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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
2500680235001360479 ~1997
2500759795001519599 ~1997
250082117200065693710 ~1998
2500821371150377830311 ~2000
250084643600203143310 ~1999
250085057150051034310 ~1998
2500900195001800399 ~1997
2500902715001805439 ~1997
2501060334351844974311 ~2001
2501061235002122479 ~1997
2501192515002385039 ~1997
2501270995002541999 ~1997
250127653400204244910 ~1999
250129001150077400710 ~1998
250131887200105509710 ~1998
2501319674652454586311 ~2001
2501332691800959536911 ~2000
2501340115002680239 ~1997
2501352835002705679 ~1997
2501376235002752479 ~1997
2501631835003263679 ~1997
2501644195003288399 ~1997
2501708035003416079 ~1997
2501722315003444639 ~1997
2501722915003445839 ~1997
Exponent Prime Factor Digits Year
250174217150104530310 ~1998
2501816995003633999 ~1997
2501820715003641439 ~1997
250192259200153807310 ~1998
2502030715004061439 ~1997
2502066835004133679 ~1997
250219633150131779910 ~1998
2502213715004427439 ~1997
2502338395004676799 ~1997
2502344035004688079 ~1997
250240853150144511910 ~1998
2502447235004894479 ~1997
2502467515004935039 ~1997
2502542395005084799 ~1997
2502584995005169999 ~1997
250261159250261159110 ~1998
2502707995005415999 ~1997
250273613150164167910 ~1998
2502788515005577039 ~1997
250282049350394868710 ~1999
2502834715005669439 ~1997
250283597150170158310 ~1998
250299113600717871310 ~1999
2503047835006095679 ~1997
250306843250306843110 ~1998
Exponent Prime Factor Digits Year
250308937150185362310 ~1998
250310651200248520910 ~1998
2503144195006288399 ~1997
2503340995006681999 ~1997
250334407400535051310 ~1999
2503388995006777999 ~1997
2503449115006898239 ~1997
2503486435006972879 ~1997
2503508515007017039 ~1997
2503526995007053999 ~1997
250354061150212436710 ~1998
2503632595007265199 ~1997
2503655395007310799 ~1997
2503661395007322799 ~1997
250366517150219910310 ~1998
250368851200295080910 ~1998
2503703035007406079 ~1997
250376579200301263310 ~1998
250377761150226656710 ~1998
2503811995007623999 ~1997
250385713150231427910 ~1998
2503893835007787679 ~1997
250392533350549546310 ~1999
250409557150245734310 ~1998
250409741200327792910 ~1998
Exponent Prime Factor Digits Year
250411171250411171110 ~1998
2504128195008256399 ~1997
2504130115008260239 ~1997
2504187715008375439 ~1997
2504194795008389599 ~1997
250429661751288983110 ~1999
2504385115008770239 ~1997
250440947200352757710 ~1998
2504466715008933439 ~1997
2504541595009083199 ~1997
2504580235009160479 ~1997
250458107450824592710 ~1999
2504586235009172479 ~1997
250460633150276379910 ~1998
250466327651212450310 ~1999
2504703835009407679 ~1997
250470461200376368910 ~1998
2504732635009465279 ~1997
2504874531553022208711 ~2000
250490497150294298310 ~1998
2505007915010015839 ~1997
2505115315010230639 ~1997
2505269995010539999 ~1997
2505320035010640079 ~1997
2505379795010759599 ~1997
2941
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25-07-08