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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 #1100000008680163913 1,754 digits created 2026-03-12

Value

27681419093552900903469413660655567548398834623023684740528284526311452346695252752440762237251928614881643730759408949619277281579634272809046624906999624478545340594835221721959132916236364374680530160961054357989601031429164217381785654475688231087504615520069266634532602964541000039696459431416434969520843948287636846955248872211067125903887979903471682003931364623764864229902556345603516767967604877584494446742033815690306310607631641424931183007834866945019929629552206048329626278944984689343710633325140727183505779314490366836168681691309795392714238292090370096717098385830227588643586180617990315890080258074698882529657388757872841950837105422167769853054159094601971581573762789595856832225101192081997133800156807570865106002350570474425061484429892523265725881115498482844140466499773175464168736089283286537058335510735550026985746696064480339968707058218592370023341203246848275077933585244134304934829956775145822808937378343325225492181408263914465254828636215631575433562055750642616492133008737679665797189119399059138720563904833856992544248433889861156485161975723389870465982971851533803966676824575612351596919491020769053916113415643161049871146784222763236887545106468619387435182342238463126654435312263855013903852224832066198039894463411334271186767623653332350471551083319180984073665811405774747667662322889693803347691416291023289527358266468365755595641567964635634422636833386645648609893674052265453382159181275607119624198636672404227990394187023138088722659821724367686169132494008358008659390760118010760990501123908223770703438726282267383376415521193729063339848675952408846439538877075910548422103366375190561095727862174231596336331533456769403004048404476882840438031033003859773109950316385647753899763811
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 2,009-digit prime (200 intermediate primes).

Certified number2,009-digit prime
Certificatedownload
Certificate chainshow step 24 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680163913 --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":1100000008680163913},"decimal":true,"detail":2}}'