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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 #1100000009084386852 1,144 digits created 2026-08-15

Value

8286874333367033477767381971401362072122282237198734528514832518240526654640454829274603276272590063227480195166322213577141213306366634671031582980129032023057651373777475733649355350708779359416604081303002715016667895077986386630523423611533284222773333706655422025968489573041769597591746779814290689065550601731616912200995917879105876444567939001517912862862359387268485495491654181052175601464475394712248623471771324323707944901962852647641916448445646728388022471499282389612225046600902655148549820149980622675008863148542687124076171510830765186106298361345452471815915757511043183337965564490463412225662445139151505868960631191088914879779194223702911070305645732772756858819833323496972707399237065013474371016511956648472017087181478422429594098056864523767792029621092853740041948118630616136698609091225494085043624239461039055142271038668497037917269979624217296356687586741086284747710242820948668251278610952540066235515079539716875274024956568432681105760262125428242057583112978484259587045916998047643636527530042801058628022076125077011833491403951775003758348912434654762129104689711593447739019319575433523791530203799
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 1,956-digit prime (156 intermediate primes).

Certified number1,956-digit prime
Certificatedownload
Certificate chainshow step 66 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084386852 --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":1100000009084386852},"decimal":true,"detail":2}}'