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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 #1100000009132969324 2,093 digits created 2026-09-03

Value

44844444684165400792006810974905094516111641372002147805821706133018125866406611436215803683331665060773283461362149359038411025438102531580193996068436407398398545621511978071332707275022840819274620518994588407758416657133671649372955319714660943438691028238996176953530641280674303533188688208074028326053492657466127903194339774301855373419724526032220127461631925800714957509659725200755379123447929832319507645756895851478618510558463397928045711665010666591815072339455810441489209293104332508135268818488039573468562360810158221670891288422156064598502222444784485284814561293914709882122678652467387024516353699252557770997181394068144697576500622431536836020777569305535696241809093396766156207115607342549651625188241943047044916871545525449685872186710573622587711789785618323932886554681346550409225996491299309441141808782797895630524604986447387883076838824399679506515313874972435044558320172962525222119930193245733568413171596678354686043428332608522976942442241147791119367624939393955819501218000947191614145773140559876490319041804775037959986373987937918327097571613991134099450691004122594593080674037672239735546187793859598963437105211623247666901604745928717936949899512158052064810873117009076455548831142994466451975803592108183223843500144858649982445863039801852327453010187985714990618807497545163886687539198736898390902327412103224569927106019810571306674190684212286852660446821328352852004316892079155112115475085946609416605678655377165957299113298010584833559170646337167165242626085896202678290635897128115096258003811511073599665503586129127526750207484321426672454871459593035150651065034051465780982479529998417402006765016399803430686981058475549883208714772099444177669791261754918559670305401508045620652934213313341814876397103269793628991307464620737259974107964596181480305920250202886785123685873709093510718884057631391676500518370856936567619605189385523820400950645681837944427088305943764956200414149458786615810641799700194872653008394233377911720637700833123525291560731550350357589384721835124162507531492869131136487368620867140939584189
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 101 of the certificate chain of a 3,174-digit prime (323 intermediate primes).

Certified number3,174-digit prime
Certificatedownload
Certificate chainshow step 101 of 323

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009132969324 --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":1100000009132969324},"decimal":true,"detail":2}}'