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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 #1100000008801116021 3,720 digits created 2026-05-11

Value

433664812528796394086550777689800667356582759510192326974323415648952184115004377088611242199209582385156368428419620655881610189205264218114598394875502127026017116529054055188221598865105698940776234646366611586973149522777474299017478590073178146076698651481522778937393476842077708855222241506326276014617069878074640004036478254598268008084214253504804121403361537732530885870038989323513257813470215086289802670174404475828221297511371357972575092793974303308782026489249298437053510433894054440942575053257148634019576681496146774315548023304294439040264955579598735722307164690716154343157839279109119735819758666281076962892018180620732165443574662731879619466228394778182576946557176446161794424456491840484422317668832697734779680588813813117533793573856943261094529877915914504907894739686644981890535554202913593834435809151853042265800210005210246459355197811291946961926545263054093684084960756576316989750268201221200333923483044977445757023398255091147971342867569197125101785122841682256773486319580650239929346487346394447646010861355099224628527675912025718876679294190014731499218246201416039081626761491157873527370217272692359426823129156212672591043512301231522407370382825950900469083208458683597930997183739568231202746680149630552578229676931469788467484376772573407376669096410650600962654185863290100802573897502102744684418975280492402482154626131614800057258856942849190301816131296731603641828443990364464837628918822332619860370869577627543480599624468975122984048922483107350376451668779956607955980829466567536049079393498328854056789852739759151628475910487866501641365686702356390546178517742093391048543710744465968655080809764045039769899202482977889985398054227401034811610171178463429273743124982943317708149792063560345624059547286029590017529758963462026552139242709038057546777805230555474451875583584149979050521434453813390507620801636761977628614218551254216245650736205117787939769555022312314784521713030080140484027933276550854432567816989757588049880241425141612748069586490513000540762598016645190457522160229747556162242030842103326797584265206064766674187998876714524727038276585285341197631240781241900950151753849211113077140887316244719737546555163959710465537247742046054892602556917423135907878970947545709640936293538309822063343497494776290760455582703162990419327749132362137421599544881178861069549952983678319393112178304723238741104424410041444933155071838361528968041519382877342755933216280034725856705478768819308397353543565392696007678980474625406304373020178863067783910307545962005023872101205398604723977679324109480339206920506218379751842126327911197317126632311421320330867735481949250848460447704646003799439807593704938465564039444562959010014631307688157281913720295854383549909474842774376956783801689034947583917401492945556951232714385237538878733415163150383301251160783798258221132724453050624871104782611718118198275756962006340923942745988846411306109622063530368158913333851287437636704642197505988677384650006754219985737467149333116147168779466772222776242007979699253397153819462732869683335627766511652446708450372040816025295594798588898644023562390551310907573735626495638554348313897795736586132323744589698864602883971809722555602676681940604568981668070037558613319774640711737172881049251610603428759570708252279361752885873657261792234185689496994007726587028544652421301166195893930605700508687265962937984194718058954904534161283570386039952967398828168415718286712055268840581369309250616468380796211383206340903603054442989035070593848884262463332713862733571194521276989954156339725082634800638746144681581184429056300866249265034730898535338351820953839296741817953471383188820915967223244884187411890049578260874787
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 177 of the certificate chain of a 6,368-digit prime (411 intermediate primes).

Certified number6,368-digit prime
Certificatedownload
Certificate chainshow step 177 of 411

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008801116021 --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":1100000008801116021},"decimal":true,"detail":2}}'