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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 #1100000009053333815 1,827 digits created 2026-08-07

Value

718967134729063649199304717855630037944014438889662092847760898090846597386506587927450574224395284184972890457947064055130846306605276471787884880021726722766496109356450595731707189539535978210663283989982673319887586712324804030677394824155774388615142099860809876223629429902381200923437502542160796927792726190978257448053027722493523718108262053353765129647422535013063473056081681284017039314792824407378483543678488913560593860908651969997392744893163552473093603314834883463833473583983108394703405263819421235181482473236281020006913330504355008817059282476762977915767614248944848398604132736369584151108589846128301316111596644896758467107753547679242082931072330876671681366481566221655457532045518178731819716520225123466074980462758421670801298846365897048217369259404497086903149223765883551171776598357237824972392378370270546882582534977473506779650575409894067690885511193522440944024769086884180198526204254848071455079039137054842631712129638905433842054602310547772608348669279310776951078537717889093204538080015110003765259573560133195185332067511992108064318721248166612997574198262782442549975567004369956965956179767468879118547144899106145552369859287703596533915501483225938538132732389635415662789892733456746255731965747256128473815443446707151297182726594138134189925719552658825615169346229787825815266275678980063648099380724557326909204955924293358171536501593341722789230420730304003694872874879673863302772029246301001867230228379343746867501088284723715881108846373603824053779491295451157197550227691388505265390525001432804068415645326468394136874413817120592949889562987774910940335349751044621238528880515108449991027951009245885106506188003317627558384175471465877728274175863745635441324362571871380089729518437963806070316139466962703347822947589551425543334053711947624246725743839
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,400-digit prime (177 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 44 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053333815 --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":1100000009053333815},"decimal":true,"detail":2}}'