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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 #1100000006886719981 2,006 digits created 2024-04-06

Value

42097465737005591406950119326667844465651770710124782917853854706983581306459147339664752294473318756181505048679861260783665409346102128547323022154563003675957724734463214890393664865191591963079229083335886226411086180641767717841759932624431503015590738850602276233936676654486160636127484834386845014294640723476686301832381769418833527157364303440024283461823398520470727513727701750752123812814788169263186968430894998531700268189178267770113327454420862305170626544827699906268265382902295362327646551717041488720089475686855252902485301944534622205348511727634813073943428565485189635065945507325425026753815098029438860643932745247737439761913844442785469804588239415790564515046861727398147622576102926997568239338937810569203281792359430174910307744320588777534297095262219416015331556007729040970772582085456240619361329782360267902847852301446048343218243894218636414559896136510982543384285785009091697339390748442501729194895056242452990383779345383418500153888844465611967791451104906580552514728736597324870018715903411372917721940130953789845729684839757620918125874801960788191194523388170976820699223257388374166679613686716056364032130215815312689106215335449519479211577623176745303136746450160766887927021592174384864788915931549962899867875457311423553235797754909953609786355481205398194435806726540795948244476088421151555468706357021986865154811787862363318790907886802295271298303684953388954462812869539549135344157091038947900949843430259379548251623820002094912653668397803725986551884088017827699933873308940023778619292518907748331424145647410363649581343837832293845685748906094092136752344594476497650951105180720177610939248664229850367728670793887734070831992985774165308688025837494407630873206598559310500516163536572108906817085909216141775505319501214821218784837794024490372473637830649192334351294927611640528816056579119921747615110133274829764580155804840556902970256128672358936551292432608209574902768368738080923756758511104214770653211411966568916573722907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,160-digit prime (229 intermediate primes).

Certified number2,160-digit prime
Certificatedownload
Certificate chainshow step 16 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006886719981 --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":1100000006886719981},"decimal":true,"detail":2}}'