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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 #1100000009091077233 1,992 digits created 2026-08-17

Value

504656610333386937841446801701037248779953472667335347506942179505910560407805795323042768047993192324168647893996874866751524065778382960101232636622526146111204022845065626212283141326786595099054170418630438450795347302300951493780355246962925071364376805886153618915578828665048457270901262815433450105988891620618654672775601886999663898394021713114556332835855351184616390080176516838935700178330298910324683589326258156761129395580586017063830034566585450901196204990344980905058429183409698722136306267708937048607634759618865111981079153713803179117020682003972891453241214169094309281104548758529408081287640142846506436448862913866588859798329116225540961129927084799534721812820126604538939386749735674465740228410883413457996850786183251395623950028482701667308278289312538658554168424008545990972159267123294100134343078333311282470660251256379504513352457291892538604952347038212597243439619808271972884955253408770513590630741670548957098303892477675982587569156018934565365042298623086493622743484965444310732568935973997799160227417319977024619499839160947118241572005922759105718043941073912689243049187711569027299056593069874140331802104589601987286239778789235042000619620391065789272311387905605295418702646247986276110247012537205804034452481923309963865135185751844091195491366740791777664195784397509647362601081528713654097977885050897168566744835551595853267677262872020262092184243834139502212609475290726255349689288408766886899803015643625492290130452248198077193832718851638028436861879081496968757806223984817871030066724518546763594051477940793311615417249958614212308716446180102272960833944668304180357616077477414577582877131798854225218134100499579364756594389256761798777253898870257271617669717239826115901787471035415195047492969281758598112545305766188192415118051161615879959134174725439589880207443793246684161422295608189515015535786071802021501592017703468166603552901273323982532772345107577081697886101598276474550492471039730825766864567319099
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,084-digit prime (166 intermediate primes).

Certified number2,084-digit prime
Certificatedownload
Certificate chainshow step 12 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009091077233 --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":1100000009091077233},"decimal":true,"detail":2}}'