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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 #1100000004842050011 1,970 digits created 2023-10-24

Value

27438885619879105551404037253924350070019071727339237733555171073954465829947283578247649618559007163830061361018634871031031577360809145104249434438499112383731288579489889825793124456889486946385464254592713391028121151810117474733920884277649029234270091877321849462601845418830255726785097936461769371205329633818930038564116051251046371954769751022155717371866708673281038657130436128029167227707344204747638633028394356305675969420295402962066024511925688657868255947208762708310183748207638250821140562637276004790020556555051979260059500698680858844551732278168464768136185041553201525261116190458665455675027099354311624597792048724638330104814858454565411133243459647641840279010167064986132059690877890058741343984956586601526920409623949879553327356953780561742956282269740327943568077576371817967894689965689127389278799922644190676429870033305065344069428623012821956469383818552190541251057197676313703180129346960324774021380787013739117232204393204618626987763181926063741070797453706690395890663791128154169454222714659097178664643909793260578018353630625976423344108944152414226799096972795486533047998181372401789348614266604979137640181033921120781781575419609379692606683877389572951487457782593205717395770143318600540361054130670178664186091971228174371685654470553467802071931121099335545728681442752249406150280298239717130925985285601802859095289586803993352640119376813783543764004849152252051043511622332460950663981435565852370289217626470728487379252966181960366654901698193293622308708090847600877917071796003597738442629380761692284636355362335138636218173324857560506121436809862419542691263379030165523258841168499094141652381605050415397431512576808999131295983997553940956814269767783353943075297816628326066312489832234854579044206346307910519066904169942416572009496251108434898401242698918386333673102416955862494972596223571669459433094775397057136297922093357051159074556147943621983807792966342494568847018883355195597363311361
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 158 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 158 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842050011 --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":1100000004842050011},"decimal":true,"detail":2}}'