factordbrpc · fdb
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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 #1100000009053915528 1,364 digits created 2026-08-07

Value

45326603931003956250888113193009435406591311910959989195325470398020476371299760502823068556266607155372671173403424659404603843313964699429696363363395644717603248217649514095188734998240845884589689779090511235566911000007512896362498836010880998229084058280234419224606140461402401065294659013039823257002224745679229882889708175204577462830943221250400298728885506435282359034683267003051710566281740198140174380073860591825064420747116762499196291814807320939069811491306622061826203774761153620588620521408603600239564545197419235014296524506244729495236920534065661569239562095629288410040592784969524261744004773206845058623234634435137990169557454013200336121084936133148045686407031740256045388654052612588117416331826232344234558927324191716222962089888322214987702238747176407186809732429573617469300368095378646631011210600978697701540499193632979801286173556816667780065239918677245372071131020447811475754126755797452369954914921771280294715251705209447758214094581745902707904759998317335660850203024454714214023872578217731314844608379512193800605268076221354328305784139272317590490678451192064188747530814447093627914724850530631030698568373713551105523201331699195181394097838169249873222958766950333152059113372289116388908959033036016821279298724292653540111464279907988827033413237164858813966978239439035223608891262640444980400720985292489
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 1,613-digit prime (126 intermediate primes).

Certified number1,613-digit prime
Certificatedownload
Certificate chainshow step 18 of 126

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053915528 --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":1100000009053915528},"decimal":true,"detail":2}}'