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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 #1100000007100334286 2,191 digits created 2024-05-23

Value

7098092473179200594684849294967841839389482111009525838037749801927992618290310315874462892977366138133872260793760758087417641831227087030808032161180961281037662224893419707639591289228661376023009515765318889808577226220543286674457848523994695988468747193614188179919790481650385132772954483496493722689322742007851873190024933518171598100371189159080246891804987844842514670884859375438336493895297306214122028804343042507151560040819901021980513780827953591886174283082626374066512184007520988825083572426803281754546184499809868580291684156168843367206960212123270501458077620348584589074961133816403589817564471760480893052827295500616004154598925820421792689013629009329496275339761173724454074415341627135490923352230543606272173702556530571475219431779778951997049427888805375139917572591574354279367105307021531352474219703772480817413878698213971280486463862954036297185858799770060101077605346692268592028393042519946584285844451570674763240949930816303750791323340418219603098165445212219023037798272252799951673010782303271494538128600750762581026195015751774932050757495745316158203909901697368555114707567280033842946211426634694479524046790826762970794345076623552841047976955403671799914091827723956674931501513058999940005142628924043587715374149435770443748330504974791128632426767609278960431704761462963783313038046095666119556561854843777814262777137961405635151469170438188701770498260017285754100320869907401626559905391668305144905380508644291031435621670282704603049224481230270732777355485205027339299068383848724545610295905042442218847792046450717993322818087899158765548224500847083267781686385419492029325694796890030757845230325143023680167541695452424372764095125193144501239413591850335711383599527406213083830163387270236974925461059632018193989073426400115544437730535655282129180620849608248294035377209652463037182910137405619762407731582503967030759093482053947443442542185703156499007923248500700780697624450591591092134056681455714607320743077780114598461829758057870743678542036745807916530242370513731016176935903591286219601245917806076964509972526869289433283233205556557680133906327486356400463948473692089327236480262926079275465149739846289
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 88 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334286 --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":1100000007100334286},"decimal":true,"detail":2}}'