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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 #1100000009055122551 1,983 digits created 2026-08-08

Value

168972692791352082171332533109166920439129728901926551331277527193435892696058336034031085556161663544564414174413836967438004290682304930487454721853081091615902035840927306220205347377561095041358706990159946547856443009558565681709581144043021379383690454470664939640433571760870968209894388046156078944197451714865566608749910028508250660158511353385958824636123025076318032452425571953519159011570535271250974671932252748250141683539655419027346869823687796954180270291085902975037758552056600698274819228974501061486340600838861220911850499216010526707330991050308554595589882599123669263241154697812329974531883314804268325942621745885939351322756366445683229392561310403506631738450204262260648582032671839617768670778083425835992454098080246970461480624411365254819337743842355748642620960012453716819376028072745694561330155158652937291712051781726838993443062762547721689736530583420761077988389742331581734120506600515534100888758335206399355828879915143928918028559131898474998925919956229930874515700630170812482362448141113881451451832331116839127644037719527918252298719196588318998207705586018584072315150164258491251704569411740647431890816218752683511664493452173937341883564949198920288787573230447740327997955158793972161770991875062023935276111250661990193440861994518449982019298565674105899013503966062023708279452936803474383019393983668371095150899827532234169025739864257792491428387969300661941688347364408773685533217312892203027852282275469665737348719330386673243013660700318698748073117676547113026246862066848439191817040272467720977792276010024394019912534154685285886067931224067473758425066876480980242195700756170790449358427373733071462372199424275684066045560430292394224144620634320195661711391014505136919450323877380269736205207274686789120387844610256373538644703353141805301458329119065790961378198783602893154358880281812327187471130287139487416148556792694883413184617993074261477604037351680524776965108539259030937277577590425439589439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,419-digit prime (185 intermediate primes).

Certified number2,419-digit prime
Certificatedownload
Certificate chainshow step 40 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055122551 --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":1100000009055122551},"decimal":true,"detail":2}}'