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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 #1100000004923735333 1,894 digits created 2023-10-25

Value

2967772413315260362043717364368713673012895037957562474512667158010455593219870370429153411278729681743537932320755337173825448931998842753761386639486793941481679927983654956398976488750461065744905398399891880160800592426516669575478376998887876550060121327831778762237178687256184830213888652554595947080535800101142854690758570059224386059492694777697671388318804314249529759694759101817301588758597900528396717279757003005709702886822042292707411533704521079473463115370410060177666941494227582725264886673661485499647654138229400695278385693363065551858971023976229199426557666269309589994681439945283006585805326791421111838113950513360825816605303097013859165211155847811084806532984811299479096123670534355872062728301300295231337030851239498314966340662754994432332008765826556795337386548987583468534405694168223620514790292485025427857042089118675804572464804933758630942131603992050792812726982678562756963590464809639559841525424615943382144488053136773236471450946056097526034882268128482732888208772636697301570095704298356689574102804272584172528078717176281980387241608370390321817977120205112428874514328006732339303198498488535006283265641602795973261846797820601314618190879379138870106299254281984523721814964165934887730810196245808915009430642225799533150877507965040492296941509838225148933609638760987037704798582772623328016163422054769914964897083032751279160314677344052920050680355269086726905472392142319303290988476287179547017037820759557922946804346810954282697096715283221922926638920253376937923014842041800910689767784851442789188642086777298410847524876785084484850646810529914960329210391233825581876138988411050198823244228852587743986156912184145721527688336873080530615777802728402630616252102109897270741003876522755005757050194303103151732736851869275332403093749739880393064509069499422032025395835306051945675786613369452548295938792300097065761371
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 1,909-digit prime (210 intermediate primes).

Certified number1,909-digit prime
Certificatedownload
Certificate chainshow step 3 of 210

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004923735333 --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":1100000004923735333},"decimal":true,"detail":2}}'