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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 #1100000009056516281 2,223 digits created 2026-08-08

Value

327278731374738581155441392263859817652746569004536807918439360133227933335674145247211843488812274167743043769318869315145387199270558924243239166564427366392718730072060318857008337756788896724494762227516100375545525178495060149308732269476715858605667361374111849262379947782685547116762388948241616772244816427755583816156619013834702032402447925056344993180077523133818762024942810429232923685818739782529417557980530302578553902161586290345063803551446837316878960330227423352048878484722205425933074427594457557017210577664585910710890621350701301557817589644290734985764550416325666445556424694161958496930402165108748444032545379041538830558626367816995159153871199854699894220321364487754005683576735968930847133529489286936956433553581251850051430195461580866728525181377743923061962470825182730947697937172808015449380370208380228044444511963977410039981460065189322864227135720761057354207776348677511365298862933402159529645720864664411562447234505023830069147521561587764452240957149375117209683641525157644875381553334705905182685537262776504705406319451299281355168683014483471974569874923869229788973978368732570850533899534054858971397997971425785816038226500284004660524838231342994801103153634977279686625310866558639084294755473967189069763998954566567077172750386091243676120200701501438085555616128091185550987675778235819047506314295641211469070653161128946353852747977570779607116635016508905715952818377264603897816121548300690293776766856036721597339800496194066866942081131940337307177535430620757807423711673603966738353347877610123245453434295946486336134316933142569739010463131326754371489032042505310825600315024725155676487390976105901059870661071622520272248667346506010075360429635862386148814225953353204524194359314452835516662646361378483390385371234575598134113714261535700545555664388914194947883698599803811807077224755260114956697868885475913523189758071445160094851488673782051994048138545995826243462392598754958071094284738982705198754297717897555392786138600423923753429985977747883155052609178724142556205875192662876225250857680074526429373396761658118584314144860061329376441707535189042569670033504850519698652243768962752694347559103285503195970647365784924058475132413
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,434-digit prime (184 intermediate primes).

Certified number2,434-digit prime
Certificatedownload
Certificate chainshow step 17 of 184

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056516281 --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":1100000009056516281},"decimal":true,"detail":2}}'