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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 #1100000009078966349 1,861 digits created 2026-08-12

Value

7178460487550690401153369938396214137976587626647855004786977102454338767991010741066181976950049398310044140010792926738087807196999340748472763336050740458385488906403917949339997750833150672227415295572427859242832307441362105377902428291976901878069979697266926762509034207089708297548753140770876011162080438906044487352908362110465270073386068501146876233365525464886976016421243315389953636181259564386875182742717644002262369238880158741523005134319405286453177724448144063179954903793332008532865276624045147047518311480864262461222203450583061451231731527223746787328638977194705871109135629762931585253644975923317504976866584592744535929241859573624019994004021354744933126944766553297961177006622032421904048632398738916591250237258675571870286612762943270901857273086469531885522291761051096788047924571006565754571368001626422217682123951055301307592631703531331340778766902632665757062684495921337836459376188938667957208113267916962017142870554101575126700301277650124743057809342081901407970291196570495076236399166185585372513126615747910921151834659140071517515337996665229794755376659935464116795845140582851126414771852801774008589007234602899105297504212163421118448296053923151487877941964827057392006526397473516933646650074072561534725481491700470979028609032741024990328954971115088901039933804671122614731463107610175024446221609668175347062239214360022826884228444269191068362404361356872811012115132734641045296354449938632571334259277821556753309494981934968902172261307851188244126225915816482189487175520625403963125574033280899249692164407640822924125755594052262783973044463959968756199870812279206460583643801811776752388069365410212841421046722503169605600542368412120904074931347894944792332194403130975398925565998522395255515093810226033302848795795244376944261153623077840543049405198664993846499410874010494542725046947
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 14 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966349 --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":1100000009078966349},"decimal":true,"detail":2}}'