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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 #1100000009056765584 1,747 digits created 2026-08-08

Value

8401152944894430166431323908333307943388632890531641694528251778641944932169521883253429475199575894012485969518601730971325918016575461077881477633158235456477343037202625671643622820388984068724094199768905669814682059981090917559743209067514801335216357400815800219631672388838115662580102833258105267597153918289852796070654341737163051954593164409805835809294432900675054071482907156534538861438281946230416375637859367161867078095507448399499528748783444024562801485212700108769320781042607137062357576138728655547937108477238812129360763661324857638424942926443821014476160343471364784679521874102523870960977899829916713322435655722181358488439388154546980932943968420880206733383257072118407180666419224732339886202145549700276218376737944106973772502501720427492076474652822017576632586189652527790159329954084049511094424510368149497795307913617638530302214107442323242276280548182104357874633167298550874485324899736158660729004873696904874033908883075501956227075452958166634296026604720679436908040629963758895925733546510427655749092719207473009239140477080116713066337055186265748936625632130341845280741824767208944823338693209657935099196971046782310367002150055725308839747892507315088170340706235652905270726956702555994396621174586657629172416058413422612453919030137720046074787813665172956012542596823043375574299038811481623349513608204597447716857222552608935362048392012747354241878360384615510714886318125283451087373103783419011342684714044705982978848499564456165069670753714906594329988897890423997424406655105082308453261546034586322266404418820569833387771310394362482917687370480433530690349751845546503362580882335214194444604080107020286940599443085941332723257581424624565701103815148697083274597721860064055163
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 2,536-digit prime (204 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 66 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056765584 --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":1100000009056765584},"decimal":true,"detail":2}}'