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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 #1100000004917032593 1,696 digits created 2023-10-25

Value

1065097145340788154553328884277821864581064519632432541349776950270883385712176002467076541838906111079381788028330963570450816614170524053527028332680769730430524697404648582870473620864174290497822405238147910850047008819584224584344364993438850590623553843555323626025051113998645984292366065228928906280510604117557715046563438771567080329989238097466455945177471710304014420075965239226804129713730223861662952464783555801827882046641655368521079632956170252436044901000330201777201286174864602400354959459873662411379180135033868354058865336836791984743175977246392974299702369743954134720448554397463980221958560047239741276660933001604842550535177035794629179093198080098062817552242036644128976451445842416969861325779644420584540194704203172992036648342319430567679229523021167679069368442795703127525697022759996593469854688396803983675314783448185665218760992189075287032074946380132137097640032990749635991911393490056582985346047832608912845305785389415928389043470191644059438848291051512558009127433399137142823229222192263521090591855946424235962558531165740924016754523493520697987715497515407677405138922296032422346645429046906153169338777069666067272799561639356509590253513240396158794926319623868252120232135572649525738820328540477922392503142475463713154884052511399223509930743734035079646479623574015252307800652290712640155195381569213025164593620090815679961822853974031450077961200951732857150084450088091000265257925860793792167839512191765707057992965004917973318898448897453770331975936027888426412456395725307110792298432682246814661774570026654363637790826128871859180997158744491824012996208486257696883902958274249790132853972903999388108458741985021156528997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 1,990-digit prime (160 intermediate primes).

Certified number1,990-digit prime
Certificatedownload
Certificate chainshow step 26 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917032593 --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":1100000004917032593},"decimal":true,"detail":2}}'