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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 #1100000010589161083 2,886 digits created 2026-10-06

Value

165758054870156248505051754703181861068985699853782530614356024641955071788460072106472683697876688973389226815342969434132451488720361787757431731944693361409502406547256074431154905872016827601446645533875379341249145185217899751499004665435972565877999665725822169254706454017955761916095375356801547995203307954387404787989601506146298142360312226820234751330112495177542147127903608640410192506276588147494792561452978907509438317358184949615690788321302463261760906281413021620381048042041608014714339951626495411421629488221487418462665970801785286349437911424582829160300760665687635538966226963146127411061235463869886432221058966284659192019805863687953644526075730138191582289585647422423561634846456766095882552830462018768311396489057849072121527269584091148587603772734654741195124510064000838315023438932574471159483045728868065301605179644038083830691861851606658050603630667137874800368789842369561365692452625390608225813233612224773521082427586443519055631459426367464940870971892655328498425402151846413789514759139454395171071080397341107286435913938798301371743991488704438277650627401011608092538349346005801184745212329925466363255206765049856823868341872946411977470216994002833549911208896373344735216224754888055200531030672068383874352764244754947706751690380667440821980239769368796807302458129423504242811382641702113368314720369669135150380160980430053737954220846333578532147100881169326806199558245572550163577480695544745841444197565403699328860685212078346503206738619403892094457893261082516732938357449818702398974296475676736850483085464532701059254303543954969899590085757921964491346752539730135738970948904415219655766414157774081473382624893359779435949515776173249186686535126838425665002248318496978482248379849625050118759211474025385236741780813479575912479261511360955121995781332557156477275980296412508367746159722714923275018597366232880510332040453157783149467553329783734351027528040078253502617969237351295728368732582991882637630735658409581634528624727983597173076499526869063416893608643048514588833612775761048853723256332905584208928364593638389068996583250472143856452926726172830713422107389746104681227299147891154679614883388673357411763915756739846886839682350927803474022709900490718870691130030028790351676219155711199756234648798281562005155907195294645860893060118696641124894682898956523401400628212306892771794699144178926596229177218008616357732088639911235677929203378418939054545667747764877311821146502938522637384443889258793825354978724543370153232913960636204379011950126536235474048489345756418910612260597311807268719302153696209003481900728023026991882664697824129421472004958546498452973610648840824032409223787343054719965029176331983372021821324148483089083808869906276344288496966415788065127151873764484799498974930470261326194778879954630501872926947274544029278885427635536837800756646157356118110747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 30 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589161083 --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":1100000010589161083},"decimal":true,"detail":2}}'