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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 #1100000009054544722 1,631 digits created 2026-08-07

Value

34960689454824139697113734361110472016385253426656565109118153626507959781044027239219233291840823740104992416139503482992838440922786241241064751815174035111109689012426924714201724937605999292908318814090163591132474500664609113103195251174493565751978960089567411209874607286185350372239274310673466664101973365117660699508179139378546881663781545650841037473792038613259636956432215595319766838945037627811103383159398367692283241721583509970862675987311333480486280390473315968157623681716823682030438526916413300356896198543404717214914821901084376121127563994817479678175948527933560721274721869765468440584036289931721511227007986912978288936943065179139168073819910425803721571537701434112855756891758415025894519634851299608549968111318066029918833886687526149518874521145367427137295636185159248260301169010104812782082013978889451607683666731060998116755053413531020944539242907989306022658259286246670797379034757326702724547678571490822916634455053050207918295299625198810603534505265187641947573289526934140258290387409531249650939706457978780328731834225294349498512569963044994235030575425038364527948310500714075512455348993260283125018583440345398611561628314067261051140277720735869607497268078693855601760265984226209457006624613081522764763451467772544112298064665105982428426230087186776734915431789267379357203590673573393596646442530237545251264433679983423089421393116731361602399176040055241580005326383576566850184272294541586977752970081743335237265364115693283049290711798235554071572255600593802029613644801330156571073659923010823935469779381547449472216920433293439628614217471777606867770664566681
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,519-digit prime (183 intermediate primes).

Certified number2,519-digit prime
Certificatedownload
Certificate chainshow step 65 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054544722 --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":1100000009054544722},"decimal":true,"detail":2}}'