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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 #1100000009127305072 1,634 digits created 2026-09-01

Value

15918201945070950618703505544406264272429275093541485992195923572183998179792503000386705077922470205239513211282049244317139125416945408017355764887127156983829791647622220745136450737662861463671164605804556880538652451499783021675486122163505029046953594624497682383297710610611867165612420640659501714946509393005356782851325395199536253502919394227254484778853205575666410577502637884421035119187126395379633743303779766378013507793523591514738060843163954686805636958223935111188937326983631577384585438719961742477259772836699823411643153652615905172601333410214586481145104951235767520108059165780492052188873555788262934743889032186538199662131894661341447269571120967410406848914392356611599428828467932477278725407303299683587526291359386185913938598031755514207522566216337975915651245790592142975603640878477850072401299435915215996463277453159047455972569229828464039790153310892336535051024869060536224128818479807885344425313690002585733989902679983926406123569325398849210873830941011975238611892672786753182405004041637760969450726409952287442238941645729197128007467009550626429061480382665807273365187121508054443140747296368094383151542834821156820304650695957379158310240573570383885097112906996536447539150476837496781105231703642877161167701906756443554251557169662886328146464679292294641004491130875740652865604700656173335469134018415893998806615061212734672796726332688097961766220465592416315081571521512039746988546014817082374913793255236944637303799929104243549202123786784261131262574720750216113983923070978402130747200607689782211458623923394741636927811172873037934229659739391107743902283099491717
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 146 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 146 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127305072 --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":1100000009127305072},"decimal":true,"detail":2}}'