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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 #1100000009078966317 1,932 digits created 2026-08-12

Value

441357048845293153135834368710295657554201030827065407135864619287237733126757367099080033189887231468309591905856232078915750692005360888848551725038268598795976187709370640971717664263851735626218421386997070260001474997490719600801174545568548268546307859159637406283183770152125640489562740165449156852803950816260984452271154425373189363074327343880302950490276916300060976581802862824609099369121850811361493711722460386025902771811474546514615195030022426503959428973865552585715623998113976649441589249316299126895895755505835138460162151976763294757962644039717331782175531683232584936307569858435674883543451676497338355713550587820306609724214040043039362273345193015023632708042293848728848169755255982284863477935798921720855025645202082089854385013696056048491922469034141113465831467146135361432860985066335004081529684898813979941743640095031563171635356857834400483180159156639824374717754255961054411078059145852639699603779384887591719777892442856603749652544838499543854385280862250505257026295547392285831292305793264690422319198694618257030926703921105100766762890033691524470578968398142777098941964732045510980830520977952329474181801798348547677321618617999796041465141823805931050508841578298144514091538800675928089686191807282423022367752786758806846598697881864451783284514705806784237260095795002831997104090961346275947207526032421674944757826806647602400291949708423670850065152271182211385674066482121231970984620637254361228822302602022688273489724390122429696486925431033084633097679397181356937546574662980533179072454356923378139859832760124573186429852221291575847908919425783553868065845720951387818715755432330677950361327132580755805195644287653073930046127850215272049825109640572601048879504247412803471499878228402024575477007696821448995029540602339564991967072382058598625486689626824956906204240752557976103040547632330140716903196820993277630369145003753993935451797661571519793959729
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 8 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966317 --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":1100000009078966317},"decimal":true,"detail":2}}'