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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 #1100000009072282321 1,955 digits created 2026-08-11

Value

87242661192970975260274796344572172805578402762557320393564058044684172615870797425850543218907973113664175201317384349887710749183814934770132622817398064412602655948144609960977512398761701582393702346880248355425463025060653052185356753460738845515237774752322113115498876947438697809089254839480839463223749723963902756687210871401602291058511376890052201977721739388310508393624802963545161902811804686957279924815123291350607059039972423675026172696899566295384865848945614464303078313663472479446902202552898025095001748183847570831807591508186667210676233246210700374205380463867716899914556847510891166268054069712964898453751641227943616715284857875333005641888192960731690588454771612212067401268687241294500635534452418778959989340720696283684544918377084716488563536431546135827644314651500132014082650855674369904020591978157739063658567095623582776101162764660283938766334406825261291225670095554945813205136871632880808378649775634247469741521991098296968911422722039140156767297142014660286553739076433662574765591987853005896664101636956201845568423695670939596831694301817833107764129178137271138128102743362257064718365150244392487580489472306176829735118430059481349991596232363284677135937182422999182736262968103605839704944901731989848115387601192868246497224752241779259208124507992429492392798616770251229759947460893913315480009876588926242473575758999997463105932157990226738000073382659446526263352047280696913300508205569486288548379015381914638604097786562743585685058445169098124014086761075845421522765387475829578445248416468008986981507600665529263200030648108379312685799846461286326235876658283679794927733243931463572833493203661913411095558562053854565692571054952196283842910758832294514951381183569550000315265006910797594324052056444912107316404876354470302190480592224036889926437967938565141194343796813333809008624652992081974182544518454585147065616187553363462674188586862722605716375924761205279463992930517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,113-digit prime (172 intermediate primes).

Certified number2,113-digit prime
Certificatedownload
Certificate chainshow step 16 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009072282321 --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":1100000009072282321},"decimal":true,"detail":2}}'