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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 #1100000008375789327 1,013 digits created 2025-08-11

Value

21518473031308305458375338777508324291474297590132470543148524231176777564271879552779726972395932757429018989163352809826803237224571890825567936425328636415593344979582485942143842443508997623591463778053537886002137241763897666745460223681331775443145025387802490199267453705191130086866544393439128855925344322645001600828567077616689102887033102699997826187483442166480585472086108469233019855823259028118744124401527817972839450056728458906670603070728429786862466202929651142775269603069463272203541512899984161939621294014052645611816356035617425289130366547460214283415992149915055850428979843105974181388499297246039853067084989967643850873033351862617002235484048050775094321459065473100531252590920052084831235555707646764445103587252740881319425362457060813190809105501459147765459212339033950519436234545168285922130959033190009040547763236822380246067975278093192589813511817636455610149386489400815212221101462842478987439837685171631553500390078098989706836462154396854107594496506131753878636773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 1,562-digit prime (171 intermediate primes).

Certified number1,562-digit prime
Certificatedownload
Certificate chainshow step 55 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008375789327 --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":1100000008375789327},"decimal":true,"detail":2}}'