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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 #1100000009078199689 1,849 digits created 2026-08-12

Value

1565242576675065837326078992312193607467319584735392104594473851430542789543771511162124057624344006571707513804299950139276265675035121529376782767468778265053638244111631827373140098572092323554302586762298613730241189195270273366803847075863080998369090790798480267804870058292477181719080263691968595979258820916531274448831335606419352739289870022667241624305152796947306070929882512463280061887433094978967336553922306739257516541169508082975702155756344053526220730032476400793861609621720007832771652031629343301323837570991721567597454227173406928957860114444128471732748953267680111221175579689001018709808610876353228070748607765069010507441073228363949356827264000044136510003679344032027893714931717267404552169193199054159459863556485009437769276212917516666227527622100038777631565551944602207498385928933430091288884877253864905941760535465792133767163637274806590249534548292924803949472351639600559875938673463531109525345970874003810963985362232984029405047984224300057591769428047236156798039112952272350085791872037468050115552263050798722605388333155283187245788279618371903239738075357417748922239188581685125925283905563527616458370178746224442521864409635383452172530141213568381424684977910850886133099891671145657335884157125364044424903654278804866024616126087937091734162200762896353560200961989627066015132164603548048757327885257284821058432608726658468515649349490494800852233143691070873110205800155515538235963561266381185675418513245410527813150625622339088445307295455411121048049157446062432842297475998143506199683606260691413417996257348820865997230436247933167388801810980648454635715712704785622677400177308812302160603361288533312894819127857845935478229477341320156074641200697988348506355041755424251998157111389633292763929514012643987767157659697747284094642847971748820874472081577847675040999660146431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 24 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199689 --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":1100000009078199689},"decimal":true,"detail":2}}'