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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 #1100000009123068525 2,086 digits created 2026-08-30

Value

8461867528262935471250306980191379358567120244409658966498946211852631277648162451153931968096205105864378187125502816319573919603067409423616049728898555939264036196978817775841724941624430095101930025316088358889906295812135686554668076902066382711477981151208797716471140410661177550052292966242427597490990705568845226997036306822302418513973124290812837064896631735815059173856802881846482972681987129809311468111855698654904737710215416008098801867162712806223917496496438711575044272786566161228376328545310980576556703981053169023556431445834520896114302306048278438761484133638792963910229552759050740699899351957017823118126173052333431736739730843349207423571256648558388365202858179152130905715696625936753496174846254601340849136582765545982352836045039504390384352990453502363535048196951420096657113258916563209499949225686497165275455336871863994196608397169198818741060731603867519572693174520421533379721904866340034075344275905673812042088750106818152909025421830770228627717007550219569305508942092071024392698176123318374332602821114500356662491649718508716043928617963090970795469359780226681016290203554094367228947446485300817697698166532112201828748476613869050416911217694918670992067517507227554792059645161587087191072804931189297826945007217094307267992324059667522550088971871482345676608103184663237405530600547921658091340180733385085920459513201899435482563046583817701017058230120804992559998684657194256859821525050080755339518374222537263904692858932066809139569281924525140833770780700898984344424502549825111019782037565398171957373134186294168343811797363696257980853281727388426591794819863341989677157517852025294166620809499402204292183310640114817487449580334139820592487610241405974578456028157632952635130545970294755581522854203061669844294822445874992921122701977131278048590276635704562555550282539792449737133010141718601630516422682080257968413116517378785496404539288223318151385399608481868019208142429681573439525750417269564090690635891874986683804747001491418516687654829706989777990537500879097568017662092986278473474327320121129
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 3,057-digit prime (308 intermediate primes).

Certified number3,057-digit prime
Certificatedownload
Certificate chainshow step 100 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123068525 --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":1100000009123068525},"decimal":true,"detail":2}}'