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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 #1100000009043221588 1,227 digits created 2026-08-03

Value

177187251512236369859309308552573263950278814117529315839242885232829119674168846397968193400506084873730846405451154043480061046086552435307133493060639710438693683602501326692731701595272139760314397099973602738788121150220114621770711080300287414093742953756325254029414082727984084807931210012840162735741879084745956018609088347860127356944943089104829437620328237943138695165768941988251585601365417255372652282626543592582804220154871991821472940155190259664777372222909955631402836232835316001820199335348489539152991137337111920238701296750874065421190604627805909965020475803467921961148809337657880847286888897616266181202910370859535388537101022434423637834032922324555734456278520297870720107626926854144126958639220142484174814570797848036944062213944556836469003074082237154237938352552920010046406796584698471258468959659558589081955826028548385148358875989512923599684374378796141474065321530466765225263510125554466200559781429722891984786570800421719684999347775222780780567438723065540797235162093681815136427459893760848774110765805157930105549266277238705140591972964504268126069055837951892046228674383049103625842844727143083462178672717775649324927474256744733665961859846726505218355055209650297632739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 1,351-digit prime (104 intermediate primes).

Certified number1,351-digit prime
Certificatedownload
Certificate chainshow step 12 of 104

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009043221588 --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":1100000009043221588},"decimal":true,"detail":2}}'