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 #1100000008823081582 2,551 digits created 2026-05-23

Value

6993025811786125789989132463829616431216875749193042840393281036339722841392045908935994941372349155684048306425666786413237840276119892068713511324921116475549564867530476182984943971673298721089521619115214310469988980801118484706583780651669274600873662656680131061905116492667221462574603456473697363725907622773497349670481019508854193389830837211342232981165833482146057797546197867705779232906062232026501700869559855027166408917913229159578091276063306886260067746998384265767165713683517088601591344746661342467483928012761036367679554202034998545202389135560949200071801045452379581626413059788792713334467503422276807925631109497353363552818739574303950794459706849001393830471855583104663398717874649247785112105289032534592499568799854817938536765052412354514540019201306492296397421243516574581324898590601972425409359936155369397450454495569339995927056993085986506739000922852251299556327069159463736595265519190920612914451549571134167519819687862950068212925470287440389957548476847898156797263695046964136778556040239382111696796083716734335827429528734233525949109488445770537693140628497646904847920041516861514612289873920820123701183769353208671393609263620307433567308661310879232896118343625643064194918681866933140400910086030542699548839843991950846788522896111320225504108757250339204135579960977832365096858514867426152408668472425592228567166986181455729545088130614373351067595052123957737403595108889936002657441014453075654897645502681304001943900180058279702398929292992019596686090223488512070747503096480727852006416699568998145854703533466996663931808464055203669842071856973443045697239690065209829544620310616177535991425910440266131070064298173200135882603974139256462875238975443706129045927047078432356980589306926367698304238946872157208738657462315445039100635839643230108743978836743572089560965366306502204681937732718958158557423894319688850371607254864991857988393561902340875131774441394949917816843870923284436098380191180435552593268590725173137582278774075258940908035633466182991442917306751538061660965682227358019672481104790872455477994607421545679420050039266489824019154065879559207944510497401924061066594660947506144897561387665338240197931272624356570991785856054745235756647038199390912521277335175651955747124091847921315971037421377832373509932377958972373638177669597063901263713137857003223723100487144527885721891745670177701062853941122033741082754457048411455275744234125273657711042972505157387084851161942936753723217663659210134595951408294219294107149984216076013027306532467137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 41 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081582 --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":1100000008823081582},"decimal":true,"detail":2}}'