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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 #1100000009057485810 1,932 digits created 2026-08-08

Value

145837702346740010338024474369874145727789049274204472029961165492839970170122559855893957849164709517601758209382982807923627512356724498473242690970925886795167951705072501944485940993843242575370360799045899684424856531426912742421804861967650502450292168382763966598257049315209509269383898285056473763728003724965727261348929815324976316492937847464635410113946996897364547255163144280838111665961214046021460124572186669466907296567013758211629334692785012850669946993845654838659463889916289474091396398715859962520400962443619436606164269205536395760033348545834108991780755806638304291435838580732785616266947422428401669990445835366336487296491820531926432605342077716706847782257378927619495139251996056656772110458872618354126054491672402602300271302872210658493712190982069414686430342997005956673196434072420447406747821029588057186540079022599858744851203328768905179129726541613252696874115003384355125156000159431143443378312748658607476206964892594491489578559760680343225776207048552458357564497048220927020273873759638385810220205362362590191995859371600851301335617618999660356709824722417491603758603418735727433261318221363346002032747007683221998343076173179362875300212462079095337164343420094388032315916776062760475439633664574128891761818809201468856972763237098393589202275727793906016145494237877425499166392820770357737665734000005157416238804021322855360338786923667289918638157984487642428528868501140101958133422760581344892056396523361839881083385587946632957558008290387452986299917590716836402278534433068587405099619199619983442895428134513340925454754271477441333400051697300531014735403678018292713112282792339052919685118918338251373065598705389816161842059686077560711241571097431097347993331804201697042753797033001235609271617328464579015571667431712222866950803373161867670900323080008879559160432613672202584646145078100302010392193324176510947037410258524124276581734339453690633254217
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,354-digit prime (176 intermediate primes).

Certified number2,354-digit prime
Certificatedownload
Certificate chainshow step 32 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057485810 --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":1100000009057485810},"decimal":true,"detail":2}}'