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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 #1100000009044563993 1,117 digits created 2026-08-04

Value

1977551630184540855175205408369300281135527635247595683660257391068858363665478681527611299051640210530997364838509439821256594425413301606572553766772033772607523703296081631347984629282485399305248533707634357157662679525024830674732437277867622987451201237186976904398011474556512766189649532112216658249603639228702380478385310225978124943127626713647209272724455907965745827541701469520817390217945617394275659931010091297152752542545552996638564134651173289476490240534800332750551184418863976808261867702819218640761296704940929119477932276088858519852581724096861200011114730816482886568189883667179780802358619722006792985657423991340629579091525660343202202098722568693570649043515436572392704994899069662010156245917374373050090177285967541863810077641123660033602041067796356744316655342308574060198388465085683742890869744932504802756980481904609775505629279441509236142577564355131437601981861410167196770953970207100792329789304957799802957566607372637462358409204800222481476972813267365191596031435013269875290096192292675000883394633128233282374147143523842725487856116416190957918551713475669136731
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 1,401-digit prime (117 intermediate primes).

Certified number1,401-digit prime
Certificatedownload
Certificate chainshow step 23 of 117

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009044563993 --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":1100000009044563993},"decimal":true,"detail":2}}'