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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 #1100000004814382987 5,051 digits created 2023-10-24

Value

23039771928939065233495151962382174805847362968116161860703218614678244978745883207228947804711384572904459281840562021353169458811674708973660728620857276487313621519536745847596496263132188627965653745038288705650358594847804266337545840478045177000374760522369360474661796921757883196611889739062036130242264107853169238259599185776976504032351738658571554303029128832405511667451807734686533470558107757602134793398863958800257290865383639885536087807861255284748136374125544914212573040635537571083069484811985836101347967949663140655917065633137285284644908857999981125002345931687257213292113556814152498819455075621190175988014425534738492899018043267912542825615379700755274442939265980978464258102806892602788404783657754084476781525173198047816151274185541817567848896902110651026563977043501294985216184162975873164293346240048281478186095461277850777942941012931127591302110136535836149111696359251279683671281889467576369737653201994007917512885402430418518679969272490452056575758458458170721905471222807339517259433610474172278284168611432781840669650743137349140758482092639976947646861616189079572727401406244863443172486200893913017582096436783190118019482896843958409897803161904112646086866461317207591877639924168964373033767821629123313605121547964433468229494762210490689810862833299122540532524737865263036185476136648030997337349166416403957517409401912792306308148739860885562836660848058954120785399733144268613055258417824577804819536903221447220198296261151140577137153062138827386041691867935580737076773553064429226339647011583926389410919871429650793232831707348884716207477852236702339570257874093769086838768103585007360683495536158616223349960159855706046103168424419746640373774671088040482213937666204407526467514154324170718446228054129502260978029888772770594967737774587538637444280708266884506036023647022671703797974937678931464405428149333905870918249277241947487468181134879397383676082825137132317208198591222109519488343285151031514469633606100047918780313911638061455250553683216292623394374239337795084815543168856679693601966103647121152440223615482266811965458714724317373660296403577107004006634807020163098053482480983269461421699034798381106462156348330636866143030098100000161121067465815903764754520228520805344676560559353026876665166013264839434741082992633977821499971631944513347547540583758951714730118792112889659986223816189967339292898171435828763693583554268893127255791531508064560715781593308707682728093354752406794292355212605141298834072260685530119523662763879193296773298223271450427238995370161974627514513681994448774879985975724696910650510585973478938716223650088664464426881928352246430492530944290616009813214573410301504499171171068896868098079378822848227382183346918249678880960750515379787750569273625266112673681653130926063387478316286597358463013545613843484581633282804948511792380899290609195619282428601968056326144604838341632429322340931610474347910681773486944236086289990121515488899887337165627645291709294078379493807103048120202288530243892471581383117358253826089471180685292822369809191280236442645171671718570666133798682151474799066977924575875300621621885353271052161595933723634833840397979251184986392819164355282575010285675445102939375959522897603917361513511650903862550837235415215895415609842798432098249686261620146060501616752820813158508899551610672788888334479419012205025221316252061469915282825552438168805899336024055165329040964962446292379519188964070636722413691103430217166266106957546104668773723516106838541320292185540140783493180922671987442813876440133461335122218151441545853937610600692273148589408306375295370862977990657938306546192821061044162965141166633652851803700504617419288056694870187923411433468638404941357027073677243279524656792010298688153643816814720737138983652621870508785531029143665244202645044222989699818640094995486754370208774568117655614822292109638280224216494959977292254224222285736227405849453185248854116922395112881100224374894793976602670601752319728257401303062682400380730308868078409132807499191862917324179602997173372500218422238474518014574893069980006914765960623475174358171457362110684068674669465723392550417677820404406810915325611742931205796108531511489266977815230641492073467437062237091905245248643064459995138939769953554598247298904946111429769460663651729459685902988106960918358527391477683032730913604657380809304496128446012772520839850539775787505794054760764479708976456896948567094618514360322625897450128731813160723745143689130317997087424182480838310480581777137504531677668583432980174895166384142612540177455209759549060874505595062606459172235363846188173602674235371663219950778300241000198945887883363975229303666105345021892390096287977705175007702009920720285528104393037690535436594321053053176013565540124655728876579082857375776012543605534606113336789856859459364602044242406705587194204032499083889187137029596265766120105375720088491599822629545819735969469946395497566836419722652314806860247511166381806162934463583604219344469598799157530768076076927
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 5,754-digit prime (776 intermediate primes).

Certified number5,754-digit prime
Certificatedownload
Certificate chainshow step 89 of 776

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814382987 --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":1100000004814382987},"decimal":true,"detail":2}}'