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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 #1100000009051642993 1,802 digits created 2026-08-07

Value

48514265786994324684501051600040954762639782711616701728547422305091062013226430228760563740078917635667032253396909360051715400725839784705708076543546376066899845701374266677179155212979704848866749566072116692751291959932877500914649482195277660161589476153854124344885461277852093884377222577358236938181813251119857244333257467529212525692357797676795947687293205094711305772708906235988865486457603015816515928460416488261163084750677222845876284950898034889118466627804458512428599673855826820404542078661403783191523131516657964097645548177751519691545852877624392198680490060827339028258070403529251170185404999353355693605923469759057204427849249381883623202618332786544138132890760830166788476333420228837710910541541120529515645121834720389555960791384274037290985189782193949789223756920856240174833081603437549842508216295494215817268336300952321085868451938117633496151047937112050639882425033237093850552317721349730324814954542212003037076793021823403023820653184270587755025207597660235761253916797451696773316591529896766292946060789858078534407347341302771509591508795194967771189349319681991200653139449917143220471677483452881049561601563195079466084001362568825310739205147603338887832890977882292334891618458396708219076066645806470545176803610081276308099434546447129556621298168976959766122731819169602252758791578969741331752556810956447858046171097674572748755959535197174699153767860323325436833704722429891494111745753986624641478559317404831587071931668271672335474991562589335149771334161129657431516492466036984786559296899526582499102238625911083035883460607204046526701717384552314155991413803835190459032961897411029686852075491535685609666515803049978733844817421839652912843690719518339478395570413568776045240066193457681322389313527028442701403523518385308660393
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 73 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642993 --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":1100000009051642993},"decimal":true,"detail":2}}'