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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 #1100000004813540553 5,638 digits created 2023-10-24

Value

9477065967570254986456078134940595518060543396163027205143149049388525867392250986383553691248502891104464984993723143846794015240454358866508375991625150379107755041062787441729025721098808408793500717439611316308782705253521275321315913712785693881311737166761538152309738243137453963018058844593851884029986957607622691017112298847798345128892319538063783901420417212824394670851743747872125295067328347664902277036225879910760948162977342709432560083595702593426628771661326530584158057659382101829411685403966555758207161360198394668821170050543062361371391876534328835952435724821723658892986967259907671414504986333549546840471017472663746538867804007108166779488358384166450902203246103470360942341448163612111700433009689676190580132627691034861109653200021695330641782384528109440131809149425289644419748399738166393501412182549343581316923746779961527392720358270303697517239799607828668166084464828260518496999155349827648552238725569961344431537489451754063289273678055677099105539045841498585026156534700124059414859231598083545295175870579247346667735663306423166206664165098919954970010733065856169140627237501357836141407909511460080055807451635015026964383411666614802081981083940271559364432313054928351919746143385132480984254877349573496863207649386075646303343399749343889613686471819597737781164818748136723462332298542702580299217699873905620929255994837851120188101400634352985763198542997213271158158276888842869614339828986834626468404080831268361238311065190527122014852891955127312693267759140203203716334393163734987323559468578663411178750811856850993225428737812308400744441164740869737475875549214419355421689977410976372380021357400868405203748666564416277915040972332076814725878232834064148735598027278031695151672793989769767950784122942847381714660647627439246563444487620499218538991916017616396390347309026424067162477355746084271782615121922165638032183999920076848905667990105666152242691187132600671527016244081977165213380301454644951320445310338046412261616489000461182295111324895838519798448465470160479669962232548169736722732899188926166038317990598211567936523078950957210909518642321862837656520205679985725810180953990753813644543261255643424661042179227897648142293580263654921776271315889345929417816856780593454042639510286842983749243157805351518601324300263188295687031246180805098566576857510643919493697846140679898015681849045184653093765777237172753680545088235961913664631906882591912423268769533448944950856372520701462724399880532328191467283855860529069071624084083287440827202404808520321588382068612337451507874300418012578034059196680198662425739850883401456069508964765730009611985411064651313175774612073643108338198725756063164585015427579590177520078384876132076934568631685163475785223630948366314421075994551207885566644042171851672384007049671184527719060480975431957119677676544174258720804186932889891889686729500776301277158067690769109669807341397809720331677466835745191684628390652020236888505730371495508416114838570938128253809702916296423604695161591660492214194340051568656126923543805678965230083918337532623660585010712937821970372478359203007415532134167534048379856282019094969910094869978326619502394054683505920627530261738734390238702632081510797058606336712978085997824039110638968734276533947293595809928057998231401866289449806830947759032021653270423583959591837529392572542544148977616655906084160949383159459944261654075218797432127345149322167142472928892462545110200387225675948510900456743859788107813730821584607767600267410216706289751079966858135286481791345076352038229613239995720710435231961409291958443656041140212492121672908753628827614603757783285123714465204116965281584438421232008346650663623108129357942340376625671507861513951023517498486393872589751770634643105110613950698619240396096527567825994029671150575773080724345134081789496958282356922446037467536085800064646157944647724863740979190921594915800469211905804787971352394328949749681969825551809591490074809506084330734441761561887337632466211354246525884672741273870544853250744938057076859374123338088850205162765849557351427367306469163352658328366655022590913501582363634791722571300737189330553685487226701309251603592557844480563816585494826381830791798733224615802972652795460417847750980691003104893715156351134958294447763482399037156493299020157243654771183445261309532706416269057841116321406515966694617515315575649896830511950963591546819955295144893034944802073862293369574408706392206349812860028283233397402672904395780407407671964627851484511452219191216492619579412587740551088938515933229610768026241248617533418372533195564848468316209092382060006530722522396220005684452933584877075787796113790532949893441479645781253448979200995887068368536627537818939739117979599084218698409263213080176063826643633694407464551800275348088394843480539047039668290002944611436787753294606670713576417537475054967648109331977134639980265685162796703480841106155932974736667943392579199260960606358858067405543569555451918133869591421744722591055559019185653843156872046247191212493239509142678072958259658566143127364030337539469561710651854959302647858184567267406010998284144073575598779885243940681183658400296729332865847858316027359301312265553255226074510158438639253659420558834056713961248556555647012081744389535842396999185904585108430259264731334317159958025430127344148446131641097132370141297573050335903243296311712858720941515421320034737411608590563610222055436620146067499715779870909383540719764689566235093937408739554679742948149778154290927522090739112145497675347158034351383511963475646295455750906938799882539404059234648799136207813
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 62 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813540553 --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":1100000004813540553},"decimal":true,"detail":2}}'