factordbrpc · fdb
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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 #1100000009080761500 1,767 digits created 2026-08-13

Value

638047970118573358068218657877313816887057677633745489010313458179488486780298563315140695617006228443196655121940275730450501837653734529216177799069734288357923439546311765094536191854941497135604088595534823981082949251553595592127889392732987394046171897891354966730894680696243809807546394321923805267332126120814279438008563089867649934885314187683124762987750381566570892130343816914912342258049345421533801785618513502819062587782423961285404315169408793363092826192499356528347839289405228048827958471586656163686086198405931016134286862526099747874676574240750345521679953958218140877521206720590458224447533195032631357958028620904773324892012650164338277792138683929350207185466290687100492193382840616789692869677492600582957860295591188944600959754312823964931944924677736485156276931848334228634503474476260632760171565761058920814370097974707047426834364764172087884630000826091733397353020629805523335388900361959537064026079203594342687868778711883155194729005163217986527378006887755954898159741206548517316622644769872250182466954940695291255831344823079558809033396834624403816770243222892953714888815213661441800434231921655742622620958870314211015836681569908767075798869341349711226538513204959499672670659890482563159332517734195624925317370217765637466869328505493823030122869229653084834488875990017971605555800681225446821012060979389148213949413234138777604287110089667354460527153183057203959851111641298496425899221286042526979119890473519236995338870944406540654685280857500801467885822856624931491047991017166781708479785060911643813264444339314144185161311623086414480803225077787109935431994038033112444604762293459251476452773934095397019135429281131432583329160916032828564257274152679560308465989739524293291409177142710077453133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,184-digit prime (163 intermediate primes).

Certified number2,184-digit prime
Certificatedownload
Certificate chainshow step 32 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080761500 --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":1100000009080761500},"decimal":true,"detail":2}}'