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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 #1100000006032721601 2,144 digits created 2024-03-03

Value

71588527538609339546658183120223243918901842955226684182995980616512884111151186322093257588815168755247105609976668617379429389703894728172979791771257538724469066269288297371328873365393458131939523560736045092304012827532488963528733318989404414573697461622104618513527011782329536877932065949379257963408537657176569213178178074086154151943712856226745602903114857781066287866154597192585719001081138917769356401900035963367201088810369543172809037777004937048088850175892475704396976002012295087823481006826553252249913578070138985472679478454882833694980618872756103963213427741026538316610572992043687128684527637421692534199626703751419859130383951191114936329425297914181661675189698871121949805116955822502928789980620105490037604742135134279964915645962511259995829969315079302319998817401704787411643215746118237209449348417831340184641860658959078274360749889624187616020404428685358606949805518176733644701220251802024271254083591756479979573624252391544715861250364923760776138950622637893876470959680383091712061797777770833631134376194450501756627216122777046187074372363828138280631924022533644271681210360403085417451737683470529733492730352738839920533000876526737232844634522319467538565638005059984701544985814094761049692093819506404289654222351485484555667442915182756363468485090638893025046027838654573149253908986437407979613842427084964070730505481157034486426544025907402170370525689435626311357851557588375382886682808364504106567355467133721709610309175453479947319965446330252820749847775245526498983342853753614643864141691391434887715241203272320670514491572285766001098054287032939831994908771640835332704348894454627149284895789097242854467168917003104087397342527535171802066527715886642610124135342194689710805191034075544953358671861170493550226388763305258768931006381846457836498725701664437906034665917258244346242512386866371115250626668269511745651896501692136560495152147732133242595483139529692363160496933273093372470653840588133236690091782698065977079295366070712362709095993713282652652086422329033091424299273538822843694174817593386284277820973178641113353903006429053699370518123032099629503
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 3,048-digit prime (224 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 69 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006032721601 --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":1100000006032721601},"decimal":true,"detail":2}}'