factordbrpc · fdb
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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 #1100000009058378152 2,255 digits created 2026-08-09

Value

19268442706180972325778040039245744199265868700314719580003761011844905961566778887226697509008090837955417449827708444627420245228734168883343375314636276627774026389591595207688445276056794662420771340034896659837022030161923124159025485595057667980889611199043009635836987917434918418797627842519024027522107933959673903886673635498717264022359208079151504257555374946488284749453310113013826182053319068665533136596273582153925531020995094823940982720856454526862512302083689253772001750852305476308463398253004130053109566015414907736281320501028905241418386575295086995368536248386554565741893723625397263920378924468148349377506685684556985495692090761509088671922864702226519386670427087176848574857546857985489424993553324141511424416864613814422355418285386083606128743460050389241558786848858902633548505707664558102600237546891841789827952736434653934510849940960493176170650621465614492727397292401113030866424596488193625530503883479029826967512042234496995016676533349423130170947291517493410551798009562264763334851399721932389291926132855129444812376080755602740762237359685530829679739561524019543712429864995989400161881093844249134212304299850743512498312260942352562791196712866150128611067698127933921304685442136447496641873873359765538184390633799300679901947713159653824534254197223099624947889124598636522644650358015155607449461350709246459424313816708472435868222551826080545311692575104807419892322614569307330498855188051651305365722087916047990027871400859388544922600676286324431612943425767883703784747937351882619214234837532219093566091280431911828883046598174335320897790388981798846418192152280134548773782828371508309858271626966264538693985177455166544678327631790256038986063305017177489579152676144959539470557192908409798195845300344337612471694437120388040341991458069045021579146830346548134625061514603639792371732991772201663723171675025717309301438854262531040156807600950022396675787995807473669121788261649903854225464749293398656522776577472387030950146362157949257804170773789631176605177483226827853483536420117064421294229216478894639700229386798086287217592777078858295607741048193801913135332711227062682862871882678829865186243003880277429448287434872445002838727655575834301058563981977953602353289
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 25 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378152 --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":1100000009058378152},"decimal":true,"detail":2}}'