~2003
887657531177531506310 ~2001
887661611177532322310 ~2001
887680679177536135910 ~2001
887718311177543662310 ~2001
887724839177544967910 ~2001
887754601532652760710 ~2002
887770679177554135910 ~2001
887808899177561779910 ~2001
887821691177564338310 ~2001
887826743177565348710 ~2001
8878308372663492511111 ~2004
887839499177567899910 ~2001
887841431177568286310 ~2001
887886911177577382310 ~2001
887895119177579023910 ~2001
887905561532743336710 ~2002
887933777532760266310 ~2002
887936663177587332710 ~2001
8879408992841410876911 ~2004
887943863177588772710 ~2001
887944021532766412710 ~2002
Exponent Prime Factor Digits Year
888033959177606791910 ~2001
888060623177612124710 ~2001
888079483888079483110 ~2003
888121219888121219110 ~2003
8881843279414753866311 ~2005
8882313591598816446311 ~2003
888255359177651071910 ~2001
888273779177654755910 ~2001
888317981532990788710 ~2002
8883879714264262260911 ~2004
888406679177681335910 ~2001
888416531177683306310 ~2001
888431417533058850310 ~2002
888440771177688154310 ~2001
888453911177690782310 ~2001
888454751177690950310 ~2001
888465131177693026310 ~2001
888470279177694055910 ~2001
888490019177698003910 ~2001
888498419177699683910 ~2001
888500279710800223310 ~2002
888554363177710872710 ~2001
8885570692843382620911 ~2004
888651359177730271910 ~2001
888655139177731027910 ~2001
Exponent Prime Factor Digits Year
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
889018079177803615910 ~2001
889027943177805588710 ~2001
889096619177819323910 ~2001
889178119889178119110 ~2003
88918533725608537705712 ~2006
Exponent Prime Factor Digits Year
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
889533521533720112710 ~2002
889573991177914798310 ~2001
889594661533756796710 ~2002
889613243177922648710 ~2001
889614503177922900710 ~2001
889616941533770164710 ~2002
889642511177928502310 ~2001
889646423177929284710 ~2001
8896760711601416927911 ~2003
889696103177939220710 ~2001
889704191177940838310 ~2001
3436
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25-05-04