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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
344182247275345797710 ~1999
3441839516883679039 ~1998
344189309481865032710 ~2000
3441968996883937999 ~1998
3442101836884203679 ~1998
3442127636884255279 ~1998
3442214636884429279 ~1998
3442339796884679599 ~1998
3442361636884723279 ~1998
344237983550780772910 ~2000
344243777275395021710 ~1999
3442468916884937839 ~1998
344250301206550180710 ~1999
3442712996885425999 ~1998
344285653206571391910 ~1999
344293403826304167310 ~2000
3442936796885873599 ~1998
3443046596886093199 ~1998
344304971275443976910 ~1999
3443117036886234079 ~1998
3443219036886438079 ~1998
3443223836886447679 ~1998
3443233796886467599 ~1998
3443242196886484399 ~1998
3443399516886799039 ~1998
Exponent Prime Factor Digits Year
344354113206612467910 ~1999
344362547275490037710 ~1999
3443672396887344799 ~1998
3443683196887366399 ~1998
344369897206621938310 ~1999
3443712716887425439 ~1998
344385331344385331110 ~1999
3443860931584176027911 ~2001
344392847895421402310 ~2000
3443928836887857679 ~1998
344394731275515784910 ~1999
3443954516887909039 ~1998
3443955596887911199 ~1998
3444118436888236879 ~1998
344416817206650090310 ~1999
344417761206650656710 ~1999
344420113206652067910 ~1999
344421353206652811910 ~1999
3444290516888581039 ~1998
3444305636888611279 ~1998
344447801275558240910 ~1999
3444511436889022879 ~1998
3444512516889025039 ~1998
3444537236889074479 ~1998
3444634916889269839 ~1998
Exponent Prime Factor Digits Year
344474357275579485710 ~1999
344476663826743991310 ~2000
3444795116889590239 ~1998
3444827516889655039 ~1998
3444830036889660079 ~1998
3444840611653523492911 ~2001
344499893206699935910 ~1999
344508433206705059910 ~1999
3445095236890190479 ~1998
3445193036890386079 ~1998
3445205036890410079 ~1998
344533837206720302310 ~1999
344535679344535679110 ~1999
3445364636890729279 ~1998
3445409516890819039 ~1998
3445433996890867999 ~1998
344544773206726863910 ~1999
3445519196891038399 ~1998
3445544036891088079 ~1998
3445547516891095039 ~1998
344566111551305777710 ~2000
3445664516891329039 ~1998
3445781636891563279 ~1998
3445784396891568799 ~1998
344587361206752416710 ~1999
Exponent Prime Factor Digits Year
3445994996891989999 ~1998
3446005196892010399 ~1998
3446132996892265999 ~1998
3446160596892321199 ~1998
3446331116892662239 ~1998
3446364236892728479 ~1998
3446368796892737599 ~1998
344649533482509346310 ~2000
3446710916893421839 ~1998
3446738636893477279 ~1998
3446860916893721839 ~1998
344688677206813206310 ~1999
344695957206817574310 ~1999
3446977196893954399 ~1998
3447147596894295199 ~1998
3447263391654686427311 ~2001
3447343436894686879 ~1998
344735551344735551110 ~1999
344742763344742763110 ~1999
344759533551615252910 ~2000
344765921206859552710 ~1999
3447744596895489199 ~1998
344775239275820191310 ~1999
3447817196895634399 ~1998
3447821996895643999 ~1998
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25-11-02