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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 #1100000008680827335 1,980 digits created 2026-03-12

Value

361405771503035181251415709126409966823255586234782686270093553475520898901016372314566719438862670960160731897181735225012584734894052197776338427472307432640914167946667230388799583146324905563583787116480238566596846799688250547492612315549621237357121829545655395043996424339807770246052497770970644696076702856854268977652089153274622056054760290664493425647251671777006193547375971616262128943665098873759201919114383547151410941326336508476724649420437264224992101296615557968901208995497867374060506004966695508916432072032598303234604644260235236329444743649628845024395064383239329056970656686418186953649867999195264613159904095934337191361350121619724720179608705891814704832169632191104038192449279477470860322247596166416201635692882328327057629292746252638245851236378585068533716551323475786151620922572764278486920318991252471668696477816927682434387985326871614555109181677076108039984037907658728774031216807983314076407675748508362024059120826127998729871233524817415502830179664531483257416263117127130311274771980783706840717775195912003159403969206506340037123858234541992087275514727590520427659706665302257141997106877886421117389768090620559963719594683160767528198911834191158918916996709433226068105080446693979680062737437100126681272442070809806064813480540251569870325434124557583527311695021936932132486224787411576623588233688894560692024257270012915659342968713891565549263617006832563688044881762243063534327285854726309045454271964956997096897435823084175975709842906051076464311013340595513592841219454573176606472356975885927021234832890121226401290662692819834495585443117992699094923026638591152035317611098436440068706310399734178985671933213325314694381501372712760812620666911351253554969608802303377125017645053950122171072232373582151817615059023097170357417167219690511346770980249718897183793996360075582684927310203991837225609417494529877717184274494101010619942032156990424342150890837439949338321124545769286807622120513744466517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 44 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827335 --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":1100000008680827335},"decimal":true,"detail":2}}'