factordbrpc · fdb
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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 #1100000009078667322 2,467 digits created 2026-08-12

Value

1629198372526619142985459262773433559563916153623994081021139117531218020457111952167723899117861897197935298724141976011945801250241807786510662275113118772788124716704009373001200676256295900272637416740245075070955842714921190945977885074260191237006832921235245244884577057240810643325631699893387796138435111776638550849105603058228554740611122945989900576457712052503190391565863630673361811765929688521664271962996920498457924854038860863676449712066906943476981784007993044826343652694018646171147723874971450408808230692884616747697094281694182448299958567957888085541408696757689485594191358482336369558380984078752291718588969885022619388280295479893298618161780978947386932702847158504623112367113391590475015050680195862032664184397546260318485191736912269165630943561483593323418578505323199804491252302668281617000404879798526501348198578113528484443129035321446323917269467877496814369663860434454114282745527953730044031817705850408034655655827860608850428209154044331354345357646790381624189497120824375079419098175933218253092485794672373911901532226607592995887993879940356803874636489397738212098929240921598298222237899996283037659542775449702066844451447862966200262218311199347748611304712860076581021479469362739044870618525401479588472908244604341108706270804342238226793737268888962514595118515268557063201692998735168096511206246774738315329625460200492048170997663968143646392068766008039532094245752740701907713204558100538671781985996262849976906616934023887524605733631449209358014964200521684006908812854800966684542876953116739993276098417347418657362614000138674366303102316473487321314777260199270957826242616739556138163726808761209697735839026874437841425026220961327558413130764745552832095296628650825261580295123065388432931250291862596441987481184993347874611528791337670816673971840552548928218505937496240757967366559694849496385970426866666252052046534829158760069671286259042422398906784035446125641519609475578424721807393734375601297725814224239663419547044138776115970285678960725208808684969486887588757521709342562047215630884310609713164570493591856015612311332167370412163108977846600883481963909563881928966479685918042144136636478775152141045139176928177748963152085236028748893798159386458952692745100056618446741559927337607638392806392619689828800913723729670271531719362522068092800361470646689343408291893297819818562990324580931126603707657191971453819809559463598108510210288641768375249946435006612127169
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,952-digit prime (218 intermediate primes).

Certified number2,952-digit prime
Certificatedownload
Certificate chainshow step 35 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078667322 --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":1100000009078667322},"decimal":true,"detail":2}}'