factordbrpc · fdb
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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 #1100000004813850201 5,193 digits created 2023-10-24

Value

219484687940067823732869092584521621889697054434746986004935087348685215984047320199577234594951229373346768835335518250222722850400142690924444708587098792658434013024790855970781066676458345094549551966385580366966031716140555993536962985676419638044611458844275309795877404825194076412483945279066936241385228883995320168749588639715462399485598936048159431396730942589855061975458139480666223461023409542959605082566537537424786948329629783530858704745312689988249490702232806691010195858707917044143493903772037095638322392818437457397886134931151334200327425895820034589602105670317369405543314665134758580851253346239804076138728475563343290022729946448064021610939858387944034285970214120558263745620608788496877390610416823718814643330963633615512742043386711464707657866736074085827706112901016732693615115842151403286542598395008406908315020808863179725863538000589350108340646579003341608719978752023646378505947964452567369373023604284825242026960737057428865354249227765912426219099885066835054391149208307859017209888064271870462598766249556688837701798805961860746272664784690013931958709250250576008881055011003759916639439262445260090838488908472452916331377800581907999461594530287147625755133244004541630090618030323759729943274784102083196219045936828239012030006765507125594208542798727009451172949197294697058525168541602034676159031377957874220267335057172843417126795692820726367428301408435210605569208010811768886265821533418689499655554120862511274885795258135771059372615719860264120002073983202427099932507101759693364178011050099648952232416597167098771533603521447351603443642711551950515348239904562179120104685650713375766365108453927761637000537845196447565067017533112295314783882115080894943978572373762927587739947139116487290468633079123644480955768403914887137743550338143479510031232914919081213749032863070545107836418231327669277281065496735548692753545781348851131952180702519917042949675772708778710242093176227736930240436478447546521701155728299948558696312754104192261322107169847421792880746359755590363094477861099440903553468137098644591060307762088177633649798109832148032625438464901373224206747463430880150073481916385370282753637029873198653833592329982840133356486862924302799245993221764793944909076238553587509039602196213617502639115839364343079956774176371078640961217270060538678213429694887870198648133267487094801654816649033517871366120304910986657491383327288412204565306455615823693035844498084269154177445614746247621889607927591523337439076034926786293359559476488763276534765167704194640282030846657874444769037582701560849950633270771301475520290603476732982204313977926816345911950875222156017609932411684668918257482978668188555516853166370148425318004607346653941235850641587308066398505781996388229458114532828474701913793542049699052380154347559918850873401606277098924770140014408985746014110357036328310824968823006088030031880057877317248562601854275288960585103826446221047847345813607850333514847883263593462856715895153607155557010394668689373414195617557793864902471714281591701801831127136977483786026842818204688429853103198190788034730656145224844080780141186882899954968686066820102961402137560496074386215337263360133953109828501200327927975784791389286638839684853274592445768083193799743887745413446585182952433155312852479251007429143750297735353246496879548072300884654399197684824624014030501935275607330380227682727713404737625173407785010659323643118432986865233233721915925758935635177673914860025600563261666616026244618557455336654123862556658647738094368472520128133446472286348182864275585567738126608101891213330432673626069667077531149082657082585845776402957836930998461592239759191735855699987760741774473032092076811481551674148354145664517503962815029204761824260441507736091094496027215572382388168495715692046751353440545836972450821767653674081135048237419109033149783297950099570527770768868164135560163686792796875447661854384431807363263406650346560354698488342982987741721528177444194418121952367838389238967304515833640999510887666642641917922525821861064207746051788006438421318703292760859628779569830387397779704223481804713449616105529972914929477940532359903200364147389088349724591614969900853309940729790834077746279045377179373632321941259748770399255455031462351353481337490519464093789120467619685706497883161588824434478852992501481155488365347779549210457990529765137701824733008994903801647053050197358233049858035160388953080050234947340720675617281559656849167099266685159724428952497213367941886585164653380356477130882750087118042358331035239094694288789657881428416158288797575423965242881192555769963637351396152928523824037812627806715716577604506921170116200633980686444851123634704677658866014866630900584734616921243983260210569796651555436282086777962324414454005580162334175554774448572940020084567249214093308351799945523415121474010862249265590088187629047679615054826318475864434242266743344929762533928611422257826687257968818654893578326399696163870720417563484244438683002546828316762480229088508073570398091057099634983768906293493976539172364567247014561411220011910780661189266519348145758699422446080532552048856993518362217495791564999593307861
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 83 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813850201 --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":1100000004813850201},"decimal":true,"detail":2}}'