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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 #1100000008678602338 1,920 digits created 2026-03-11

Value

418123441508379883557238878429539561232070514532814525818497316978787205121809297247481770352015475736430011577841691292596046498015792444114871913985478028086145209826495085696114442324345932584235856701644887488803389384889939005753411037445221991709025765824994846409217482235699035312697074792596847538735854658082898827616575388331491133734218484056698315416941686038740789917637330586988668072484739667902826395432450836792149673958382669343407324451055756355611301189806281940801398020393807464155464851297614628940059941198523468824295256143241581839889063898673152765506235185999294193134285629001058338552444246357887523424683921850832628315530845048043122445400943334259631596547783142988387488341321078862787594420114372188668245619795677039790968748465093937219201588552251622058191014169718787574125482796548185716054705283897400665118469105217522432374638951707993024006640957907285008717004914063332358990922410355865650359660118049411616559961337396086670567430413881095891189301820209277363327889146291295639444584413977716669937537309250086161621345599799310735235287028443267145643406914056791027754608942183924206780136370207048658107746806919581065856162244687720703247259216126201805983625959061093389213986399259056533055284965411045814621442810869411789351958395461090521028554893337501462409087128894164557793652106387108656860718426582266569386787091935044785194330987756999263259290815368416689240114622045799107933330115160974187003479514842256854842315216617172784245534391775238809213765632013093676213180521177125394992361572440078359716401724424387438296538326106229332516356498245880822275990632537557366811206604103468758514005764545521071970906560057694989635699728375826864301807165528181757305125276039129751917410042767132316643427952664899160142455332470805234882395442824481280985970324600535083217782608816737365715526851038095374073302482700367360139790495437374323563136712321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,268-digit prime (152 intermediate primes).

Certified number2,268-digit prime
Certificatedownload
Certificate chainshow step 28 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678602338 --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":1100000008678602338},"decimal":true,"detail":2}}'