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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 #1100000009079526372 1,787 digits created 2026-08-12

Value

22824967135251679775907539234618512652328855701247449884354202313857588346487279949585852849389899066339865099703488982880834791835856892625519976746026836509749646955915021433037984688195512371483284486585773177603084670998809272884851748099686835689382086904315296376309052871484472958883650130400876828194043326925814716920706542582988001837596450471260765421457443375293948143795388636027449670869765667128453721146704344696091533297358904313802532069096673411671577265334937235183024061208657530802641764564806190010705491134118284478963991275569628802572287844299699880194686756452359041797806996889632785219308267335935832493920175188454990022838752476562311879644312323564736530503373151996399976069017422842833484641490129772296835470802648052571806994582846572353376521589241167770125993403026621674952784537162387545393838366154582918404103122620606682680837150255363484858840262030016906942910813912690203294782519206138123300951593589440569096539862064745288327227568115560105061960467406015156099689637486332033967846056363406082701378211247942407350470397052461201575651976205723188473344972377058306078396433641214569638857091458703826381606699866762352122951142512044056643770658337748943531358895198594783004525994770572346244643515123366684784997071062328337165201795923723394595711234111144788579871935017555355046958738701990396548518989867459675853791114320489374725179924571623647282039612119824474746292980066959378434148819602412656456127822686226401153947733952853566568811080089136457613076522691871927796485759885952799377782904119277527969207441363711233672912632822865213954236874673321200397159311541597667052153647417455222077482986476110351305955069214323247139997689274982598891185620534887117152265530473701531585249613702598176294928052495222471812003
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 1,851-digit prime (158 intermediate primes).

Certified number1,851-digit prime
Certificatedownload
Certificate chainshow step 6 of 158

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079526372 --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":1100000009079526372},"decimal":true,"detail":2}}'