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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 #1100000009084003263 1,683 digits created 2026-08-14

Value

805813527730900607854332345313336276730313684530318725140910804681308185772563176262548608740422834923365305599359016478930873611595396585935189676312505516049438838825822121122103396739686075506516067713349295667216189759673774060675638266162634074408678390511078157909395847256498896008116368539931321674883525463434183747801206310665811580770326022977546603449713248597153347596310277776487855294322979029902782287306405622437608799860084309183565259817810765962728356431025974966077014440269921658079076371087603588070888702542234801902621721512037391970670055563043309830427638754568586332575108537521291668740530108656863961965161340667153798524809753571999093299282706209693967157006335590653650381011269735913460284394844065467420023914428236609338783405109237426994153780826959975960473774871084294789223551003435506681089304826634102435109254879139534135183908100181756342189245682937062267172429450794069153910726941818839969511464477966151362840350956042874434497184840068989933871123408357526171317605189786590116241562269873141921432963436036959715820144249013907867574002711380361036583436502783628414742997505762034841838657207748023569458837555818332167844066262566987467174468994660828241594605662943566595639751893848736585790465667116576522901025219150745665391132181984194317906455843529138969266506277369643144326723394244670343636481469375348870615605163637368386955322736048160649412956412387328376767764408473636985437491859206069460247627383482972704111070884526967862565776862113376541732353006706620045971257178822075700811408651877903224523610307013392302203834505736627464977931283839117173531763729480346314124241455197875759120133667350022929140729537
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 1,939-digit prime (150 intermediate primes).

Certified number1,939-digit prime
Certificatedownload
Certificate chainshow step 21 of 150

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084003263 --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":1100000009084003263},"decimal":true,"detail":2}}'