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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 #1100000009056642646 1,931 digits created 2026-08-08

Value

38210556979066071540264356948204054001654033728041143166033882032554699903828913194561555835420103144264628170005492410729204912758523759975669170084580236858386337798884053572618189715563042536815552212211151816726726899740085359310588343084711382756669398481283630481283534785705208408030832684213978308560068364929889865283082668762833600292154111998098684898412077611025408390027354471775000872064411639490373068131145445021542005521662310277520022608273870334260994969099240854447071341226727827913234613431793977469523397462438020579872409834149853444689229878573670491290897101801767366020061682442525764621124190203337724845116994755660143205297098518043759138723494457293879231370241046607752025400795104093867776125465659895138300413780100446563093076533188324681988469651388816045345349166816533446228658950310728602487578627428879478148629848420350635714534103622742744593869381844511450023543204947973339430425893077656013549412974946162500247738091681930342007669124904199225516353253734207840310101956441253502304517353635491005290156137310207515164371335210761027890703897539458729085231616368567873982608544340562537688996845443437735921055866471963365730288724395250479893660264830157276139189220244237542744073434999633155421444800923425724167938416689413927264923642508820291793167237318571317855490783703970780057752511628725466776594925097105220317899716827350468652932440365311100673143578996533821632357821109066836361853232825816194922592969437092178721019446240816969757288107274684143547017680174288832576364379138615135228035916429074689397878673005588415124615719002877971935793670974190433348044489772643785239974012140875803952659207189101272347200495808820375315613063232356135050949697484221430899097291642029724442717537007575830397264485366096345788416737641766002464441992214821991120045270059263564609870145734159922436637791944744260143590893266109599633765678879402934975471342659637260562701
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 2,536-digit prime (201 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 51 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056642646 --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":1100000009056642646},"decimal":true,"detail":2}}'