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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 #1100000004827899313 4,080 digits created 2023-10-24

Value

882925826443939615467120036327196189177752601969338981709256125511403902046042198678644537203719979475667722221999004934224258762931985150594590041002557562418654456059853264793050390115706144760566591503744699267583744666498022218065855612472256795439584536321981292262744998708914351151772011521980238137581072095068938427087202601792864164961775960150573599308218230453393353428565830447091902782435283531997417477883332346302913984286514741036895390198711690210980554942508251730775211680406412857538329023478204031386511829440300413151611912408782070713823311071141410842755246910198472379003806971557659604024420192745335886244355171921732787976928859151999764739798960581695491527722857545155276851944394252107016188895028387881028121538208924290593494189344842736318509347628674163840933030172593798375768552909094816403726039493632948161238695002080597081478119029328932945897966212304907170310209575446581424488567666549565280773641837062085716902025420453138465486284483400124199381303063576218432240185285388628996545171923581003894549767552215233899931747827662886683271021087560975018410131363418577662350540855391143285443330817983298077973722950341204334494123352258610768643092988622912611573431444224892282643452499903696676507717582365076045720447682571363145386236331889727617750525600144345702456846617004413227625380114245197922284087629342787798530224626928139259317239087421264265787418867447463762951726321029132957839145275620815919760836856118485124168864066703548577631012275922297352838095366120257717775606423949213672074442417946883611735558417287301368143358077097441246580822277807321830011183629156140550911784297897940184571960894107189180093637494436071833823016280657437670578579470014098549612142495637908490532808912919747583473211070438490703799427569287516446768172082478647692933640987305871516434160052954633774482408523161663828613393582202469541740719502800213858010094640077446576361317627177758253157915710178269977334578424821504350400166081663852186078164229601961785290992781486151283568562554318755100917371961087685427266964935405286855603690964818229221721675616772008354855942541032901176152957792866145355929873244382328536051700440516968762195831781173070466713348090753288544390209052611104620375857758417319024356426128414116638630189149601837887319280178281478933228036410392915255504225038998168016974653203786821767844943432297771350467532594181876650781362139850055520410672361576171420483354874187121236867021494685058787187313512673652764856556955253291037835398691914737667321890993470135786974804862257033140499141288093180119399266950754956726789567001270696288874430697800867267145998798069055302182512240590239484868127313077402553509518779700609940717745734228123008641342738213522563201206814516822007129284870963925623312906565470519654585708734250754371057837849799568240378256262178044923607014115467793123100721876243898618500390975945602989275155472408192112400650614879464390816822671542009917168973866223799919621390692508376508480935233960750471723722728596967742952728442122078183490117498511976169002225605092960846681242021070037122606904562004217571534013230711766489092326646917106473899769483436448078265768852677480923506621080657210479200636172374392233188173417500533444465728382107577244593587662405861358982431254448399372655483172459214857564071271583804071831958392405654025561794407771882754366449795774784664000226727186115794850257943989092813491013624658527768051733688037882152438833793036178937229564477847814385298116103766124931434626094101631973268213436226615925635713214163438718648532429313152806331828167318225402512652382565748536602792315816678017003851351938913112183152351300068537251514203916864849505179118424944999161232042794453125632399710556090811044285284793239598359736468525517446239890352337384771346213218974767283044868302712642443282092556667587605638922868430281110787508966045878261416538653459767730143664744645461207517657546719227481478998056580967645587998854618792801675967377597024474561588458930240276216696075532615640734948088981130489512972766407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 4,140-digit prime (444 intermediate primes).

Certified number4,140-digit prime
Certificatedownload
Certificate chainshow step 6 of 444

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004827899313 --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":1100000004827899313},"decimal":true,"detail":2}}'