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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 #1100000004814012018 5,166 digits created 2023-10-24

Value

145365058568631424485958440940415769298852203341474040467157136948266104454582730532479641724257411660115226834918755093022850908723016066140842915563468558744126331117555003544330983669872156389881788403353066202083165525047635328428257798547383130730312541676438521147513342463326634568136489496631610673778662628342306700816701666778053331289335013566060867296154813233222171685707651140840328634759173077956264713222512329055304775932025932829193936631784272960725415099970837340319247385598877342344731475768563557513153327227653163131333834540430493051120938101783431683360758654427699886882875398798063455240624542118263372103255054510586619718939443540197293467577355139338215802431008537122239125048488546007999456894790317238724785485018939760328015939745778809017015515934278725084653322306574067162331021259229302433737013445148680364306230415213398315641910309418908618998758023374497066348686123632132162431042380436706393545935189892930940198687664838188961574223187493203348293242573970260257363848734309138301564212695429370082631810911384532040006965495852302751354309784802454023072163346057995026511611088647627347807267414733951154620397141084461771681006312753550329264117192656131006808973738023573345163297956992482539874093872411826964724289358580949838596893925582259110413606308270453172702950546013026019747461536795825478761314340006188698691746589641392129033709294694361867895738820584487050068480327057982761129638817464052131583103872356454810499391576289964287491633801450765094120259203442729733145416088057526328952872552532904710641102085148947678123348335200929154377721111096849997483066291316175926268171260724376993095983897799385656418231233923041414179490495062233419985604723395204398272144293684226048416062927096403071764951020844149879417048623452307059948175695041157531999264773620135577759447645886095949331010839880200581151040397103878663365697459248230326014066846111182323415489349717282504020423457625159919864000633119819308691931381824316785873515432979661376105172090642738641418700348434799750532177060788755875565028626552416975170459188961613915871817533718957561107053447859440442702228369143813042700940543118806767230182374176420303297467456917843878907735779720721578090614873412220354266458515491291115733259527480360716020220533679012481209141618248496649316785107964651821004810111458920241268004984038093291854131356544277761566060986551392413531447274642458762449185984345253842589326159099398330909875420369888242326640571115720968107525056192934239105178461942315919134298871275551330035001990014891095589452020267162175376873692560971837658441676463098140151208055130294009985690482263713016188182265015693521091366174629921732615053619068902416020690416510202032011481341450486487728075001588265219014010079901392567898475382172912661184700560733856735696522672756173718825743636297739874302665751801104134734549791564447996375140305506931109779645249228914767514172349744644303150918401811080285730738776318448032564392966942950694242600173934060486345363552436831962587974585529147770365444937330611074233627295541909558194006773817662046600514583635662674883185151719960431303809570457006537938016652527711704871974938476178472938770448516177789764646253616103225120672017110259846869603647673367759059856892380462077827026552828081518733226750230607894464574427606575516616542662134259701442299259079067020041880329045771608929655934505514338239691609280534114607299245867305407292090412667493902467716121290493220983313698829139661038198379225238898931278327703503546598243129288217166312911864172550384595604702727498519597081263413363122776857035971798324983245948124001105181789936384525793673612507636602938976717740181189295257844618230731389717081639051073774341181478512627518382931118063636331305476925291267331278199612997225324079922381719688627409236219984857424903173892083046123703871815634562771570034112614168587193882598020293111887688190663178315901627750649542019290889630140947106234178463697875686975682319924038973333397505375012640305302001788578758577592612192792994733926056711099651998426153740309569428894692629124885292669459603557904430027227175387194006487448261061448678376394407422475118448144396575310546488933305099196430650627787825748807120399223723254797057060980735854891278926399566517902227151347162490688206888642513845114572931727006923413585264446509201841730959892029900675192962709757347067217721794939439954052779166072763030649619088194785824163309329145678262230433358674316619499703351045299714831358094139708313143200994066538432593938321535021600570482160219573002896096242784340643070053428043732283635815842905710410476827479826097983426839647474842015835061953125389614365054121800027461879214601784632512157549863025286868097473230183161005162277685894705150549432247339313805241074122840911603881576101021742428230920649607181496741010316218987207562882475552606094868881406627168451656702911576028614481486157837460345015325586350373935228832589597750819834972818384317857507455884880194945882690861516848485266680520675960583597354115485330638317290276676230795022495861556143375770971348176163608945586781875831301569639392109431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 70 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814012018 --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":1100000004814012018},"decimal":true,"detail":2}}'