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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 #1100000008787409523 1,978 digits created 2026-05-03

Value

5132725587374098386978831255095769222699399896375494604547832062398944371971468950911092518600466173189402800356158396513369515904270391459568158058120870612293416091929256638692224976271766647693710706816061279926527751378402319777449152455657658664205839570622108713785945192820050404088617414892568006160243563731430604964715934724881157577427155700960015322819316984000337823308335956586203691779071770972374489226667490309684619078521144175156119317240044905756481540012144729273146525339173522538631412742826089274433367640130070975149478336392178408952894228348925725369532246659973043777904088813774466225547689937424906187851317209837565125602833260821387727492922909727981541946131050149118607093247104100637172875805160265864775805139867471798295627991049821157540629875762674759011751022946976668291274949781720067569523272840538870510429744772618997390059362240765406067744250507169068069469675974900332595676092879521572817509791173721074959073271782149891454421217370779453123242393569461784364768257972235608104201579851618440822321009151216536888316604164648328123117613675782596817351240278790685770218180021022944747452168801501003380420357602542597869678916359603223772343596425792461051846169870898276491434742121557078761821179551259842187002135207336073631033338397253099036876996842729819539379949168839527751842389216095147149471485468635369832370381876661514834542506228530412141131727360965142753504493404767673953910430599054556918462927423446915395535315816783521483975956419319012630358820160490709301108786082732794546687595087353451911074428444167059339387075882674428376109221524345834125705511481442984845233511030653768742316347425871028154935310357039515376342309627686256040471931325870283823971897111295115992353101878934052695143199339011440895006278640594996907566025426934099754882607430731687514947316271161227762376778976801328527701471325587394161883968072900621638584780260880896412775401060602494318154933393306767271498386059226607
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,261-digit prime (192 intermediate primes).

Certified number3,261-digit prime
Certificatedownload
Certificate chainshow step 82 of 192

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008787409523 --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":1100000008787409523},"decimal":true,"detail":2}}'