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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 #1100000004823357092 4,306 digits created 2023-10-24

Value

3852926992498412354602446172572235701314383894758222199103169169122549199203485661807001509521503807593114404906391369447661764330974048913419154231957807584069533540968382513450483442574473061818584665077267827311564569470808521007780558107320783405829172746411631954847090222494805831581417070599960730677774787318125218318517016094805111612521383212815469200767389333087833854750097053601496691887808406568695742329251983068589985546102684690111469366234367835158438469059344187152345793700052532560275824253130475995026149003928405327900632330083735437757272022093464721420548238975130481661907550475851509546407239970303761094245164409627360996805948123341425110677105976612938789073059620065339770214455779000911613611131378136567316326785152647724597747712711599871219624704176755205219016175120818928679977284718708860198758201229794542156518940538475109726482574368332678145323702281196756833062867268836510344308908575426685021276733028798994812693041422167840656276520789863760287897270599634256205261579349997738802652868924324094410724957012502376293569164047560107130182110881769605429347761431609939940424939573132436089148324063049808219386511884550647780543484582420783931237125788667027702166209433120067562018744123827638823681565253092540903131073970117462111276871299864322080778239629904142261554225795919837301608931255246365673762555761274686775352090377716111734967076460755587799610077337732842576465069405036945548618875099766260474911233995805685526193067893271242755710159353748405786490292384972881336209408345918162419930307100154436060559422600229340613387578246562219037544535418636784274535554553142612620805608214710817497835241192934404131281768417244052862009839819699193088993333750656136592216991508369775541946470026535242374601908022383720556959438726835600092391693545002798989046438285146684755336150418374341771494507635148357276570376130561212057835562511271164681837376485972099069264584013592743723193933725116515072009419479959962767086341808815927143256965580610448953058377710425545263745576997694064936307198177579522096182390354647161357778449616713951627359216219760171528187079677297409442876615014230001250916383536212434422254564440664448880876818516715604068271594779278964019459612838125535081797567411931392294471099191410504814155768152414852122731847061403251040568334122015529335447289588046818840211477611855190400708734952752753192680408710701549301919335632286001370196708148725604339609520979541336877744625757849863050256184488494598886810859806703549731759218240224859813639139176020929311804046399415569005624535406723493871308855561808773280423574134706277593237400523104082322112944575001657103719813960423485800559445014386766787160398163357702707894520107931158521807329380429764370938066748329986906871102427903311653571999319271217643613587798196840216788402942906439916012823705871883810741822235680430303346969063005021535993836909600347254182029351799822400225472451844699092985290226611129795419442641159066411603767032286451855595671349063588053703809439192478335093471164501209057766517561390630131632044587413809307519427691316680648520629004305878944384773939901763918472159649224427610517405455638624495163530421986670711023079768233458835231962579520281291673240712174845269886372107903484786908771605261919222411632490556256745327094729867020917351763242527505239571144601050662659430340375113063267423703407935888347473746325741165198330488410551352059100093912770193315902160117843164076958364610569616953345706574076922077773493850254328604540449001364384078185274860148484581727082807210912442965837257883562584891669955582811447780152186202141138055165446244700914222944404872808576959518269107287324357146968874775435289554323938677184657656962394661171794731752161085019682073028314290846594470189860884592316762920650621842450591560181203467200454235640455393657749041142517798761654272686230603088827525174448053887059771180837608326418172912491372592280408957990691756168556144276398522131694639861538019433052980446694198548988639884176822634753697766332958599797468527320040850643189511690731433165268922713150957756342387032634199335659119476906668521488235608749579876317238933458089747801161232906671939782189853656906741144450522944949829997130762684703685742533294570477607242172896811015146078548809143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 31 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823357092 --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":1100000004823357092},"decimal":true,"detail":2}}'