factordbrpc · fdb
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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 #1100000008676650166 2,617 digits created 2026-03-10

Value

3111841365340123072656228118502185816026441180730189844964740464524691459214131358427170876667802984995533598854300881526203690106956171903697475062025022638806895831231162903420468936873519567498185570026520430764679637785429364190644176576419309787926495562834597130499708647970808390609276109736381154063847001843805344974835573743867857487959302889323878607845764833324358134837862026220840205131984239181157011719037297120779020187350936165470958191044012081710578321633179379239412151249000379110635375092188855028106573155113877434664765217764158585800546618235273586805416080052735191506261772614658399122536402238921279157673062278725379365720756510225423762569725024011659513813339586886734667247817098065057652537700140384866955261168475555445075144289073127816895127984563659381457801206573167876290519978818318889922549482017813825088893465389736343908878635275516110845875959537537179992246540507069247258295038356634160215822084496868098668435251744509012097944301796754382805359918537921679872915818065724085821862370806556898626809426666062337841673852120929563828154097973611094626617827416367292158062311849836292748091974858494848672821680189175964113384479818678704663160514111168614801087203051369838144147863846899804702035379190690833551903216500171156702786251895496392118685066460163273011683488945892513384350102641133321656854345364109772802044216284436716507847818637954242436904258355535821503755944993254723135858538406625420413349061635528377036968910203663310686321755094652278825232996141568284048226889383324359699239846209722521699309846830094009955400270123102462393558653864821576552045049659888824473125658853014706877838868215294727660109147883989431461073430131605206760428298953288138820442940469643923083607425717323399100348624582349845410436196529657973977084174625929541112848094955819106003906771388471040785130642958249723383611512727817999275438111261495380345466460718184111997429671244857012414665699634953270388469443369060541826945590502143797693094954493139509992984530857655836460536640552042434609923881729263395040549677789498674482417292551740330668708536436370140693555352966580836936676628150591723067825853875445576448113725217337957174073796111765231681175975977774459492023537263133619692559636416871228338581563358937941141391252586687204545641218199991645978138580131093444658511485098501061535204517901440500971239744034996275581963644071171912932874495528938644943391327067779039912827015116455007528250348839396411920093041669292353251763979573656705276331329644027821776656089147289110434859475961914467860262494653772431465490520697829435501082159
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,930-digit prime (225 intermediate primes).

Certified number2,930-digit prime
Certificatedownload
Certificate chainshow step 25 of 225

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008676650166 --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":1100000008676650166},"decimal":true,"detail":2}}'