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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 #1100000009069116085 1,581 digits created 2026-08-10

Value

257835897096551162662804004387826242922074748377498972823848630408274385072092436262403183468254462835165722844755703437718167083822332810889351307123526004659325090981386356327569493016495380681498867170876471072273169030123400696126775719717168925438042698684471695616408680956015295375397896135865220322563608075293684477249633698962972587848938781421605727899734162389606401594823178216950906896840651902750819060311222981276048152948903831336193671257228173505637304814845296634505449584849155466043084259879296957298969860108468669812171168626284678312144020663724644152711003304637115052875978472237341954939141798665502421606609412743905240510174049139061683443611764638027483323557881990744580486391262915321630435640495611811949203569555579009578930070374050714492825031260961164750256110034487296443061091962595509411268744015463449732304869803757604660619833693122320482088037183456102984594927792187171641616496570091175649745595462122983657627047396403956307278455008992983632922825081702565054180723194755360197243459165652474569895419205124306519950597700738966832704672443807317976088882409566782841066392218108541355063268365898347046309874170800294213240380650444192527759321101245557951805392137164897687663614774741709124650478466896342463919806024205801613099336828020556045061345235440209484257494830735632353778766748006844271543420995527467903061850745049418747056838419022175372644390087186260638855774396546279799051923502646165618448546193477711600185813221820737109982096863002353959896554936252599297235937583365946902413485335983375153048380715661467
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,001-digit prime (152 intermediate primes).

Certified number2,001-digit prime
Certificatedownload
Certificate chainshow step 36 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069116085 --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":1100000009069116085},"decimal":true,"detail":2}}'