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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 #1100000008677271057 1,025 digits created 2026-03-10

Value

78036776012498408603052312508442088040254561054914717505768206651008502508320398929004298031945785411573922781971718786207981312673192155395427713686662495612365597551809490483096849784319167066424141444779010095120366697305849349732107169356978111719198973485183873069275568472218165885784826145209972787844925895467177756292060872179048022168111337278076301165024549833393243822606459452755776824514254031939809245018183228270068949719060336836730797044093426217631988068138329807511373768751940206538639656555954818308478207046066975613328483333824872434653962932815799944787411583720010148131461289030908844368797362315207655709770414894454516244639668587037360352663863669904920178575345683766653295367936929030248834262718905757423323996113338026144325333555742101083821760273146632699051466131031251934862211740225154149332864045626892056680418079809324128397612515201495575680801674666263061927902495693912093740474971747158022774602309795061375559330937639650197405479170543458405323761933855471100195266131640607563
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 1,675-digit prime (163 intermediate primes).

Certified number1,675-digit prime
Certificatedownload
Certificate chainshow step 56 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008677271057 --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":1100000008677271057},"decimal":true,"detail":2}}'