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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
762499883152499976710 ~2000
762530519152506103910 ~2000
762538163152507632710 ~2000
7625621531830149167311 ~2003
762577379152515475910 ~2000
762603563152520712710 ~2000
762610141457566084710 ~2002
762622331152524466310 ~2000
762638771152527754310 ~2000
762641911762641911110 ~2002
762652031152530406310 ~2000
762715769610172615310 ~2002
762717803152543560710 ~2000
7627185119762796940911 ~2005
762730597457638358310 ~2002
762750011152550002310 ~2000
7627559332288267799111 ~2003
762811979152562395910 ~2000
762830951152566190310 ~2000
762833471152566694310 ~2000
7628391731220542676911 ~2003
762879503152575900710 ~2000
762902303152580460710 ~2000
762913559152582711910 ~2000
7630047413662422756911 ~2004
Exponent Prime Factor Digits Year
763012031152602406310 ~2000
763047179152609435910 ~2000
763056923152611384710 ~2000
7630575671373503620711 ~2003
763067351610453880910 ~2002
763068731152613746310 ~2000
763077671152615534310 ~2000
763098923152619784710 ~2000
763115879610492703310 ~2002
763128659152625731910 ~2000
763130111152626022310 ~2000
763134551152626910310 ~2000
763150439152630087910 ~2000
7631630293663182539311 ~2004
763183103152636620710 ~2000
763194563152638912710 ~2000
763198343152639668710 ~2000
763202579152640515910 ~2000
763213823152642764710 ~2000
763215701457929420710 ~2002
763228391152645678310 ~2000
763244927610595941710 ~2002
763264091152652818310 ~2000
763267163152653432710 ~2000
763305923152661184710 ~2000
Exponent Prime Factor Digits Year
763312181457987308710 ~2002
763323971152664794310 ~2000
76333080112213292816112 ~2005
7633313332289993999111 ~2003
763331819152666363910 ~2000
763336417458001850310 ~2002
7633557071221369131311 ~2003
763374719152674943910 ~2000
7633766413053506564111 ~2004
76338582714198976382312 ~2005
763393859152678771910 ~2000
763431083152686216710 ~2000
763463579152692715910 ~2000
763465091152693018310 ~2000
763514099152702819910 ~2000
763517801610814240910 ~2002
763559123152711824710 ~2000
763586123152717224710 ~2000
763589243152717848710 ~2000
763595291152719058310 ~2000
7636172891832681493711 ~2003
763635011152727002310 ~2000
763642283152728456710 ~2000
763643603152728720710 ~2000
763645859152729171910 ~2000
Exponent Prime Factor Digits Year
763647719152729543910 ~2000
763650263152730052710 ~2000
763673759152734751910 ~2000
763702799152740559910 ~2000
763740779152748155910 ~2000
7637422811221987649711 ~2003
763766413458259847910 ~2002
7637687572902321276711 ~2004
763768991152753798310 ~2000
763773911152754782310 ~2000
7637997131833119311311 ~2003
763829219152765843910 ~2000
763836323152767264710 ~2000
763851383152770276710 ~2000
763872337458323402310 ~2002
763897829611118263310 ~2002
763901417458340850310 ~2002
763905629611124503310 ~2002
763925579152785115910 ~2000
763948043152789608710 ~2000
763995803152799160710 ~2000
764029811152805962310 ~2000
764040923152808184710 ~2000
7640795771222527323311 ~2003
764087327611269861710 ~2002
3589
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25-11-02