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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 #1100000009123228154 2,252 digits created 2026-08-30

Value

38580101472861488606116127887229584030712348762121726986451969207808870344028671966541161051012743856379950382404330990154037957967363382704405066925166206267733475332296173227484876396977031032744665830321258915306636671175303052883000811529695672781584402739596510402306026890740691203969020795115738026692899712823329728782834829374813854894372727228278779740630826278836428333040171753065563912875039775789381277174381371491633357030729505755132601229597387318888355706301846104304652369155966052545832998094765039834094363745048302847384528521537912228553866782597260307061950737160945645804559982383032262430393465427002740982751221245107141420624352708427184821250205321452107998096301379744109309388137284637433409525430289631857992264239906847444837504799625463515350062389412814600801128572887592428150923979390900617046743874097689168895485355926650766566602714811724608014700340244751813575248668781960428684057351885465262545993005573869081672658002976774676011239242348327803096741272944940657667328971597052404948510823925605163052760329868456377730464575153912499844949530930831130411777111120009586339533357907508106517015274170878317637545340931397754495302407997794163316218622118734186677656765422280046719520767530656031703583827982191101647227389388229452694823117668516770029140920082575854433028724015929657453207515247956075328724295437369157809621182676570712912529034146485686584222168909250875864257935049542078878620609879449657659371856517976774328023291604886523763259083647553847732186278041971598197221568082225060267002282913232216303845883517220885038122270897692955047602142450171700323779264295249554933918902531964477466772048870641728916470497777807278325936448523505659474115266993997812628574815420118944721386254548364766626172155804419050674322079449670143851991127410977964546439710007559446204792925675512371377265479833312061915977987311224555221853727089231372711786920950816980391484783829173151767250815686549634678767428782264562068050025889709987415496144825797704877463991225555214393631971794448186652918300629120192950437416022634016719408454815595502844349690695403854003927521475938666695131754771685101882996112131168445247397677065318462190762560367130798467132664264223903444060874292084387347
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 78 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228154 --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":1100000009123228154},"decimal":true,"detail":2}}'