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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
761057651152211530310 ~2000
761081543152216308710 ~2000
761127491608901992910 ~2002
761142971152228594310 ~2000
761148491152229698310 ~2000
761151317456690790310 ~2002
761166541456699924710 ~2002
761176739152235347910 ~2000
761191283152238256710 ~2000
761195711608956568910 ~2002
761231453456738871910 ~2002
761280083152256016710 ~2000
761285387609028309710 ~2002
761300591152260118310 ~2000
761315543152263108710 ~2000
7613248972893034608711 ~2003
761344151152268830310 ~2000
761355641609084512910 ~2002
7613771513197784034311 ~2004
761390303152278060710 ~2000
761393663152278732710 ~2000
761397779152279555910 ~2000
761427371152285474310 ~2000
761432891152286578310 ~2000
7614448431979756591911 ~2003
Exponent Prime Factor Digits Year
761453879152290775910 ~2000
761477471152295494310 ~2000
761486723152297344710 ~2000
761488691152297738310 ~2000
761497199152299439910 ~2000
761507947761507947110 ~2002
7615546991370798458311 ~2003
761564651152312930310 ~2000
761578943152315788710 ~2000
761599271152319854310 ~2000
7616977571218716411311 ~2003
761725631152345126310 ~2000
7617354532437553449711 ~2003
761749031152349806310 ~2000
761761523152352304710 ~2000
7617676071371181692711 ~2003
761769277457061566310 ~2002
761809201457085520710 ~2002
761830211152366042310 ~2000
761847221609477776910 ~2002
761859781457115868710 ~2002
761864357457118614310 ~2002
761919443152383888710 ~2000
761936291152387258310 ~2000
761957879152391575910 ~2000
Exponent Prime Factor Digits Year
7619945472590781459911 ~2003
762016103152403220710 ~2000
7620254993200507095911 ~2004
762075551152415110310 ~2000
762080339152416067910 ~2000
762108311152421662310 ~2000
762116711152423342310 ~2000
762138017457282810310 ~2002
762143321457285992710 ~2002
762190739152438147910 ~2000
762219911152443982310 ~2000
762240599152448119910 ~2000
762244211152448842310 ~2000
7622678873811339435111 ~2004
762297923152459584710 ~2000
762345659152469131910 ~2000
762355081457413048710 ~2002
762369911152473982310 ~2000
7624526091067433652711 ~2002
762470939152494187910 ~2000
762487571152497514310 ~2000
762493463152498692710 ~2000
762499883152499976710 ~2000
762530519152506103910 ~2000
7625621531830149167311 ~2003
Exponent Prime Factor Digits Year
762603563152520712710 ~2000
762621701610097360910 ~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
763012031152602406310 ~2000
763047179152609435910 ~2000
763056923152611384710 ~2000
7630575671373503620711 ~2003
763067351610453880910 ~2002
3372
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25-05-04