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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 #1100000009048440163 1,036 digits created 2026-08-05

Value

7781069909870330231991261691457761153339228942001111417498061002831146557594394316243371063278316504327055672952475623452974404660852495052402078640032823658882077245967986463979172843299758813953813853703495482903596407766362143332283115195944361791520506124687510145999397322442789210673462393044024071546788950172947805970916009788855359613348788462866508684156520997726092705902518063391032868790058316905065952364842360580438171596156048313335784479550934081837743531924271320567104140915868902448114112055204478978786887343184077949810165538584362790805631631728907035735456301608858873227042418900954249668560526242002208169358076081970824211545504779164657250013830152802562917634717431819184934571229599791717609861725737927562683332440284725247604339756448797648859549546619754424192294003133541162576125457001394453333713157754851810897362322286501074275242986799217092974350094702532547252345540446376979322585963569186497164765362018301590414905435602407888382408982023633796155193691290043973571743089942944960930917291243
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 1,491-digit prime (125 intermediate primes).

Certified number1,491-digit prime
Certificatedownload
Certificate chainshow step 43 of 125

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009048440163 --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":1100000009048440163},"decimal":true,"detail":2}}'