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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 #1100000009053444681 1,606 digits created 2026-08-07

Value

3126073952357440805687499017672351035618312729329932677636436960480486115127279334105855227278472515025594395041965301032469238797324872435467524585202258232539575395435916558446688353166549238852355761047600217083494496836989111180285542518937619287914476553379737442053959207364979663514786425235585106259885859797945600470112645258635237770888332042729847362957841745869505813793269187225345722632270455373480291693007906018105362833020851849278383946849093066208654841137505637293472199295185536716958446423621235066591779768535616755541324368344371758870246829218878119732589532440060957829830465820932860184641255312438230738536399794528786441769984202509491892479117000282098391799999853993166103329754863281467885084070593502931051726430501571956585594113813097130149215805833244403535122563510690988326157100359498317119205201608466082978598742465363058660181159541656347517258586348426545525690947003269839029752601753985886169381215448428629549776670154953040375136553410532572655471456278821417855247160788298611265730217227916043157266055007702034051053057250942829439964045793851667938521563417597239844566340065612671639525148482768156657472789113371847960433725544599510102413709102490268238543447420282497774051242969475221270257310893292461483776332797352447588136271676118457166854178175086709807781973126497848304211064052142263118456213119542679429230625761882397787288881007584387046682576668218757807051270357430828492312065327125772976728297328621416250673198758011884067537199932274263828983332699594799295978563426360044609686437287625020986172549856102740615586014353376999930171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 101 of the certificate chain of a 2,853-digit prime (221 intermediate primes).

Certified number2,853-digit prime
Certificatedownload
Certificate chainshow step 101 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053444681 --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":1100000009053444681},"decimal":true,"detail":2}}'