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 #1100000009084210198 1,388 digits created 2026-08-14

Value

27679808619083897400298174539574758360219338668545943985293195361153579741472043005192343125630194954867840762798974272571656226750370370604795038417836226330207270856714959301634200239171933135962571840687059012869855215317594788781758494247648697507481021749253925345558549052671205273521517488676300765657658950226604237112233503619543442048178818399312597650516029776286481540080521905223358564626588079905391328556121654514042817880134476541170760918773730764844022322178842422541160203996753008592106439218376870707575918483402493736594948541386792601099277998144325991283954333374958374861596398857745273678731507496151401353991504042418475398860033362285477840524631244315028986728544599920054316320713315417355238280290218762442993403589928052463313470035758757422856679117391284971388235943924150847361843859249253507562608066073707649064401604417310497153559144986871584064893829442083646131737846864504630951556365759631520208633147968184318610695236615834587893494284460343419119376806785447548973020781859532767544274466268210929978335779380522033071543719852676816719127267090936562274708481587930303043536229189617722236898444423994937996266156113013438507423722329528196046083283341702498032503234548004743794606950926313751278401176831609284403119030211132328088866314885617516783828414628014602610982630466540927323477045169745347566618583352322123751820976559814447091
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 1,950-digit prime (154 intermediate primes).

Certified number1,950-digit prime
Certificatedownload
Certificate chainshow step 49 of 154

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084210198 --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":1100000009084210198},"decimal":true,"detail":2}}'