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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 #1100000009064917481 1,919 digits created 2026-08-09

Value

42181691304621206557584944434694324656756217101773617439140484116596234940997612658761939526696072975358218185647018188497277920847983133539843031935285039278485324173129899938001378449238845391568363389379926140689473731587769387690226792500147471465891279783611068528423871860193449449742517299693054313121586112512226397490593349272880971930113121459650301893287022641429543829353302827272230659408022555905338569081374704037554401868048532060495849258699004459267663999607561274153116311551315810167862835758307274964270087156276286569157431119288473702254147993621031916686048475710297737895502789602083762415862123619529251831350747593410621636492802128749506554068863959946213228494758896860111500723885710085738004652036321589937797358999737467141241465786837937857412186746466724079881442273224547299936182218652027377682730848758778458872570119889144597689266075128050827122979431845505828125158958147406792295245773042830531097643650873350345145366519628866286282727969733459252004714724298226535772306127363877517696033190111271633040351107224883336819006358114998331871576089706612867785197431545837152863914803604038251588728016098079649827281390934579565784840864565024148393259153875827764492518365218495233688164312607319300377637377072839480041032639925808076230003716939757395687866682411949682038269682988806874100401360300024953338852328598749702223109552195122649528030367771993316838622965844407928242574620722134832423805775920954002854848036406162919803226608398578537606205438568259455534762433394234071921981293132828508476012312409837446280145997094009790973401902369534258387942151804029027448481474742128813735774386767109051434947191530291622462412279334583547122614804146443616825190206825845995795319424723347234386475636793183026677365997066880051291920821035249005678826535919417359674544459834542538449480988951902664442870157544231530478095409522167408169949511668952836223030217767
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,912-digit prime (218 intermediate primes).

Certified number2,912-digit prime
Certificatedownload
Certificate chainshow step 71 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064917481 --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":1100000009064917481},"decimal":true,"detail":2}}'