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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 #1100000009079730144 1,530 digits created 2026-08-12

Value

191677059403385273742935699640902062549055789303885246545600675030229972283438798138030847501665017180567338970552683521122034328222807214893453406618169675875898394632816280889243392378376672780296670238815867541959206319643067982111071995510241876866493475244323067173576754821023781964111883354595863674459494082507053376617204760088150084464209559568216938376554040738783057981239803825634505159483742080349429832981170981397092645790802638360579320473286709096362654687072487305376736559611401599519138893333382595940134584116471198153893212000301857839910886795155449165549489215622312836498266125535561285457933815203616134436694323923522855156022990623963206897930348812991437104395124028991822152015936905572620606738737811518319960456680520782925762729490630084439818753215022349552344393916946153146053767095371158875696545217603557841664193793861238606222138436140215599678351287902266131452962578245342769326605357400527858272136014957464872649420060004612479816088281011592631503080900041351770394187737968333074572378219086678258824601252701889911813211959400900535415739128243421381083758630464840213444318177691843538988784043969854866360122463342627045230397520768218764915986263286724487868179474344641040076223384449261812081032927381385068146182662176289312432440287014007345103842193431855126626971685562560337733539783036602956665687003386329311792097289803380785427842206608428624115280511201045476406607384044388472034433612537990409610870037373167803535807242144828226629415861240805575780154979101348571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 1,853-digit prime (137 intermediate primes).

Certified number1,853-digit prime
Certificatedownload
Certificate chainshow step 29 of 137

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079730144 --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":1100000009079730144},"decimal":true,"detail":2}}'