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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 #1100000009053828933 1,759 digits created 2026-08-07

Value

3897069337105055157036729498724567569510113599304800742601603459269725018943833364029586581455140714726790014911867957609937708352804405448908061649140885533581588203879889706197365299355847320279736559536090762691524217275116597941000059408649192297007106248364030094995121357502904438263081816176290805633309066251215747769745241282764034098794002969629734070674377548161257158210637753245393851682203268635695667505776192912784631289855989401351647749410080381087988194053576949022631660098750355496670363637504468847980073500316567889942474615817772602745206088998121551584004298982723503316458611138756918010621227931189369842384319273288969191903531612409110821358342992526128607304828366910396705465441761068793040339003863121867408449909278332281008506275754191987779726739042256663187426214541893911911049867476673268047364088615879471575915931478330775616201400361396429926746097381909826996717010582725987492885002985565292415107521393253081149211152306479633592921835110306597520788055326455514724099637565955405647549603032791511962508948905467232927098813044439671923216074564365672527095980009107429324661938584048870778115631086910905843620097778917832610249978272482332850048855153676069723489625269732408518242382061676519481907105450709699831312652875510170696799933763469151495163303230851746162498595058000309418276203208662208242186021132087981009943510477965846604417582732423080442107514058848107906690805348542029216159428238984630034536190917751813163495142188677971367448044660031106592568021852306129758654993474038377245652730236488140259113702943858027222198919185580633742282175020192992527265192839776377983520922094787975008768048897649980934968641564139838861161497019731895982711932151626750751855012357260115130287232398219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 67 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828933 --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":1100000009053828933},"decimal":true,"detail":2}}'