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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
829486921497692152710 ~2002
829494299165898859910 ~2001
829517939165903587910 ~2001
829573933497744359910 ~2002
829586039165917207910 ~2001
829604617497762770310 ~2002
8296119291161456700711 ~2003
829625171165925034310 ~2001
829668659165933731910 ~2001
829677311165935462310 ~2001
829691741497815044710 ~2002
829748399165949679910 ~2001
829786043165957208710 ~2001
829793423165958684710 ~2001
8298120291161736840711 ~2003
829835473497901283910 ~2002
829842197663873757710 ~2002
829909079165981815910 ~2001
829916621663933296910 ~2002
829925963165985192710 ~2001
8299281536639425224111 ~2005
829934471663947576910 ~2002
829971563165994312710 ~2001
829980719165996143910 ~2001
830025083166005016710 ~2001
Exponent Prime Factor Digits Year
830043323166008664710 ~2001
830064971166012994310 ~2001
8300729931162102190311 ~2003
830074139166014827910 ~2001
830177353498106411910 ~2002
830203943166040788710 ~2001
830218463166043692710 ~2001
830247157498148294310 ~2002
830290991166058198310 ~2001
830303951166060790310 ~2001
830317619166063523910 ~2001
830317739166063547910 ~2001
830331923166066384710 ~2001
830338739166067747910 ~2001
830410541498246324710 ~2002
830413691166082738310 ~2001
830418311166083662310 ~2001
830455567830455567110 ~2002
830483789664387031310 ~2002
8305238179966285804111 ~2005
83053118912457967835112 ~2005
830546219166109243910 ~2001
830554433498332659910 ~2002
830572019166114403910 ~2001
830575289664460231310 ~2002
Exponent Prime Factor Digits Year
830575871166115174310 ~2001
8305780331993387279311 ~2003
8305809973820672586311 ~2004
830612669664490135310 ~2002
830616247830616247110 ~2002
830641859166128371910 ~2001
830652899166130579910 ~2001
830711411166142282310 ~2001
830718221498430932710 ~2002
830732951166146590310 ~2001
830736503166147300710 ~2001
830740643166148128710 ~2001
830740871166148174310 ~2001
830765753498459451910 ~2002
830794259166158851910 ~2001
830822231166164446310 ~2001
830824859664659887310 ~2002
830844137664675309710 ~2002
830851559166170311910 ~2001
830867711166173542310 ~2001
830880691830880691110 ~2002
830897737498538642310 ~2002
830922551166184510310 ~2001
830935799166187159910 ~2001
830943383166188676710 ~2001
Exponent Prime Factor Digits Year
830944811166188962310 ~2001
831036179166207235910 ~2001
831041363166208272710 ~2001
831065381498639228710 ~2002
8310696237978268380911 ~2005
831072491166214498310 ~2001
831138433498683059910 ~2002
831148919166229783910 ~2001
831194519166238903910 ~2001
831201659166240331910 ~2001
831206231166241246310 ~2001
831242003166248400710 ~2001
831245491831245491110 ~2002
831251699166250339910 ~2001
831313211166262642310 ~2001
831349643166269928710 ~2001
831411023166282204710 ~2001
831452003166290400710 ~2001
831459263166291852710 ~2001
831487961665190368910 ~2002
8314913471330386155311 ~2003
831492479166298495910 ~2001
831494399166298879910 ~2001
8315135231330421636911 ~2003
831528251166305650310 ~2001
3382
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25-04-13