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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 #1100000008680827225 2,089 digits created 2026-03-12

Value

5317592803928104064359154464937873361367685868769106775639058240627774245811842864504606033360596354453005227597717686594309816909728275633769214940190131251676735792146207618047306162528206167165651931662374476619315200132741128988198997049310545372268892071544439643128565103544162907820869399579738106812980274716467338793081138246651346733909943646502899813317245287054010664537995693736653323535144989557429984777514970414058027282755103051372409020117368146913616769694680299282196526521204123577246269553321997587891961302562325199691023923329214694348673481948256425820378236866015531448211919045181899825644732267153912350187499805883406736018361444907471477192189110530635199476344606349882115756693343637981086503291576273884209809662763378751506373043569301451695989429315654023272355048914141410563233565073532512014649438510544895154216770943243948871765777444625813557491857127961207785060755171768087002799148677513030402038150232337021876188399337328312164048512210187207944871305264589992550103927367845051733074599376032857882509882884818756544904140485676011934744998893432580344211519506441882206090420846331191751060304881086636746526942693966480331001969598972851325119578775734679448683993534242289480572557222683653955562417649878684375163700311260028111653633585967537283479860702688387712476824842442930855780565693953083787200451249370245544359165637219297876699507144846303204561955825289045728052512634884031791505002927325728006571116553345244969360142360090769684492979910119372774816838084461675845293563120485925376739296773420176640366090497124245649580389174353748930203716108348837982431868898348392821137110328260594948359186796250402414705677659252094451675869369858292388458942044084777220094603376688243993551031232083408228286903133205284435875380965156336266337483213469843000689768752794593711336331003503620479192818280705807356775888409411666908578421961404597240925574015358146910152969245721697053171728464122490522653420853964598500252427211849047635211383550306968237944234799181414824730248150752852814647725249765007325108553905469341953
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 39 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827225 --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":1100000008680827225},"decimal":true,"detail":2}}'