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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 #1100000004895221212 1,866 digits created 2023-10-25

Value

123786016481632635705742237363621798864662104683326385721245253636134189168875454082255528435528803592535224708266968652778351695434428957409446461839047763722126057492277160380558311530477253825216478242109867495055879310381012264426344667891523448246381983858159706043629821176467198578769065088914102069479185980177298972693699417650572308249156925095130730263288079963498114166707022154450478171192314364490528412735301869652751605110735245372763659746020808214863541621623513690990461675838188932036038284329009438121004768177601180010323405734046342387453908304650156726769467191272070032481390274079973351265494159092232971971255918152466529438288631128826709569844214955633416348547890196475211882599853395168926825494402507632720094151085019509143738871777754030826968342239406466857298249755212876767455672081958195036884494269465427899598311203596379981760288738494061578937163113713540473719644845316468527743932696452300777550877226443198076623390029595161820303397931247581422795153702899865848078778999908942612746174754168138317032180938959292791163511417221796993795234758015552577689704305795462553092258192663391037383630458631167167374330985280481073294529063154955433255761352974949159072136236786155362109426405000061768974583906397198601102909377598543893003778926156939660778351568921513733152844975672983278709789784783776142161166694996498389988843261923778648793838005498869566881637594010362742969133535908687495241183572548181719776535375029346383834970084408620204170559871913221335756860852920628831381532535639942904529234715189643181837278992864946893758698023445387845821334385402834670068369679903638399014573653873677282130827015606761900404501053617309878425667438419446970759096174271924604661638405835285774430209205159182267933012382260545720318694661020051281415651352353661308235294897806475697670634393609071359495149424467
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,154-digit prime (278 intermediate primes).

Certified number2,154-digit prime
Certificatedownload
Certificate chainshow step 31 of 278

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004895221212 --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":1100000004895221212},"decimal":true,"detail":2}}'