factordbrpc · fdb
Sign in

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 #1100000004815175719 4,541 digits created 2023-10-24

Value

27398733796380782820703478276286740990892885093925279870916780144842929288663528681798411734003172063252179916724731357814743341697930497827455464495855921046104685347664442722311036183233860217716119701649194381157247403526729726036382504103694965398289529374818010606195750731291821481001816028032884698454694112897418972542029630062797040798070913583941593978074045323784564290476801865370374399618026737100191592321355889541980759964945750158832149528126869306736523003577232252162722269774372234814222301082432610836192146786551726081046307196707778864587849010402035604229459893450730017417063386045168321737111784074517491179147356269934173090341644953265785965193105775788885704635188736056908738563391241185763614438031476766754949549921152414121434065574209449399741925742669046255870012638619858492367527136828215539053537895784209725920563197321368493114574711864273042758608002685500840181211514292764511167029224512933082439175737243284814951133829847246177651227373294807907081979191122438427943830387402932501486998223463801130438224279249724855996539745650898207679777125488969435623547174549599816871673634919781125377564768612986280185331918609166113129662584820265996835213594725673846160113954977772663590736647696120621056437256268937807920336720898145977099620805068037546935227161706395790951006613818328027466829960192423738990722478886609747758543737975006863564779781444865052948867464785172464321600127041302681876026559547179391753835346942326834769026454344305099860965668538657483440159908894843122369316065057678700721762792871171621328308013987441419127618297263648050351991075536175035753625687783157773310144327352324123569082922804034508965317435558686657251759794401229552574310475633874142318218426204839938762648520005331351896047434649404746383851889332534556119059700311684572888554688750768518250918648961267844723137335880922329381095545253581085759671323857333202422441862290455407451210866896665177629154654288106369958288841530455706428071468865739721288176340928434848317146795652626975759954264498298275708386730263482600547180971858190678635797186093357707553263425638345411405268755421742210876246799653658078044129349376474561903358812185325254921584696263300579764328737880162365023813224498645437994193610151489158184516330944878169306714944153943454645064037323843483952600179200976869736439011973917828295800685731408998886489940722656760307090713615907055488636944287377632780018572211852033518571529761994463538293037862840697653964880497567009500056314377161894759055264039156685203892650643614650484793135038159688666162081446154141763847712348514372286234688153724257804530328187008628566590767156368030222209044402586110219012651714177637375038720281136283056338837300665195079717532315445065110534625618201796021498105436365168746846939036162753610922973330256511329134161043749682907522935003861576626811690068721383234406090115276562454651866699526828844270705056866077554525346813081659824595171770949491181089651681560400582455827950272817848450300382654576156396162393331724074489438804870162756344350469546983196197822777212506545120911665037518579913631445208354092472077789305618379440099575502566051882318688733492449929654887947353536323621024467978215730554519627940280933793780707539069686343749273295765106870555408161343753684730038833800997479610076728763342033725149467399087898598858521623456498423007067614218940932994716809276736677651006697900587140647892874250379299680283547380851304526365392515542044835297315348831603079060280707448160358572053388915514757783722370196503559420990240066794958582078974143184713984238982265385551140988941584195712777584769152729296618341526540529737951797207821778387121836403789924043964225806063297834521846757729526497825598412534731702060141239625440326782661771538837747966108769297751182622537342801093415104629374385479651021969009782832898844785838480860870828202764266794694135374696443443518419821513523740185692938731695540252859121138144216102609721271506343692196302774718892837854862421249586910163920579458699729287383162632524366481444213929960596667631538025434168370968169416707051040376347272605173983632309609077060728088246171511475051144433737262100075684979671952989430855913946287067821802706347055998671662803896627844839443888840798414646719716232247981296140691484265204945790769863424279517298137334754396422595713370155930823231779695317031128194887164040869808461910133536997764386995950853406422431142280460009784067921389590892142018110917527108489107294328034797200423086534754662230274003
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 91 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815175719 --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":1100000004815175719},"decimal":true,"detail":2}}'