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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 #1100000004829756558 3,131 digits created 2023-10-24

Value

11783128727332878139955713688915631038005715077944005852332092485954531012330608435737496320956385426177002575445074931951042143963254416918030125475371256393489559876176511611204472638649469855057235431184894614847232581495273181146945864181286522434080546655365619070581726901679111189847846532260135300556760700862614696673849194236312390221125085993219956977244250458151254183576455280440011372512143610708089708140002398384383357768696977983744779971930030176786584349725177133034584657813046048065380834371155137910109837392094633815501813421755657665544079539772919473425776186893414234607484116091213387629499211466081400849663586060365487150997938349716119913516177423860516795330619498211527917963423765777519870112747959325463727574114941115648016038319405622629666020238136849308541865330113589552802384972123274254633805677846842445114783912051968019506646347193512295166804046129638642026676921818060312614125892347706153839680860308228710031249067839433634653718284989576895972832278034966970931651673516592216531021089695586890832449532071358286238254689906078090616384208123031379138516295920341714708836371695659752235829845561747104133382461341305961706971214655330809167167161952585595560536406674058256209578984206358188733710326073892532385682764571456834701080000302324481730167543760407026771111858088262078455083360163085183524023507137280854311705113604579880349452812950926620429445789382712151541275438732453000320564556641356372571976112431034855225434522220624532650199842659446970489124096247309467075138623721613390478338308324023221403093185212152983804033785279021296267520695908280280009696903355555253795170319181277756321975180923690439066304260956735008079478851469267600259667911868866328311644484988175233235293072508688948274711542898704742471368729135729767524732243659042201870732928031662571216991933962399532348218873658010371861231206851766545580959208641808384536554017607579554404120203211019418369734010545214739023426382155269282115682794065738596312371363112505549486573853684311768921995844539166485951112027273008849659770949643537963571564375646377741816544015762018859247041577251842803166571126391293392684230827066401272444016611850803733436219068939567375913813150584002856392710913328713851116168970188602652876245975685082761923763481830134278937154569435056611196125131079646397253479529522304697479536846279558711776924475376268507421872122014185941804702559801516389505760283230552692057306862401268873027475706069768449265213806779839364874987840700339642309782701279508100198473904278186329643733940120441406168939089422477485668084254220043722447872117301654256344498120034611159783028886593449469428868852238408150406576868329343886495342732682142232951222821964368943060658719883025099728263417039860230302213056403102330136657947342269068515054883263940671543953095812853974769811338414651612324052236112113883087393032625777785488882221740099844330810364454190891341757538507127927772143488115055372757090014187229496257711349829818518902364207246876613576930341162528695146746540868599618824546345707874087481623170053064722181384862376904914490825662525663201
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 4,005-digit prime (448 intermediate primes).

Certified number4,005-digit prime
Certificatedownload
Certificate chainshow step 95 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829756558 --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":1100000004829756558},"decimal":true,"detail":2}}'