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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 #1100000009060722021 2,101 digits created 2026-08-09

Value

1627418715476858735345091754487689044222351949365189582184363529075468942363688422646764320915284408975918429363389159672042639916176007676421248974149749060546331495431305351441195032658427284500156313628913133743028144499040702703469020125131823449919424593106888180260082912445630086745332540774426600951635209183192595722571302883295983862974230630502490484615901504939306068517499460164197802595471399697273832290029450944077547028626613930431133436403411174376103921489818200714011168477869961803908777257781398210937505345796279407046583583604668862683635696951610974043521206021397694228855267334820361837534961218836476458328243683899627061223846351755789822408680144991611316847113865765921110892001452194607707858423085529446394138138747303553320468899404103980169635557412974353426944205142453314029798931021905111329961280070404955374698011747481530253091170197139749532164574966104275477994697907456672453779769261553174424885244947293084176837010213858834599236831503981597640667792287780652728353449625153350242121054758908347615653254327467876868941725517816628030101945185517404732611328150920880735916424634802563754325627611730886032245655754790538852027799765101667880257897898493634004513885656245784787590926139018605263306204818398599277136868761355764995114268835529147603218874075580492770228031572278858758799753821803411677374496154496114637163773388446254494650029086703048516231248293982949437567925560646598832096551166974930593447546032726329664978625042828153981116958302087112974248909043159356806700198703261122024512889765600742279373668853746039718571757171961429848879026327473131109289433784100867732124826555564185960739270090900463688317966541192861412158277302032208323884354378188816016522423953445192022065725052903241738945429161061767394462283252666722379660740719284635330388668245557968954247705641233321903828361701089925979748717954551103727325657908559394771559407008545106714083777399307616198377663328238700192576564408706128700582791352480396022718088265886159869735699764521847176500215818412190939289746586482018591656940440426268375700712309907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,557-digit prime (187 intermediate primes).

Certified number2,557-digit prime
Certificatedownload
Certificate chainshow step 33 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009060722021 --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":1100000009060722021},"decimal":true,"detail":2}}'