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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 #1100000009066713831 1,611 digits created 2026-08-10

Value

338851796077284735301683383778710593467490634435985628300603130758062210919259037821452953143756958158305579064582165140513648016338145152510305739270008038913806503461458252778492338747131171899138987038249954150380752800893719888793709749998622880901907135007407329708454273543022474437092348057597407619085967390427234959600306340624422407150341617356073105159746440255990960333117564315313192758300257720395577846465353996797695461725470787203733098734184397173075272720605389112559640660681945391584707725863558228629094250873837262937013405704697692755939451185720311330501549915991099868195432906335537233583566163231402947715848844930028751420345736232596197299315371254327699883396883066485014793759564283367001754970560574613277037929364485699772821048839497766234684092877154370713592821227188697454649341841802205202653412758983971055050717282162802930650526107057756561432985704708989637010204638573983047316207607755992302350443496858254688160032147372200198202447876597608158135608490423598069401532843231826020468580166014872468499626053575755209516434647822704486451724364480536331413811308054527048789003331170128497822161760483212077755411493237310606494720492448150803142147276340559574225595615571890892896981848283591987637044374584138195738364212191520671466040407482365244602050410393266875400313775497932597462522446650896543255510098078321943035512691801540384901103821252784330137312138538681044194966133429591554854563433781464695628639689008598080840008446956250229456628540126444430404553591095506428410036726409596275493747506504654604170572805354074383604876936192468129425093799
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 1,724-digit prime (138 intermediate primes).

Certified number1,724-digit prime
Certificatedownload
Certificate chainshow step 10 of 138

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009066713831 --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":1100000009066713831},"decimal":true,"detail":2}}'