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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 #1100000009042287675 1,108 digits created 2026-08-03

Value

8578157863041965716931329788073966513975741182301411275295369917818302364751157698742315140324254478830699823689204145426482686234283881022097348798918179663783749826733266746829331728584635619625187987348679514112508935318489036038723601359079631095504616030921129411678514357382567283411430973848332261679251829455994490309135858950041466854367760192998499395956626928284987863195000659059569971598119406854911608393693783381521038713951498137878315011457997482746910428035657401022656590713561305695360440469863951411918487633843413280579288192846071467220002993868418482440117544435610677357877285818146483308116596619028159837426098213869373494652650419110196298756886398638495055277907511504319092047320770464083847739842241078994746194541402222842652381892420814250133464811788158032190110416448496447898187347117182190021793969314282624451571247067574983279447287861149120300150255122596237193981516528886278901382157562590561402167007127060730917871394702656290502308342268991622444932456043285620215414853109058857200154941287503765799502503663045817004955114135498424448606170639018335890355196667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 1,315-digit prime (124 intermediate primes).

Certified number1,315-digit prime
Certificatedownload
Certificate chainshow step 18 of 124

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009042287675 --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":1100000009042287675},"decimal":true,"detail":2}}'