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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 #1100000004864581460 2,455 digits created 2023-10-24

Value

4968100049429297967025175587042263093680457196848073697433990603595487008849505365304665596608248671629541043228811635944765892782625942193347426973157619878385940550419718661501463963601972082534316256594267457048683185884565148059910081057169167041749023497924957748260577262104901728966129142081693146092866187465027667177006381711155771214141324067169841788906190176894411955877012533293490648273316329459622165676087329094659775497173863771760828763736726919418544353592475727297045866010065017371541420108226498607740206316652501480244050692386899470238766099490603384801556401258815640112998958872103313128644778638910825583126210488400157522601046520715812306251112568165277327643335419017034805161460923931863867474904542869890676332723931572715119066116555671075122040065337915964128561116380989294868549576850362056100141958104937933650293665590996178080320401611927057114208544383443019154788654401183631791642025021594438733912138097018203294690256369028133018969994412996863099574220532828135295847293242895568442126233040663797821892887967838002073017552478423548004422703850165214166919726406778233062639893404510086634750540373620285433757347714479358885540842501282519465079664864649943248634542363664065604800963932340129406842726775064155417435717389055669958648441665945885464129666180138895507790667479722990464500345541697451420992868070493348550198753455858733127658707024665730553871152369349537599126112054608494823632025175907513726136151203131917414078593023785586458048986395507866014164228600523549817194939554026313954303783666961541719420361100269356147723631185257389670783990816863922182253070082917657257613288976362045289430090462374664475729231955295534891057896638418950903234208095871748276162830220245874329674470566473272179741625860227453310824698608699019928079067467621318484313300314762268481116474779142094156183494345202269433907205192856545857869318265578299830765360476683913235320430614077239910341861071284153528999636639845958950091940159044474372971223410704016255461880272666457355518805274092966947302359382821924397488828794621841306798988129220532092745083151942459852217730499014517637233018116372347030167355666490258623135418691603152625270068678602796098154213376665070066302958708463847140312709092838183487413039426105206232921209200069315638672306308443432394576907085639479363471947023041623727738333141948824418078943495920782590297078307536450405339793016862189624881416928358648985835209
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 40 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864581460 --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":1100000004864581460},"decimal":true,"detail":2}}'