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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004814010393 5,911 digits created 2023-10-24

Value

2885894638783935799237498110963546302287039223840957863339158600445917801813296907667807817372729169660453453624561601196823550769447012883180508091197787036196780455351747708309439520823402775179805230348976837975610702464633235293503848280138542540632030319504141605880744976914149613183873725179257675972467834705273357047633022462734642085895375460129432361491866438781670327010812113817987768109347020465636957019740971164005281360962732304302108659184028651071213066564321358228248584465220713119525462538861017812745281060018486478081720353125847048318568048219949091176114137573359835959529691606130333283023582840295614828858615027602359906565704652198081315493781465949641501871663320305566763416394587514858111814991666996056789661760149466886336035993583617464450593651361518430790385046796010341673645271071219044531359282369182448862040937243371895828740015114277850401917631380986936913707130488294519322422572769134902109363504817297768062862341356880478300038777267213653770120999900817601207068719106917922031837753335346165266686973827736941219760161876563196144653849753224441918964650361259526361401151083512653454031727267715914440768617055425510497755181206173155946296975210466434132921336269289638827546045758535457433113832908282032322266299651471772474489041695481838285026675326379383925707806108766073648558179780748642021723087085682897173340335618178932533376874543871091568283682657559857415839211718124612905941035787187121848837207505762069317100418784234876586056778198196981662192804971451503533104707104191139126096766241591339746865129747457346225990212152555083492337494196604847198359270377620720875391760986296414679374625843642983495177946288279376179454320723953271870559699961626779869709593697563210413241981602312883102878477131427167356148586145260174398499614400688353481494467756770407773223192161969710020782200867044421452546166753983121730528561992236447803888797680024659916777755935515718937893857624415621298224617590334911936760509721441759084100368980822532197497468678158622691949003873193837786064839743329357244042252464901243666904832285334505714155250017555548931005010574140913488364369953775434668634734277257308456555156529001383428550215966131455110713363242904420872126926419114823679782101243364148752513739530444886174023426948620916022555757828535791263318187102485486628951147593457729250838562379485835414187601611218034894458350553154852813378435900531867220329574775894338781988842207519608644466471937182359328320840477053843388507317281042947255619843392564648693648358358614769920308088757279776249944836195200113622958282422498715855038882393117714309656342001543036225898759347451237810174373072990340897675451216620353577834079494976122918257365023041056385664392178829444789410113929454042270343858894501986947521238242111994676190912884154346569465229582155768899097138578275544403762471083953557422686742320296139302847039620453344483309948993542639240411935916111373329564323637129914785141012917396126090009562413592354295514070649886774810567977328222626457878993761115221857529931771791145638916476244533137186206812375670106311726607307998020834913752996235959315242835760542550036434500193120542327131410789711175311081020163534465026905554670921862105493056971434374616515576340483671073348430570092066242864596449555111051960019179049954840602952993933136042734958535972894328027749185551977322493423259325829854383497851669816155931379645446662424429053307797886163705910755130776962194224437232900215795048636517656623526075507192950603942749222790852374739397059143471384533120169080614975415920853055687727156514922141782468851740327369251293142621482620535551617696951450003849933563221000495364221638376114908265774295574553504719043522518071103010453291105580034575511959829776291679173428991580917079036477213618868007776501775263466864428193187121170864060472129246793247068293848673465056432220660097756727959739637414083268046713633769811904643870494656145154625068387905646776837537847747978284990692984328387523879824546581311981605627413480541731946306353562773544121874410717308037450890456922345679288964909316443615609762644783380942065980318689475673542531425257480615465960214182832998955113168954807543206632740992589693093543954402236962755978354034260276668745650066723192969526558951042867741040360685749246100734708809431323571120173715232463273666466354187451753402756217940548555440161971669241250933402066845694024109929608274774813876986079475428080284586739303033019458233680199001913178999651437663095068039449361295709206026510676255792012731400881062278321924834673213380102859742842324424749792430961048608922143713702567886355510177562151934269938504156914657891098263334575591762529966193860640904001045468320995493683115962885417891856983249106936701154919586532739482973211937129866104898948008071442853427496006479751265879263017120201942915992521842217757624611113810074068959843494634781781255571766315426234037109500232399176175969318657272142957202088196261786060098940007356881800431021477056398064041196946356633215611910593559549234445395653352558982345915539648297427452754303830207971153774775250341728846883497829482812697498780978337364104443211602060748841863029913372040870102570480818187748899575273016302826200979472683150892564038262116851991026536438429312697519577185612755827999659763048275327420437768320552970875794845971642804069274154980088065498210968796309283867683800120375446903583149520298025558514581916602996179903290776256874637605962190498892834133055344566571715351941140643588728113835258603732712986598026122011038668627866589447822021377296487344440261209341374845141780467712232340538710048084721732299785138513517165459937759118996016833536114999341019135742830936424386018006745467407122818382296707482752353896410931736933091660363194673719404408772188051470871591125190727884470813489989518589504930012030379207389843391688447998880776486347
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 7 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814010393 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004814010393},"decimal":true,"detail":2}}'