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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 #1100000009080780221 1,853 digits created 2026-08-13

Value

16680833451646225577035534192444197969983693926293391493669028398456395113977357136053315460619641159657364479498143437865437205880050816272961062148154165498667946111474183761971064852738083710629892161400603523303412421709381294492420230722073415039868688664960930382869010966929649889128865934913226810148787486263857803663966043390736660208416535617968248535930679469972405550799385611459751605004240425874496490845484190451101636824012451106420896895065680415349057689420560396216600263528021653160862993957050756392627013569035963228519478001260649912841957969897489410171181711921021823841482872203391680004898345087573387598893453434078125629216469996631869809803832197945622424261201980108465690120839260786204820410930543596801229463692250487604759080595781728810864046035959664578847246810327448624922462936567771562706197230580207493007300857315744919056209843723741416036624385124610285342194810239218181554222428561079981315749100608585261417266786138580149084860972451998952185729547218235800572276730593188579872707501502720073036422491310395820202841108056363430179473636753761200482193501486286499046780461951386119518423937530078947046096271504416062644824415742700639752669805597499534788549496670895684637925462282468553623132467296959723588214238560573719129465025841500533233424014678104034610839137840170400904442224277302631770064790648198811044574124028372662240091818246229420790015862737789960547074955530471876502992679076341851277173413232380041228438805761180633784242309323378861092694660140713443595504813476160488746519646310867467978313858426892763693406921381971277306779742499254085079532845110525358962923330365993595413530987795163189640626285753570435513821342103739075901267791501018947152172128841479569049186520166222328990643813809377648999868030945879259449126712273918222084612031777487618320240021212619643
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 1,930-digit prime (142 intermediate primes).

Certified number1,930-digit prime
Certificatedownload
Certificate chainshow step 6 of 142

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080780221 --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":1100000009080780221},"decimal":true,"detail":2}}'