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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 #1100000009059117677 2,157 digits created 2026-08-09

Value

106399733867649840562128608301604634380217896555098076591487554832603661544660469466533632152628079579051339493214473172972347801890813798637071561867468353240673102769674638826003854021239567003691185884678170994435296067832513464820806904131446445381837655983578832283025866446386597040798507322162270451959434297099899817075923218128644328373198070234167445209938157544016172310237251533902674610161509429439885073521817374693400581279868719942223989662665895164601272872151878149628648711307191467152842449022656273161543439918628834456287414785683524436571337769161912088032215413075767401504277594928695982755360710909653282150123663891904166841032058269821669642640916502258751779890262610807690051552916794088395749090356673550654215870086290103486486397773811742502038165807058165320061980668779961503575036643754459627293121261973118290422649182674022314218798266503089510319746602819353759473952210115582428493112339729014375788606609448921822233787365324697287100876063660436161562323936147804418257004268798252812974930940699472169252387203103160338065823415939572707950860378948664906212450100838593096604407308596505773210379536775033992104230200754274363881184205227121749324244819735046919991036844246590901201181808323927338564152030721677021644444889414914159047542688007369374228537216359447273015666648423014527552594877109141188222424088689237083342537893610970024269558378053271851694886413541628281456527046181077107178371568120373995872140126352698977208208425726979279093413959470047295055083852972844562314860906101842406699371968097813758894204649558909283835067741118725048150560828085654057414559458934924915568485097347257065713012814601084724364467092560719472832117610020623037654253660236001969722956114931899808281541345500170913155597549918486723135680027847643047759587856843961908060923937543266217284545363216610614191548585655923520601149104440005334282011809044541845410012422308083908985460074384877777747528572873926439477516198615755664279281269013130468187762018749159502615167595694364044873092751093256235697603817281514834091251964888843604461286332637578427289444132810361487694827831289309211586809096482493
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,365-digit prime (182 intermediate primes).

Certified number2,365-digit prime
Certificatedownload
Certificate chainshow step 18 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009059117677 --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":1100000009059117677},"decimal":true,"detail":2}}'