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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 #1100000004877736857 1,878 digits created 2023-10-25

Value

127172313701616961779756844921193724990122677541519483049975769488208093276982593630005713625564894864010256183841826742628338971001273201495886617719851291625300640790248094576197975423685110927803156399984503731682834955324675408203316777547736480251876601940557976041665183914949779479819946552107814743830485549986261279033021883774059853343405718023680956646222420783611721378497807214194686486160423392244062637442271175810577601484991228061559213440988956626652006784995461929186970853788568748076321027384417347867379375915843837728144532437448197552890469416642376665894305851208960958824442007506391078457410805456156946147634467392435245522955985940348021031934730254820681011197588440574120740576346926437903896457200333840056168574040218340259220502093672708478341041811901567948488891134879255048332340007474625153846835061973934724390588141247402387986369994044474996257045917839178565289008681014833393904944357900999025584129218644558516416653631028359327187748516317285030467546235166568041855436622440781895462136707694189436671191102916528676305751420700251830201710571953005494673938193464868399156531155842294377521826756630865003516716625880201915120381726998203054385635111599539545501353271938708959343814407261136842285267733141853578921877296984977699571750905469706661838702118315110964142105262664672779748979786165324338168750537818989882903000057231533062759450500516348975701975832119938544098723020276567320294562104553456142969407619329424605947417217422959267320534892498118482635819301493287426352873741848129224197032580191914135273747285166264671388133793750957313307250243673254450369922619985304602909163012030893666689916724717922383120372405762647503168870160006786067882951246341014485784614617215490654980050214981588506114003194491972745885973489239594672189615828517886340327150062371487652358339243647203674962289612546802420086629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 2,441-digit prime (350 intermediate primes).

Certified number2,441-digit prime
Certificatedownload
Certificate chainshow step 81 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877736857 --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":1100000004877736857},"decimal":true,"detail":2}}'