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 #1100000001768650864 1,859 digits created 2020-11-17

Value

53625536784560880753889518790118627952983334999846458825302618371383637723591769230628990135063928182259942006024142674578363487665602669009710817767125891815769157709501372266540854622498277290633423769439961600751677613728676160404675274321188647890327671906219384963834312632328935996432634075995556481740160986636044436286461445686859317669738206184523946380305155333561049360626872674029292326890322042415141404649748860284507772298111609659963754209139238293457905828678134989903600318951000399366630449361750195017401361242776017447277961231541199685765834371572149516916004304438120879454300205173628475244057746372593633081366533754395387905550093632461568897853882755578998952388929573919373732993373188021440609826203843802827032735993545535416325883836024591437181010811462988949551080472154546616846684329534945280895925992431084295214632441344661206760344374460639117611635496885995658150065544907161470911488823274543208067082732219454567831988966877273706289700257659232522306940944848486745518593968622240547208375673328439577785356136621914780688243716366717293094032652737697561586257562163583833587066311447916574894949540465443010647545224822290670963665862122799410721159520913795350782264547889020948446693902636711516103597331835240935231671999917869121366070034391561550718979441216645073208225818519751745051113869975173860463842515573640502240796088695743638913018930776686160407447579454986119806334536561153664558435716766234098693553798055120361779383926916540239238430279463909757242075412027870199795232476549942882835208104875372994790619397060117768019397157427758595871180509098815278339488781181192866914376350001629503576333044909875541912845051073370408347373372860457460561627623781095583686654004908325200088862469122138441365963110455827025115258605368088340954136735111620506530066470895580436297993211234057438547413
term (892^631+1)/893
Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 2.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000001768650864 --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":1100000001768650864},"decimal":true,"detail":2}}'