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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 #1100000008787409414 2,721 digits created 2026-05-03

Value

562084783403008980662786054353652994024652216487002675011943392403446402535103286371495123512855362814531843048133636260526325051130095553935483268273336804254689437318663416672162137587749402011229280009197600420032555719614093498022296160769304937854403105069072598741482624843927466552403309763020850103546171102239454726762619438409377403886074542133064893641640292179420286892574704313917377572356427879823282802165772220351180944605398766033574022053934212325485181130089152776331473693394173797470940740041073462015802930797609680524476951591807798468920162945897622759940230527473334165616365716523992607912205071200517363373268375708538230649110976712640977164820524619640564820374635190477424190666960852215733735931219320209585516809902221624489562085320097836593508136036578986390735283418304565971665459919851504104076467187275005748666073067535565614573941487541480764583600235184943189044170779457121362882765186835564235158125252500622592866320195881128497026676553819383615469212646806255439133814153600186888565216863044606054955546868863228564927297279295998175497290911185964707942314938814298509161723756670118529900710903528286098625803508784804887724033007388474607476647547153624871991511022245280365528325266675274654001798436251876878045553918644947026055747560227153584317866610916498814409932249121545749898525042729661572060888679021051796844375117594182768768429065177703024110544242546305481673350912599324823270751981234301055765043930629324274846581806581707159641215830697750959695146201532776039364823273175689348699036574814804013935648043928563011824279371416047744833697212569031128561303792398639060619952888650325825439601374280105791052612331248418606926951351318498760507527932130271249616486080112417457986668573016438417330839196548399566909292416434450980439490515022312954913260192574842722787378531792538983315237834689053648909591001124610583563067785440506568807660696927125301042905750207325756875387326293060129132808515019904600454156876168343489808539766310292693731376532297799501948881729853781491998910266265336486374860436923190913581273956276179985598696516735410881699995206489856373780499537448235915506530747181907008565860990479465961964472601222804591128107642141954615687809667442803789530583320267469717398474661963771052215027144868660803519474389819154442614921675836308947707565692437394139983646334116944103834119769853900623262590157744418648729748340315166436033628830930275361057233502507504414766425279300105536879154635525449463380752734550173999954174717970610842783359545216155151091537607692482396289436120089677415120243794473357719694809428638574063382755211140779675011861558089568405456030315174132709806730667073301981956510367831718634739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,261-digit prime (192 intermediate primes).

Certified number3,261-digit prime
Certificatedownload
Certificate chainshow step 33 of 192

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008787409414 --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":1100000008787409414},"decimal":true,"detail":2}}'