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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 #1100000009056331831 1,067 digits created 2026-08-08

Value

23512609146303820673731806662886886321242672255935974379392085905067840183757921570534490177152423544046155043690367114882833642543815606751210030230457317689023236408493435845807790608105811736998838244696348371545932785635451034495020356832003004119853288635068772210660035718153307761073766145219491972632196728537393980787823664158535936727099831257487257710865609616625913282806331343109194018418917461805759372132363285497549605914853376915771899296452986096751250783908375090646780722526427842698702847340510221270582695598381736488663032810878551585575588536680066767741069046389257471112791753149482115419172661390379014594321236963874758076570527833190871417029707574697430836800467556662863748875846085359068048150060193319266433190899475256256888102056845783244882386723030420953474014284617104342580319725999529207525242651986942078104678910160915560237731031777307575609328002802723384112886587308129175820060691043779500605382352264821029335562478045473243038012381456756450806282153662993130871273023050109209357778222569396507455796483514554636518479
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 1,654-digit prime (132 intermediate primes).

Certified number1,654-digit prime
Certificatedownload
Certificate chainshow step 51 of 132

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056331831 --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":1100000009056331831},"decimal":true,"detail":2}}'