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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
687805991137561198310 ~2000
687831701412699020710 ~2001
687862691137572538310 ~2000
687871361412722816710 ~2001
687917159137583431910 ~2000
687924599550339679310 ~2001
687938411137587682310 ~2000
687951371137590274310 ~2000
6879558234953281925711 ~2004
6879646811100743489711 ~2002
688025111137605022310 ~2000
6880451032201744329711 ~2003
688054483688054483110 ~2002
688062971137612594310 ~2000
688149503137629900710 ~2000
68816791311423587355912 ~2005
688185923137637184710 ~2000
688193183137638636710 ~2000
688201991137640398310 ~2000
688235071688235071110 ~2002
6882371591238826886311 ~2002
6882908711238923567911 ~2002
688321031137664206310 ~2000
688322711137664542310 ~2000
6883432391652023773711 ~2003
Exponent Prime Factor Digits Year
688351661550681328910 ~2001
688351991137670398310 ~2000
688352531137670506310 ~2000
688358519137671703910 ~2000
6883637271789745690311 ~2003
688372523137674504710 ~2000
688383953963737534310 ~2002
688389203137677840710 ~2000
688402181550721744910 ~2001
688409759137681951910 ~2000
688411331137682266310 ~2000
688424171550739336910 ~2001
688438313413062987910 ~2001
688445881413067528710 ~2001
688453631137690726310 ~2000
688478363137695672710 ~2000
688499653413099791910 ~2001
688502231137700446310 ~2000
688512719137702543910 ~2000
688538951137707790310 ~2000
688554983137710996710 ~2000
688596719137719343910 ~2000
688619303137723860710 ~2000
688627193413176315910 ~2001
688632839137726567910 ~2000
Exponent Prime Factor Digits Year
6886719591239609526311 ~2002
688690993413214595910 ~2001
688691639137738327910 ~2000
688720063688720063110 ~2002
688742123137748424710 ~2000
688751891137750378310 ~2000
688763903137752780710 ~2000
688766759137753351910 ~2000
688793723137758744710 ~2000
688822391137764478310 ~2000
688837199137767439910 ~2000
688853057413311834310 ~2001
688862963137772592710 ~2000
688873271137774654310 ~2000
688881311137776262310 ~2000
688893011137778602310 ~2000
688896863137779372710 ~2000
688908127688908127110 ~2002
688928351137785670310 ~2000
6889321511102291441711 ~2002
688937737413362642310 ~2001
688942883137788576710 ~2000
688960763137792152710 ~2000
688968227551174581710 ~2001
688988701413393220710 ~2001
Exponent Prime Factor Digits Year
688991003137798200710 ~2000
688997279137799455910 ~2000
689035337413421202310 ~2001
689041697551233357710 ~2001
689047379137809475910 ~2000
689084699137816939910 ~2000
689085431137817086310 ~2000
689089721413453832710 ~2001
689097011137819402310 ~2000
689140801413484480710 ~2001
689140847551312677710 ~2001
689154299551323439310 ~2001
689162909551330327310 ~2001
689173997551339197710 ~2001
689194403137838880710 ~2000
689201603137840320710 ~2000
689228279137845655910 ~2000
689246111137849222310 ~2000
689262599137852519910 ~2000
689299703137859940710 ~2000
689300291137860058310 ~2000
689306461413583876710 ~2001
689309099551447279310 ~2001
689320031137864006310 ~2000
689322971137864594310 ~2000
3405
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25-07-08