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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 #1100000004878380448 2,007 digits created 2023-10-25

Value

338000570417103789859707126312350036080080472303894296965450911329190455633837976217727757081990268976821623368517109491653657502304736190721287234835064155032257066980313529431033628226182344588596139539062345894628948652810398893183823263427598320630262155872043531088397354876123983607275711976316674589702999600066624881035113818421796351214474975600058640462203015046250564237579343603730510064727064739109171964392149965031707405451276205722892157565333471131974947966816973627778326523016039341906534667870578682515200018116053425794905769406316864967104733092711743993796111126404767319417305159390799785171823716377340743952054926967761936123386112175588191276620441130693295131236804179870534785203586577692781278035087491290156337410496597715521800657762792885480123826161763714697962845921014556838907402702533112913890466665008154753617064060330467080665020754033165904070566929886955697249896560900556962753728795261111027323684924573503340719731554421984760821671058651984298378905386204665457668224343081939819443133360842814773708216734508150736461382032821826355259824637703326867068512327518739388902054792912264713616251133753677867611332632306019732743109365049739600678710746450803248643057304689713703087284393268171706270220411152805199198986093856576299674673147524429611426637339374544147623614128445469552431151673409276413888591051008913250203018399218404166223842455188669782748854841661677436559989081017705545148595445620677898735470318836162443362819928234061762489924473921901867349781073013792561771173828423717603197356998449878585356916874502359379904792154902789945259474951106851309565909085756235873542117814854661776696340585103453819040181376394541716366579606512406531245680584182499788453249603142600327002835218670188110544138183224093477078664169089086522764804996171584116962893044034136763762084668483121386637102254398784510731247005438914563545456357900609059869434890130457755253064802538413007907986524830204834021473503088325793578587779759411047463743663
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,437-digit prime (258 intermediate primes).

Certified number2,437-digit prime
Certificatedownload
Certificate chainshow step 44 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878380448 --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":1100000004878380448},"decimal":true,"detail":2}}'