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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 #1100000004818442168 4,760 digits created 2023-10-24

Value

12989873696117297032065198944214428602734142338063741509218882128125889187618859733921840949643364299079993363261292479134318660983948304552814123812426971881544755184183488489776530239209691637160944855825662006580723156953259192600401555720178439577978555453368084100095705786558025985483651200359015145892651770672200835369806066439450282104315113275962213213621202648872345057773586546503435425183238922639635283810950908272011717707162164428405221528273343814884599643112772986874907809659128613422153748725258591431384462647840996384805364801413214390147412239538733452878775044859594069685894295755940334810279019431037801669742541416847896838077382856369005280772101977266650544011939719440247176977288575932192234164212659909998072804433128769510231020223151042876935039805731285121948603607247673399399729383533254685167657684823505209821784316249353684018133566695237045895918196537425233235018155542699517690247010885446371594137371858004781965034721846754663104339438406562604161980447306324972195645573200777087635826367173236338688709854450169474130257467514645671061773846143322524100491645879311307215830064481937604476792111963704429721148908383489182037278507289809488728537633084561810256839974663235582035581910296380452759831515519539656801737514278270996415847872857656939706627490086711786330943012328289797601476718563974070458050662959845470242925581501792648813937232651361121462319760978468742879749290565110925891123356096872080061228140095894396793772767545763141719169619148977213282639998534442933255126759169505263247396058191127379274691870878942691432130523671702483344961583685952593610220395676072393044744639296741504447645522840132741399577593421765101908686537266372216021581365250826409678276071651793433187312642889283557363498986302310224305481741996462348295529165078308083082625002999354526394840578926048911262131522998540131403265483750200974487553087364660539686274409172021421675280020153690783340016887657707071488518779605212640283251085120491280601064019529626188718098609958539727184088616846361967634020048530924797718859375206598994953825009449011812300458561731773331086454368261459528425028451550948368883780521038989162400104314528978528396327164147244430457482728775380552996757080621460207392740635793877538851080813237994859253393077497648665197677866929530896223217802305493074623714860523469626413228429369937252812274016696583588257937610094921057634780947843515955678310333518315205110627554135974269251969023959455325776121944523345811457581120920059676409692720097474099537599123807857127191562192407824809545178471431537269739395249409401960618888312478968860207939606750062112591716268689052412079664186537242113760445598768582524602997601324683645324155467007332643629415916807894310056913215338582942537087157474802596951394670854290695049700239085161016105213909904164697164046751362212834636478226458258680343184188029318661261366097785597425479632464505132868532154642908179592581464231419677799640311034970264835635818853740543929269475240715703035538181395758908235474359526589981446119892701215067556295779817071830900522393563186333802313989474728711069894114793680467724564877434027059178260481682914662849552380306006308055271481432940159908776367473158792773030564772306397684710561076465128236428859088196239670415838090423469131249166810307895118727469414500495051471367504195964938905996027200616892694640046115153594716567926853711184948565324959178165774591902648435562164320548563206434138412620270515532565489834734134137232099722560806384926633293154664241959134584027463638197427862730361985011141624433912254104690568661611887696988862532148259674200506252884359708984417261825888796046061524998414664035299931306215151353815370375610490246317580295166523541071486891373330996151573946171654842801778832495197370562030977821242954414422302545776806724442010529623814221301391970310552754320266871250385254533903874265623183212434673596712362113391157497244837791194642310879110720154633955300576714346559958128821346174972898833222149764300534613404838154903492796687499370763938836721933431957227496689868658825720027984106101685648470771187665903222041356904073940650246153756860978566893572150735121369247041369636589462955806222035304300125323481932602505447811926960605065666793720278614577802726241519955062005869875393965405089985373245186499542600246277987585268707940936841597392455206113196214565182472235308911124157653832321682339752584526855587021230917918418450794287126406171267443951269559001426571640774472957290405294159714178825781541877295457501492441294218005742217926414848383782026785798730276921080220985415119449122853348072310736683420610330552904469055292122725872740609354310657506547695957869152207058296382142883434466700901887354039117691
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 5,094-digit prime (525 intermediate primes).

Certified number5,094-digit prime
Certificatedownload
Certificate chainshow step 32 of 525

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818442168 --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":1100000004818442168},"decimal":true,"detail":2}}'