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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 #1100000009033139189 2,023 digits created 2026-08-01

Value

3349035979118731012993502924977328542545932775141936603256186055588827577379571614133520839081342794669534689423925589265539251843654426765435585869583304687753396745931526644875210404682398669903525561488238121125272199519655291936886442709394882135015112347493240177344817637220715314915792523238471351277537020935623987853754078795882380013894036630684607733852402766189503915735701127454608439852352824272931354765133845075324354396959223851355161060213569324376760007451042529190833603725603581035994530386022063851532004949057649845004911191049459818722188994595111064391563888947415558652595045812110586876470097541988901148741545998969404925523387221766105574747021628149039642290093308902381108042989729050319246167294195354290588335153820048590009459232483888839446187770859629120162323139570587819284204570019850374071323271601538801735393500684808466814268959540676140258819061267299009367480240566511422082625755518330217714389337066329256367878386179825909261673253543493522446049184437137522197954639515344013821165130560764164511846871366331558934326998959447114327782181251122166842595847409777043078796372177303189053316262957748177594935833116224022129403837688599447069449699004431265240272859770225733697091909354134712065358421359090868161531751380139604759449763756425517038048969777315313705725631917252216133948413619642049882325208217864270917803749853906746050787567276884231641824507779967592106659493251374906225859446632282406287072576666277520102421256283468771624216639900872458762325903285766206737172378427044972952091823761976060677992795790578529986680832157270180828163331422662275875376327092526404951536217738906784118192605288711070345320285321110548293393447957241742611515928875670643964876683734486190677103010428948239266828897076030156135036930594258185925369505378978966519587458009227289534251478886784867201430859577573605324717447648903754450459458219591903178228676745730946656336196595308449219005985619104269357609566070907347806540453921532226664114849548460014625862777
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 57 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139189 --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":1100000009033139189},"decimal":true,"detail":2}}'