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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 #1100000009053653718 2,052 digits created 2026-08-07

Value

319036639357323478935501966148499667903870000825037443432148908135565625579213095143311848893339350592810400511926348694215214549407446304891150793490465710741028970018159922448261114433588293574743408399862762815788690038214016620522186381280310463012719008785373388897482120094299757951912447504907738601377708232739632097165638483468848313408476801461997409545176978421983068154246913472790665712685359223792139273926904136158639638160225315838010433751606781453069538403795211118906108736146329492571199903250989194629730730150950331407649060481180158608179946869565615827798593431878045181221829646681458297558354303914318147091775734241097256054486989809971051323199588992745631677291293924991868199514225806283605250191397293226643843838410237024375007961674139268126970044835376409906236987620756454906139846530476638688945371849441192325397833935378653043864963160331310969895780276139677191792872691495821304928479379950364980791441668411740697193165109517181403537264198385342863606379036918208222575487599010163425046853082431696661228107061970944861073488751057168925601416920638850984925380538218488857273580899145234870536700114336574090206453921133611174363922350562541845507510316910146922665459492676434748357017571605790333861782688310032107542505918843199289540581774879708464581019993359767025802193056517548253100496170271057523455693164177856508469793973009701909574413492474927779576084379576191532280285202885571468376738001183552407772446801669772260609778974535376771136013537577960812756830415936866817229191024874054336854502236838853646651337821624069589764553814734217626379179351687280432721952925581699426266313179306442998233090851426887712491366394037740851803163462213434196493337159671729906512932327080132966770054136750267006456089888114859751045989632653232742864201102686211409766753837979854746825433973724738997404899993176610502549484944067620917214974680542830453457049656249387901064731818469423668996848241206040668751556739944804679818647362325669129535190907518610383751201321259943085612966457621393043
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 13 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053653718 --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":1100000009053653718},"decimal":true,"detail":2}}'