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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 #1100000009048452164 1,158 digits created 2026-08-05

Value

348935941152062409490080459527731418278581709109171284108925836794812188715887915437129041802671075082393670332375148564332869461556670602082978029919844461032667069063247567045163042070037888691540569992811572226848029547542482146432400454372492595785415659199459646400431974709214609308157324234659432700690019628543314661664020788246771740145013024245652962564974124100149716208138173269565621836575326016124035251523808399768498728933992849857310548094763197237803036219900244525659439211108260998222690032505266580112118976749345789438174524974080906785727211392631255530309621182126045327937786134691242822812246573022455271899894478245457721094783156777693128996172575079639472195344956836558050278033322556772851533568292301314644631771067964875775073103525613717951257381884255646981246032081646584097459158480028363677275449128027060508355930446560876435018338367482531891621519705683856473944012464917148984360775657130902801182333828084368430514185191525912181644473452738980350412766163564378928202036759475577434121524914580663451903945801003811372065393296897988353405117309212822089135161627792069372902124190386021943764684231836840919435817
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 1,491-digit prime (116 intermediate primes).

Certified number1,491-digit prime
Certificatedownload
Certificate chainshow step 31 of 116

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009048452164 --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":1100000009048452164},"decimal":true,"detail":2}}'