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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 #1100000004822389093 4,242 digits created 2023-10-24

Value

926464594761368910317255440998873604656673411947723135860746125229289220148599470448980341576960112052528765682429370970976946318976365112172805091482814402204110650010912238210769602079094148464735168921124567266989723668799806406354769294722690777870166839710500247658990454342317926138649871330288196719169707255427631782155403304179603191115188610840638926016216582412612304544354707228807501997474770785144533555119708661563083015214999493896360251226508780701828357649532081676892150227755937751808055330531213173156310272834324335288780994567111819817257198361900669504927909009239667894570152597675954074462429120370104876699223326521712334921848905358980831614258890449381659287559581854833850743220810895516772713549512091995907214017076878746229015455884686863786494735969645435948606738907001185139233430578505774476434539772335018736688805799163311694883271214786666914363915475844592805731108509753115371469836243651350848592935944561242595319087314505159156688645430076111067040590724196929954927858262105710700392871065172409482690531743822753250539540360732977568276549909078563314640375924899858892976513192810897449637159515456460583295587443502824579840027355560909302131743144405082666621126429396361731884004882194339563412481705503348760974076377157676259658138344837030028906913310927277603627317508078300909814430567227796257383760306130367491674537234373059509893864247958527434963985393399512180581690170881800580201311662660528434425913496156435707421155921757614554450377646907265606814965611209018377623097972281810184477497706462382163385808490381146887419494936750747388673937869091120399227190086719471797520727820310125765874719680002863433571414197181549918055208314362263964602186122996648077868377218195006659069134759081729951725852860856190778191631463839533955668145038845738904416007148707079504466337880777108406036145681776494219387113687859678330503646770191533281124201006675795088115849311719645198596662071128789418096449481236614533566433036489487621217788160875314805653467199444449084459734972428973200954902114417891569290688673622392248931158133105592564593749408746734005381629843494405590018296615426568382420532833889010936329948163482238461123024118497141194929247266411158970958874204124276212229395814152252631453983007168649454942914297389641538702230972321337663531920134850503594464831633556745748704515507689085983158742325296508649843138988166244476924644907138703799207399782340224858321618936679347820255638176285993579367225459799734630765855955130129630453797204034756951163160175221214761818027326182945855719873859497968087818312578321631838054837920308789810420432973687455951581859351275154483992766682773957931433111410332320389090792144558651205013712066994830121363458498698780641316208167910518455346434244726897867527318209500641242251230632235422581397567788652187041799162461807880319103700038014300231088910321854049915103964492021236417713517206625532094705225756241304322692050663626910192088560991042672070822273643275743864905202722467497777193450800261498524475889452355875606306235794164053775085154141712060741851223495379587128312359355468564378490876818688438193783522677560119339347075087694123488908695994495595249621491806977711312982776837148182730516849919989511312837387600789502938977538012821921259469798588590066058551178456646947708192105939033875595487152263767053392139252779877263091334780435930979174716713343952410726399374796544383919283578429345363484507962915589987174652768926967209274227078559369192139344757497487747493734996972352471066478117046451714583891651280197721554849853812565032671266129898809023046424689052176897840050435494487828522814218825050070831248763080269368592687673173184423722681876958225596140013875177098689264040351733975640992126320178942887113948831156723737543561703926102706756258162901888472773827874958502925272759081839063581469434386014229687086513967511291136762606431536450757711605080370385114064138826211039421361718819522748784734923507691448985692531554441789152084233601732688299494186872116511759825772210388466159570893583789268700644932492671787302435080655487404314196468734400653213227690257387858799708844271641985585287137985175042923497249610860193885473872547738241119343877082505113
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 4,651-digit prime (488 intermediate primes).

Certified number4,651-digit prime
Certificatedownload
Certificate chainshow step 43 of 488

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822389093 --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":1100000004822389093},"decimal":true,"detail":2}}'