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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 #1100000009091095032 1,720 digits created 2026-08-17

Value

3628313170302121933001163918609041699247494049922785948336275304502204705856394611839704233298397657656431388649113316230625766743915285911477602923666108340703838489315740952964139146736799420517293018016843903581661881510129176006529977843435098276563953017125108634406971723662506591602992432873309872285363599553476346398684910476932934241729862727790065664389679297173550193802651058107621146787661934168230393478690206283562830559956325537902507181276627056302014821008368388696439609710681563383843638583691975357352833473625097968296433393164858869199416687334177371793754988319872846277445780574077369542537729325504361454910279035255078257703970388121759002123083089445800170289172238671569385457248695644279652003097173550208662387071389302689266429386727592058764380494804205364850969415660068223250649035315886262350867640312246189254544990142891056892617465300068522203918822459812613105967689931724414154958857231326790663702242770632768819595126987810454395383964560952033453450617437986210959051028997410500126069751214746686589911149734024587271838778721624500346018934674135832192758195425118264396222578556825967192334150823375511693857182163264142795930584454527212469827505745223571763330545114076495011272721610933678188962639925194696910369427725036736424662116508091096285279999711390702123593137527985905292532560224622498731203616005637958102616813941246459464405593202099207752455248865669151923940571374067559544225168108427709953607041207439579033782008794890025581974682949202166144886301627597783119703590053664156680395395414404686756692287701908123602364908747604570211676975375945450770522165002639162803472797214809691415740911081997924017685537742102179149729911083415563164232353433
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 2,085-digit prime (160 intermediate primes).

Certified number2,085-digit prime
Certificatedownload
Certificate chainshow step 29 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009091095032 --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":1100000009091095032},"decimal":true,"detail":2}}'