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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 #1100000009053960971 2,264 digits created 2026-08-07

Value

19997797819968112100332748952633307903853245967137574535418473815439450560020755886930826435845436470494104181202134570221601356175610929899311708749533336264586196722569122095090865105531186171992907363589237733893594355871679027746565882330944953111491726843727721050914647992790725494002220149550330686558939067716169391237401709367392694687448449790025950618072988231262846955507193037646798215205532002748602782068749920100961065872638706574623922778426826350276983948179833168276856372609947768039225870035932838542306613748290565443948115868294364500114438582475626407314747325591346673452703746582172217908395409914533798639304056605975796952865892278539272562988321394231045307632180773738811545776873985041018207043060022131971801835212911389078492637763641160316671404352529777572006952524746234125846949120770459103917153250987662685300679346840189976350704472860984371500743043475660601638256500756526570835723304183117271886841491967828976916985904226528374509414646765688381377567371287358104830299025255375287826264865390164958734337132717712388048913381709031297667158265694914834833765152608070051673862045875091069985931582789257043026235868428258925865254723507115069057161604171894707289807018406053835604383559241685069688128861460363542057973137842848618611186476918403450667828048545948513758551765743743803366619872728463958384122640723462861647622360852766629395005221203904545614593516797487441834180563734769030710488506261047222834902130203174235874229239698314984217032598980736004294357385113112850486992837555680336999829458582337905127510139844080491513592685377806366240230841089685948070374625747382270256530079326721637193510429947967730395427966945508250101594802417721295017946071796450958639426162832438625439373337873357822724968443530435724785550254483172176825404592908088524042246245944669633699058611132636452650249814688031698672836606738207013997289176882584112309475594699705030795688352725082051449925958398384514821858425534971406576950260967514844282395080911954077091052012854390912633043904931341831152254905724610316318836256694266675660743989542442931369316085112845755424865417601263506641944219188674426994678711058099721738754712124738542884464596227106434630159473548236699481397467215107947859896625203303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 6 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053960971 --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":1100000009053960971},"decimal":true,"detail":2}}'