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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 #1100000004869752739 2,382 digits created 2023-10-25

Value

309923851337704232316005953785144552013006684082465244342663651553337981972765017948295861216896886407377513500348205180419378794702986866168574221668959241378519471248689737550074266266007556395928163017939308637741806321677089952326744217745983915705139044907096088053534682140631229688279684704357352720939108888023577779713191254807154395009002261052232600684624976888799594688468478798858032831951797938367393158913424896178651869106170775405854320492697975669311908179470417525007429322101919061030178538318416806526427386715477883949156454541526777239430991888857189567089990861452445111466336163992264224147345078413244782221551021305768721685761167216345031728566233623129839474034061035013853077107416665800122060380460669980642301343059709722443006719483891613242023210643269650823997421261320644423352027379944820850177641609812365616466644058070234419364914489225212470248124570078117829186458957204672422418488713009946467758275571771739279060758199043739584037873780613806770243665449309093454585558510517611991053571871656621658338279046889929268045478797729663171500881799217022466860032066042420166406221201037267947465146167370108487334588563639584164616932109376210946854811510815174083355976301903170556586804808338343671117053687293176191174200890471709422713948656762916614699700098448249222678304735762358957318003820318152380949941461170291731005326506610815074819803941027413141687079927346462140511681087723218838883214679651825222860464333391114299413564851973106720346739317217758429014380605399140381120694284453710103937548477387548432133287328113819235361404622016725688365201641145053626828714931289160729286180853817245715937770735579197663885853946528905349690901831918986636762908968398189124711885027208888911942234364546893579290997693686944603227918680373798963217673997082050133625570585447893593514036379248636343720704507145887009178856205837262623536554054561159877653831788378697979557302874207311792939763098847886631618339294946156246875323705390459180480110972662331265191624534348839669767553944728769239885584124311324061908108937740601121569056744107555683859100401113439386534058460527406737133129713330786786897289683068156258455103743487972390864023686794618730799413372300275518331703619094459921706570306514381349297617486802386901210299712324310398510554278352803495376597063500087111111131503157217717887792245096754452727827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,649-digit prime (373 intermediate primes).

Certified number2,649-digit prime
Certificatedownload
Certificate chainshow step 34 of 373

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004869752739 --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":1100000004869752739},"decimal":true,"detail":2}}'