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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 #1100000009084009036 1,713 digits created 2026-08-14

Value

936191237739468266913527432304807280708696349635266946539967997463983545767319615061258009421835400521409967686434077706744890394135650910877313678575096201190952605780653569084463451165912922692095442131740543344448408867305583007705902536430318653585017807738944922668630728037844521849195803735861704234839614443525850980930006517870419188379088749085883971794856310582081543187194686466824192977708936918361253816436297210442989141209469820221310306716017552698130753421441487186245894709993674758335225830741772950048415149835780103750338871273825094392591053741477204570191229850857251625525149380746123801580474566757586756792508203615954965082634451439313602039635328212354261940145786945540188027479929225089004025687375946837553961742020596939181424329435212234066089575237209052170392817909441724627931312049603789592907835263031263378331298700114583071610834791644324190649796151535624587321018481966793078956061213691015216096747580226688386757093519179307613406304145616354088006646610847388908078141109761116447120176144915563977280442271629896279363306075204769028325356154212998354566821955489796607315084406590900317181857523867942740860510427379027834542799972983416437555144951380675275861206759816606576153282519607436070907318401055669291234794191859494433853486760218670691410342434143422665528203728513095424593992807410509432776860222381165944412476432306194980231832630945604440036175325833197261657158931118506400697606644390222723153132786283949221692047260828176384362949746849764472520636379908216628671428601011839548148124939627776157577782412111193120545376448511327449914427547360383890887778408285125929821761442935402020361030903056563625160010990103902942715965253889797124537
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 1,942-digit prime (146 intermediate primes).

Certified number1,942-digit prime
Certificatedownload
Certificate chainshow step 18 of 146

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084009036 --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":1100000009084009036},"decimal":true,"detail":2}}'