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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 #1100000009084003322 1,006 digits created 2026-08-14

Value

1633172671292051159908666403662748122977575463083835712581524145418340154851536322302631333056380979241975943839183446425467538152154945859923939261621183842886612257286675919020935578203122822765666629651103739594228900198657543365447535202767946165028683268568991558762950808433658946017975623234757068830730720630250415654145706126440297384954071394877330999703755204232222463829766090033315747298762176448974029483956381837808306296805796402310316749253496577540728239261243328346479305547043380755288045293507295829135535209093915643121660886747573235863463360744380061109285775401163808743506810308042120392441237709656078045957326792208358941340623685740346657305463277018162490510499174493928275371150483440670355727033020630950860453726783725420283527538483846471163994832166205293672567497952521955309626883003518344141123938315500439590376231455873424123042761765351387458424764528185533169428079756079933999733843743233016849543224465617006747676973293227281177261514402515329506042683687043391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 1,939-digit prime (150 intermediate primes).

Certified number1,939-digit prime
Certificatedownload
Certificate chainshow step 76 of 150

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084003322 --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":1100000009084003322},"decimal":true,"detail":2}}'