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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 #1100000009053828640 1,880 digits created 2026-08-07

Value

31023382426104144090014231486592734009438809932807994530403782489485121860412043128828299491251723599158213555244419574461823956898906369941255224871366273283081985494945149982163736237300520835963196774139651382523279516821065862081972662705079767290385647722298796847119226956193499359353373514973284037582762214852056470368675380326441506944846627272763103082969059893085247631728386750820693611773652602764554889849852889260232351501773862151878546159561796943770880191100008115909088821097576113859905905771612422828902826511625756516256623522628730140626074284344607155631120848334285090755097808724186223576168678296809557495307878549788986631371550572918067540918679332967054627600452829652489752057742003509292353303036363045511288923459214959938533342440595549267298080709892758389806635381428102048201460632059586006108675182684264178972547133508471094049878803979745677632006134013870872002539116314565294415838527639958660445500470845838341156896563892156063411607436460608036386796173253254158975348057318753844949165039158973978628854560175924983785900370413232364497717562030694380309676492529673400718969969734946963859305126207795532814770654281401175678956572050759338118922267472234314065702945993987318712193231251165763418445324154468929099420927416634032343530552002856276222245218998020121943019694440018527479195772168444340496155313313699563398236840981875945320284878085450838868032633277071035371000405063249306296796209326681957126308404613477461599205177741001814409214006484684573425945670440711060916178947383006489111755961904974040059137490138138745404858981586493261760879233500362080817638913008073739395863011966727899628285956744685757547757552148367353924926771361737233870474054147694150217636869852748493479071659294424583364829668448836155299418381579363287441190415145256658222302593301251470188561080184084130434749137156291035324290373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 58 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828640 --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":1100000009053828640},"decimal":true,"detail":2}}'