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 #1100000009077880401 1,989 digits created 2026-08-12

Value

517523204081580634372261680058513158213581867716432163262842566923919865366382709850350027407290697211629731235430270967599018109194713984555980846203137241381097516456959025136467378317530351390498439710860539584127431967555192742589847967524450163916287103329760004416753175333362028491233004317352751981862945092603224845805457454299423100984921853491572406437792214518307314366059633601815036882133503139605339574781311865213222338162532471729911211906425878507646506180316914690486100817435548344905727939254708336873518222622888695235849484956347779888592646975443659102239193802425689284556369054515814653939881918136567252300553378610913786429953884293708393839115570743432727245479545967889156467972496999378929015995868994238407794796824702280338321169042780355882206090084261508712690921132377755062081735092654563684884774694991056853470753411845980098376112865485191470357457582502543291902281764958455067382943396828139882511603020688200267398025095868610155316478024850466754095652887696547131690720957570158591950631247527164440379976425131227818049723890716712058189206054598355690180499716919772064432604591791428905757808917862890211536594085359656718603221191675680758393604172561001038061789073701047064727870158076926051940604252380824688961996350105231461266561231833119019280068344515561421683720816370779464603043569062359397535447231359792377363971065494943790739438452583597475531917574923297202977932096393105599098811360604205696454492833508683314154492247978568801477494242641532436946799586869921599253801942437139427687316367511465760803642862296305612276920945685412022123082819050931444715405426188962143128043799185453794376353993631085514847810119002871071931408344507880424242310278188412958447756952890216330783694387891897970032900322311694269449962679645330417448702139964027567534477977943415718057758370374327476586265884006036757638402571753923106932082472946364258771098361461954831834074552012677474773139718707478134500237290537213794992243823
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,144-digit prime (162 intermediate primes).

Certified number2,144-digit prime
Certificatedownload
Certificate chainshow step 11 of 162

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077880401 --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":1100000009077880401},"decimal":true,"detail":2}}'