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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 #1100000004863654003 2,265 digits created 2023-10-24

Value

735512845945354162192323794322902078757837862775090027529371405685446593323863981330575766298218453833724587263443114335396017864002498098971342193084952065866941497808639350471894008779531435012686083815783247276541670481288926680754987656819571034235800767600529890151714769095747322885019573893500094880915161054150663334457316664889074761505163794237553417642292628642437904509726272833574251021876606287771566743988017478284068177245813976985865222285973234926812391536423798481280940395250840857211175936197363704699650227268828176902985303194337209033962260896780291643148940593548615448300396915960839981804822983610894248859542507647537487367340386812565314142147698726575538627932851038742969438136997084289657545520747867018872815093662668614333492198022504836403382193596497434855511785110976406381100559245683731184806738339816235772922052194962564464489217885423388491962533015552526164299162233784833274127603636969491781628295983612315380188257498203939704451122089415832309298865855512034993440942536215373452878978630904458855703862417345899316971728000673327304759745541675644697389056490186159690144817895767443255401462635375641691967809660252107669521423467158147594126787014310590811336220013383158182260373735412798681418618474189825989345168357956346605554874680029356539111505130606733696505058076187110785214611014796066382201970502657726214449299293242726345165953082480000859763908552181575418822210456240657680374997896290293183980137917631973968572913578210868978710819564395833665572096279764157442576643537294173419187130725958456350312201703170455413002738911624751992257409976688970628560183836924860641750858004237970140843401612510399910415409231999417708395228600758697575695376425633853917586460914420065088484791288206364368971719263109097855378776012643139452438261813352890045062540680726414389797014734514883663122108880176227068766848355745988501944829785822459241155128866320160222603304462921926309678199504697608063438657364435231994088665086756843401913440676933545941304239173198293847011759914970055811607799803058816817784210650951299442423207406209039551997382146192644995086386280924696939001189550234906960765238866929217479012434182982569919583564872330240800076808576709239786132705801232118694743879766482391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,842-digit prime (374 intermediate primes).

Certified number2,842-digit prime
Certificatedownload
Certificate chainshow step 69 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004863654003 --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":1100000004863654003},"decimal":true,"detail":2}}'