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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 #1100000009058378242 2,108 digits created 2026-08-09

Value

12773764345728620034268028343426640159938209748395287709058129259477663519014340394231435978973516656845936016567641780177230325734668036437432500624710804411182480000674838380105215495081891318426431660057126897241923762360491083639563020017452694451988944182242840136808696419029431302000930526671144174906280941153685851834365620240619481442133133798112881430096616300295157121840022112716925540211509139476923722712981525855982323448828985518178831868448325175365835391719429182399467546548816518979227061912893008154383768428089973749654613004625580866368765355241217854304637028193074985213986098996642225381487166273753493954127628868208149066871285698044079832096967978978339584367841073563639934355125743784264924016214401608140036244849580167529681784007177584730394512991420745576673055355810555105706702379757784868062022089699683149997654667072000421087373157967622629383995668326937085713147689912263099500216004074944769430899711023901111365867505969995309924215376529297745943841448823189523931891801075015733756409014055530885804287972159374330142278351215665248844807620062851229089596296234193928789087040651922987278211966197916788545950511089825203468762148098426665136714343014956757612969906604013695063259205143075061781707909663169658336128688416121957384831264748312865389524229619750502498521371895398523476827719464704252290224237470609629141424783025320950816636712223453745254622941966076755515512458593048012637677740402536401715216632005837110623710389273015962620517805860188471828320307123742132009689089858608142241853507152910298684410040814999885043282784258963658255292624381102331388044804685301750781571548095733757709147400654014826036725494202984331270742541850520125390678167979638033635505054676004601334135034074604686303286555949464882193542655459032075780572835489670186332063888141808084865512961504142325495730701412265459605193866332013423569001778925868173993300364236859823953854405213226742769714821874338384106082926948457924238417277059650539044241093338051092646288798894991188805085747005578642216608963104043534887662297165875379285565977971941559663
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 38 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378242 --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":1100000009058378242},"decimal":true,"detail":2}}'