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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 #1100000004815173219 4,831 digits created 2023-10-24

Value

1162889917757153426961349848814906151197620419158072034864478216287697602123841599468329489739175133836216651024920268637586217102235206472040620867949664373375222220564618884552614389194939172145627761504904671809680964717304628716092686590694878779957521185245393258052218676415207574728539145420213383123729420445581255192971670198813854224089840715940399065939759807844865446737457734102337083449343438123999961208807230876222792667661062824545393959496956845504402352967697290621386545223424937164479238042696226665143008654926743077120980612163205405730898732774833707898670805322655428564673903673144138763586225557820538714350603620402557582061801437556462125282230964042749364369323505819576210783749928692683039293270286926426703777885233002908085979516853843138296339390202754613062284992325543821047498472898824192258990734119614331393655114434027149321743915577475941122391615756850299412667643421138064433934965643429044766900737468373266254319865509927063677495591424229828024591247588946759424529472121429842833624069254242187129616169869867612268580862856093034902108333971198243433891677173245557440513203510333620392514274260092341062781272565374169124169675009627417071084425610434561550739040859939885138762182109673713894101725151857573632391945570107729043250491111469140235194827998694657351806882195687949968164770887215433889443923948437362108027788400670047959836409079571424471628472784579141922432517388090646081713634467370731197096279314551762771850869124848578744117503529741642419561195384591050179719896134130329709635061695295819491461177368818024857956294785966746918739647243572108454681184679300156464225134755302743439872066026400884546890418783196805924906724078780446650672656248629228681284894611294468458493208324453778630843703471908638696524603098912175317902370799847475678277920977888840015211694919799030652024604890556488989740296381943135768401364213270885549276187629393074925288526868860191286838186593264481330916933352012503740611237006348222410343487115662008976807962528236179111325051858334109607378663213653145589918713044244918347905455660576291832067962822798344702471520776908160357962799213298160561080424916413455195387650056958947415089928271786476037069207002643870018030187788581236316475342781076194102977803800460759773884590812928876304518802046341235295177661934536548977220980199056504022420344241463100590453277120355001428320071659453970197049018885395747971589658218580128048098430193013738452731746384439346433503373288076172962649135764823465836517574298444134290779359336313794064222059616727363471282617185517530904263355580487858752117280290829975332265340700155287623426141231631547965246467364050389113098953811428553245622174173452598421856763382442564902897834940988029684492828357115886301950181931398592135599477999974717311787540780127139122810364038442118023397069126971165822243052150712187932593020613750669404986867891849374715201761540316830411419087937487931117313173186376221395617765402713466443807057277091643215417654356529256748191923068259974035279139604151342409984405216004722340657077741852515535260184746642711687552364981623860783206671289875480735633611480001866739548207682045197475399027427301781252273122507108491518432030433067477531219030353702356300936943333285232025094688741032178797347272971290013659386219683305998884289536157427603903311194646673433378513710372272739325173982833369675159098800095688240758632789153471886610276257355388091883705305428945671204111437218522940565168538077404314986024866190541942620720269803372315130415335636968026530267665908683496232314780254739622938918672507043070484695222146744909939181585822259205843458715928129631285067483080432662877909204419906915107876766701629175655146874564934872497918753204652066255735225754272755236573136253751376548490226742973425759631718708728726558461829559780827234504639872417916356916201308299045312146884690743844404181459412549612484351177796258384391421580515429659638140809614730775242166762355800984609242170583620566586442690621064597938138536838897263224954410573217173635426143571148543259513059469818229405718557109328699359243253955579969286456615622247203405324020497069517059802724342590268458517066887160696267128229418727962428334805973546526445455802628580287843688226442081965760655100133998924621606642370425055774493771861961440365857056411404096889219943029062815341987896198649313278992242443424698352007047637839623401120704336585053435742874731514214622373640862036656911348919616964395261126937616557749395738952671503226825654147879839000803586964793198269158009317898135713581277335843691897289137058857994442629955032313666595160072094678206839569602256756713264337397529975059037795875495636149923340028018976633918344086437620664820674377057086961332049535487624719363037598868012046127104567807280530729701973571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 69 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173219 --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":1100000004815173219},"decimal":true,"detail":2}}'