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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 #1100000009105165538 2,112 digits created 2026-08-24

Value

208508333135276426902134684768964906734074671511910454454604919429120986351802760908007844620400871888714619778129550857524226264598958257895929487179025273801618756378000982110572426670463697364964160100878317121922023197829637858617772262286601097412960834493469514092335717533697628476667143939213273713220070376706232205594107815987162373064344111974301417398439903746642490498813545754098828273691611855327705263990338342547040895821594231648801277049624857021177854675300133971464464786835432206808802176222033694853362080876162737128013135001064950654213020570480618245071386090250767275071533333785755805977571850047180690643609601548043463612611127526861834332949396520733693937308489333116347954743196016604070012154642934426654436946478734598882388496723515417965419296277811343584985610001793886972827110739237885373707583134771298779646046794309261494812211528018480133985039673696377494627103310274638666473035699587350113363168236765230381327550134837118023752523451968678165166169697286288910427376167094023790501402646856985858226639599019405315520965979884558115787544178410471720766006309628917537369757962277658451354599456635340966816276315358661251779199830742466049867917118532221247745628487060696214003593505597476116334276613258564855192097249683896643847721141566959122669936870017215722012435145090347699202363945761527960047429142122123882572923872612302030015450409427920719826364511863200534415542706053107006111096950869312157979295032658383659013470898404518909705570190176026099390887066306635151773325290640786293138948229654297296474748210014422228815139201301289284377469899075535700342843273848796872736419217882589262865209298424232296808785299382049779233453319143386180696337001683871328547561101024721966888313144248464273861500612469508856558278218032877192351098632369361794051013146541685234585201119045363890596438901322868496235373614592927283968636096015634404751844713479102210811444399687660934912467595266699263612268669346854976539840276740091766286124851888350870852141450324841385687387190241833410116716907871206938933940907251983759784311936816928306833257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 61 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165538 --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":1100000009105165538},"decimal":true,"detail":2}}'