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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 #1100000004819245813 4,328 digits created 2023-10-24

Value

78578206597687334628955512640765918693667808398724019416716289236052573634847350752843538592980780290934936953115177988506766125282521328827229994964798160344163951325142993280202310739967890725306522644766896680601042666126925291010054005490210882480446283889102296579498540421126999992896271928425053375432754441100893185248834957322827146890562358662609267271411125227873588582352730558891480400255958012255242955421220938192663767215642940876454799770915150892829001462985201252924576902395727311592968059788800137512984116956859732705086559987741462013974500031966508433397262339501654039187307953620614909012301195566579550774778111760081465482032038072280408938219315133521940843002179217258611930907487246590984394732042079831380775345543127095922763457841240457697459185284604885061909533449938673576889231226852454892504029836064602361739079557773395508441997911510753869851730883668668589335078858241313680649274592966548682953808431297236924279929909230362182126555020990764508829478083294162597898212940121152160827735042017537317630903185273369511345507655482716681653738823553899122619156542575717581135312272207826276190831288467647190294347816455229643917304917930877015976641759490686665042336299177780029317715910363214927059882459717066866629121038690267489486210013984432495065876028451458046819785960807961216914445903856085555142093738673362920831963961050798648846789854132833285095761891595257415784949980675314516227431390806330674040790259550311432859055711323047122234021435666477837877920821722247013652297584188943285579164152908957093798846807611716666282556965983228390833131420264830428465032128947808856523451198918624887135115382750629692415835954777475393305088754422708305838306496383540550225631093646092603875354878429416103413403561124584172969643849492076128864152938763125387659158343531022174726245308640529295825402653153385762846358505634887728909556780050791689723342018689588364702688791975714213276205291372341037631973195234224949731321240847625808907575144720296492263997359016468877054813639519706621449703613387767948895383492416624999626217823636014095953193144973687825543456649646822031348535105727934365516507005545913141441605836141642527627230887495859908102457525024332526159314260443885482412811752511071823026141720797466959847262738846257676697361252924331699027691543071095457036930330560605435787186242632840976118367010274302482402300850556649060425725411926833993897116512006267271312663194530324243287758998336459252012446339191618447836747951530068615527513599716188575675065808311489147063410517520831630691079451133131529966861941248479664994821359813277150425452758069936330595806370495226696750837382334164794537862360222515758937130237723728437874082858597016928824562326674805215386328240661402611895217510123478922315187391653486092110905262736522242228335860312242276685834701654873266266892553227893982691514803234422979666082251201089925435642998261028142150127091442021957541567596106315966586268936739604032806333879503494135909690067916047496057309746762234525627277749378949488112297614454927538514415774054999426056329252353691937668722447333779447055747175646781877645287896422218986355934140013683713494278706156371576596645891224056630967621246661286896486766674263785962124712255369113638974727151098792062462508348851145476846938439398484324661200072794361507930135506229111236505418781855183782707847658928039612142498934330842779179406204211485859290849748224605410964501063419334880990260442137978473597722201978157942732231258847826953606662997663987705735442899536832900590240573483925241773688239367716806913824496949413625668578972823000753173985082893682579399735555187209737283300780915414616137823621252561067185166340475196499868738096256422260798123693917108461802444371775440083114150181135881928400330821053766177833820218257457479604584658783099809873209346046109613701153475070579887115688448060696334825860782834027332176012377029523147157802698883708545796919480707253042086207673099589955605741543560916988458485223357142018938918106258465215172067289868004445894343170751338349274869258894215372044334837672277415127201394707530392167580918729104154626741219048388620964929324693258911149781769903517861334563345691477883891141846957172424014275445258689750315708305982166696994589785821958614786061705433349618091325083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 5,005-digit prime (534 intermediate primes).

Certified number5,005-digit prime
Certificatedownload
Certificate chainshow step 62 of 534

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004819245813 --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":1100000004819245813},"decimal":true,"detail":2}}'