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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 #1100000009036494408 2,312 digits created 2026-08-02

Value

21410412103954199443053523927018278830148223534834841338397235692650083961809404771751623427862067664571175133063086772435779964373596265431569705443583416704852111884147349559939238226014801294462137941121014902945419655601644146241820900691737081184375459895720330077463430964082991040713372137978748377194730408285914890536750339004547025905871248344552139160098037867842570289748027552497715796212580524227557536088725108735156550677939946377263253827563050270316581844399743686059010600437160914139621437736782578341635890615688784830158183777464544137141489243458416108804368591020734604704425994787593030084403053162308864205503079506618669952323033685803353458018150848838587772184326880856551330106378756872250619360165602703202787769404545839190217549481793706490976531575755158784492159392347070115776752890014617300578626232138541703187567059174835811975734900997635824300320645545500521392670118765581330230741870103410540200756107909238383441547277098239175909354014975310619857054784514956492077233295960721548748557535536438116923629273365348368337910622232658031891691162680582445444658254856329518878729513972181340333432395060079245940521774873023642185102758105123293214566082410774037169123094322104106899858258629999215175957616288023702326583778882989858175507659334738634687048182740634950978453325121655806815341842001552512316457949869157991603680862742398108906691579361552848684273135090569855385737877119273838678243919637383936916527352244429431999017821380833665124355343637405707052846776390965770082660306203032374469175872410193557579601618571323520958545907058853456854529175763530823126433086479503121211615589161868747036209762673646682737850164188174014253187489687126866060942347734804349271916909741516394856056545558894067351051321454856759247975374485544200411532906231552575991831161192856797780264959797811668688907649153299248218907439481008830787444948769622851903336835987621921247678993713343527009321066128911349966947159643062633147358198821066806315999830115121420669002009506518187350049695645623229206062494196014438441757655886773591925255581405107315319163070401758547591691608053074358771296163305465098899931596894277400252692125425923399956158118691210533384052386687938065192144147557580621343524831308588659901687914917749021402498355132168402317732027
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,795-digit prime (212 intermediate primes).

Certified number2,795-digit prime
Certificatedownload
Certificate chainshow step 42 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036494408 --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":1100000009036494408},"decimal":true,"detail":2}}'