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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 Dig. Year
82825510734969530643911 ~2010
82827428574969645714311 ~2010
82827884991656557699911 ~2008
82829899431656597988711 ~2008
82835562231656711244711 ~2008
82839531231656790624711 ~2008
82844141991656882839911 ~2008
82848810231656976204711 ~2008
82849310511656986210311 ~2008
82849624676627969973711 ~2010
82853389911657067798311 ~2008
82853894391657077887911 ~2008
82854155631657083112711 ~2008
82855874511657117490311 ~2008
82856637231657132744711 ~2008
82863982796629118623311 ~2010
82865492631657309852711 ~2008
828737675934806982387912 ~2012
828777358919890656613712 ~2011
82878653631657573072711 ~2008
82878698334972721899911 ~2010
82880671638288067163111 ~2010
82880797311657615946311 ~2008
82881837591657636751911 ~2008
82884317991657686359911 ~2008
Exponent Prime Factor Dig. Year
82886483996630918719311 ~2010
828883847311604373862312 ~2011
82888412991657768259911 ~2008
82889468991657789379911 ~2008
82889679591657793591911 ~2008
82890513414973430804711 ~2010
828933755914920807606312 ~2011
82898689038289868903111 ~2010
82901234631658024692711 ~2008
82903244031658064880711 ~2008
82908558231658171164711 ~2008
82910265591658205311911 ~2008
82916018031658320360711 ~2008
82917793191658355863911 ~2008
82922432031658448640711 ~2008
82923519111658470382311 ~2008
82924808511658496170311 ~2008
82930283511658605670311 ~2008
82930706991658614139911 ~2008
82934669991658693399911 ~2008
82938189831658763796711 ~2008
82938453591658769071911 ~2008
82938973791658779475911 ~2008
829419445711611872239912 ~2011
829483087731520357332712 ~2012
Exponent Prime Factor Dig. Year
82951793031659035860711 ~2008
82952883614977173016711 ~2010
82956434031659128680711 ~2008
82956490911659129818311 ~2008
82956501831659130036711 ~2008
829579157311614108202312 ~2011
82965525416637242032911 ~2010
82965581031659311620711 ~2008
82969339431659386788711 ~2008
82969954676637596373711 ~2010
82970833311659416666311 ~2008
82971512814978290768711 ~2010
82976181591659523631911 ~2008
82985751711659715034311 ~2008
82991168631659823372711 ~2008
829929588133197183524112 ~2012
829979875731539235276712 ~2012
83000068431660001368711 ~2008
83001025676640082053711 ~2010
830027835114940501031912 ~2011
83003204216640256336911 ~2010
83006792391660135847911 ~2008
83007476718300747671111 ~2010
83011582191660231643911 ~2008
83012679111660253582311 ~2008
Exponent Prime Factor Dig. Year
83013727334980823639911 ~2010
83013770991660275419911 ~2008
83016733431660334668711 ~2008
83017259511660345190311 ~2008
83019733311660394666311 ~2008
83022192831660443856711 ~2008
83029483431660589668711 ~2008
830325784721588470402312 ~2011
83039561031660791220711 ~2008
83039851911660797038311 ~2008
83040182631660803652711 ~2008
83041385876643310869711 ~2010
83049175574982950534311 ~2010
83050072191661001443911 ~2008
83052925038305292503111 ~2010
83056396376644511709711 ~2010
83059165791661183315911 ~2008
83060012991661200259911 ~2008
83061925191661238503911 ~2008
83061955191661239103911 ~2008
83061970374983718222311 ~2010
83065095591661301911911 ~2008
83068399911661367998311 ~2008
83068497438306849743111 ~2010
83070160791661403215911 ~2008
4424
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25-09-07