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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 #1100000009053393451 1,782 digits created 2026-08-07

Value

291950553998227590327272476357806100782135296650979288930801151835092218082888026003846123932648422314204639619330346653877293748202465366112567361501613608344218919689481070663085707124163007718948813967400107973494607830590539407427868212100742006937119203290355364702455526606533798369806354171619169092489498890150599273514548101017947674478806095280723619890222767266987719558880686372842684743518211845139495997311905236662213627568657976336001003526137494991466144782926360958190906997741671732357657556613920400560517477733043962177308917127983804865242539118712216020295784727121912706484092106495913644615347716003706083795783184471308097977955625590030398308334643081473409565862772377318048325411008242961934530245679539765794497536055771694036772322384895241489719507555655569087449976944620122014813755740337836206543102188521367955985376696585295593272961221995171180131744133571057721641904352633321897220107987126102444781793250752757809770110857851093827649461821729178185277910428661848121397189005399837656467111012898689629728758404239115017487180968011597228835327317251140982773075955841564044869836722852854836538526316119155116958760981422876332192984092288217812835295122910147060451759594947838598051689178462684730961531444018487648302726008012352647001298787623299837333363662640829038592494613769293922390273485985001647260626833786096075137692337498999197874787409072258052454297253130463151966700939370933502030110839041902847000430332143463282268383728003704162112146767457835571524036754871085090406972273115209357076151564067716099688449314142120984411227630500165739612495364654486704701976637762342386782805153926016300824218083640793873300941181061332403982218863473310078358208546176834311410054067263243785139605445942692861436389080290773761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,201-digit prime (177 intermediate primes).

Certified number2,201-digit prime
Certificatedownload
Certificate chainshow step 33 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053393451 --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":1100000009053393451},"decimal":true,"detail":2}}'