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 #1100000009053591667 1,687 digits created 2026-08-07

Value

3978937261112497582542268880455014076124579253844560097838062429737050664138368927941168648625827589192338100281317304895565247391750939756299771866730553124566795083407868728734924838457433634041883099758071385239485641816796930357068368438511547492280961234510965577005988643758322779432792921887380227439826036665457142302706843945932217763650717726610933508519376634606305512776189003321604055965591076573282489821924458875456939097091105200019360114180800506061243030670016444769641557478021972714033049723762509326633180431484730728744632070687342968211851056391721549993044637886457313696497696278855679957942232947273033950435355455497678348539053228802246897786286209808943211309554838369345966591241969699394895403724806448610031734537270386034070350150030332162134149321003283061148242930768742871740103680929824200581863083330596939422035375783019028281352293849551902953356621472379226362870035145883508904741390179214701444761032238308415465334461351798350119885823662598297234980265651395664280598040325090645792921460756834008251127548754789320434838824823315316496624629739755293679721243650824230180043832954288414004418786240299107296670816000086935492260782482447352960854721706426494251064937131749667089995916856347725019742719145362778447894020855047534369988628421800318495409807560251560918673456693541107834863863586469259560675666003805189495218592235924389839862453701745722051641186397587248478027593884249635453107276686822286252338203334145289260059030870100078121548839313239450266051217914143329114974214218450221701340723409874697452655097507823987011025368819012740050214606434912825652618827035084990712647218109888214926956483796562080783312470509657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 42 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591667 --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":1100000009053591667},"decimal":true,"detail":2}}'