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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
4341244431389198217711 ~2001
4341423238682846479 ~1998
4341513598683027199 ~1998
434159857260495914310 ~2000
4341629998683259999 ~1998
434182787347346229710 ~2000
4342006318684012639 ~1998
434205173260523103910 ~2000
434220599347376479310 ~2000
434223277260533966310 ~2000
4342348612692256138311 ~2002
434256373260553823910 ~2000
434257001347405600910 ~2000
4342731118685462239 ~1998
4342829638685659279 ~1998
434285651347428520910 ~2000
434306507347445205710 ~2000
4343165398686330799 ~1998
434358061260614836710 ~2000
434367433260620459910 ~2000
434371181260622708710 ~2000
434382041347505632910 ~2000
434382119347505695310 ~2000
434384101260630460710 ~2000
4343882398687764799 ~1998
Exponent Prime Factor Digits Year
4343934238687868479 ~1998
4344016318688032639 ~1998
434403523695045636910 ~2001
4344249838688499679 ~1998
4344344638688689279 ~1998
4344394198688788399 ~1998
4344394318688788639 ~1998
434440297260664178310 ~2000
434447921260668752710 ~2000
434475241260685144710 ~2000
4344916198689832399 ~1998
434494513260696707910 ~2000
4345169638690339279 ~1998
4345266118690532239 ~1998
4345285798690571599 ~1998
434529671782153407910 ~2001
434541581347633264910 ~2000
434550547434550547110 ~2000
4345604998691209999 ~1998
434564059782215306310 ~2001
4345648131303694439111 ~2001
4345710238691420479 ~1998
4345771318691542639 ~1998
4345782118691564239 ~1998
434589643434589643110 ~2000
Exponent Prime Factor Digits Year
434604301260762580710 ~2000
4346466718692933439 ~1998
4346484718692969439 ~1998
4346654638693309279 ~1998
434667817260800690310 ~2000
4346834398693668799 ~1998
4346880718693761439 ~1998
4347006718694013439 ~1998
4347025198694050399 ~1998
4347123598694247199 ~1998
4347166198694332399 ~1998
4347325318694650639 ~1998
4347341038694682079 ~1998
434742569347794055310 ~2000
4347426118694852239 ~1998
43474467113998778406312 ~2004
4347550198695100399 ~1998
4347575518695151039 ~1998
4347696238695392479 ~1998
4347754318695508639 ~1998
4347761518695523039 ~1998
4347774118695548239 ~1998
4347836038695672079 ~1998
4347858118695716239 ~1998
4347937318695874639 ~1998
Exponent Prime Factor Digits Year
4348050718696101439 ~1998
4348131118696262239 ~1998
434813959434813959110 ~2000
4348205638696411279 ~1998
434822489608751484710 ~2001
4348281238696562479 ~1998
4348312918696625839 ~1998
4348413118696826239 ~1998
4348494838696989679 ~1998
4348623838697247679 ~1998
4348746838697493679 ~1998
434875109347900087310 ~2000
434881717260929030310 ~2000
4348856038697712079 ~1998
434892989608850184710 ~2001
4348975091304692527111 ~2001
4349085118698170239 ~1998
434911619782840914310 ~2001
4349183332348558998311 ~2002
4349279398698558799 ~1998
4349508718699017439 ~1998
434958233260974939910 ~2000
4349583718699167439 ~1998
4349619118699238239 ~1998
434963861347971088910 ~2000
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25-06-08