factordbrpc · fdb
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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 #1100000009080133300 1,555 digits created 2026-08-12

Value

4461318989124588007316258672539773027460198337475367553216320390793461536422985082092491291779922424024610921984317235469078605773498959200875159984277869558169203292296783317051215813608680663822304768771253962045631384897523029321520947646898576115402301193423819199439576468281639230327440976905156737183734244106456783654901471453273394551572322308611964353520155135516427307830276002850596710172532930977895744423224903699846241411759603132249633610410749606299338618086144725406045678611382036470027933513045222060590686288936523364999609038993459662315977720682453165472113365475942455943175362153755813636714365152068652389807657517964804911103884330725850882745800214120702580034524255902673477256155763013696134745499883244777830761607794296987365589661940559580764906898074395899660974804839660475512861516207602602261197145305560881829009900822874953570358653575713178765496592053929568562287209691145824041981717552055083484162151580166926917937788815571603400006316879939562268768407251925608278905850270868162352993781165447151044993501293811851877774650722701971132181712807214815346509947201496717468825070923378620102525648170918505652267962776759764958609494258228396928983884682874539002365663840989512310299705273348154102912532104575556166884788964684062869626119874259742721196946071899271620143746935649730072811493015871732995898337082575908795959749697381416101852498842849595688344183905615163393298527605710837435040809191589736964072934485324345359444149719367278997998970854999735030778339946749937931811942226941795328977913
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 1,863-digit prime (144 intermediate primes).

Certified number1,863-digit prime
Certificatedownload
Certificate chainshow step 26 of 144

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080133300 --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":1100000009080133300},"decimal":true,"detail":2}}'