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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 #1100000004814011664 5,291 digits created 2023-10-24

Value

11718182683308126502105272777427543474069878194619593966036020905892635602239889704492816667546565871111820406622631188905414662502461528482248704914950209409104962356922896251486256474087391317606625987207639038941758770868476324592089455490039190308121468541605446835629355387524281768387981860336452684250859766744032719968389071638546918304260928316272575503139557658968112480487970171080289729928356745650832028096590062219203062132520936437098795395293998597461818067463949284162298261316694228213549548093126481656604920932751172446002166094845794925226020688035187982169577710361952777173885448079192005690441905797862272779230229045625809467095225430274847399728644814653207413892053259886059050674198164460235462589359206370543827173760558768749446136470585588385926549499358343044030588419039423338424504990635101237160415829463376147774907722016339253262781555457628087376473073351870599126529210672560027984708354278854758463886880321966171670821823273562419698529771082598732037749444834739237674064371604016946532027278364531577231745618906369344787697919485616404525006657296120010737757568306034792459196962790935391349209950475414008228971734139384459380752371316119014506019806365258978491291516062709965299133600233247761111765462435465423765629408252977407547599262752973844701491096561624047919830323004484607075576628732334678332435179396229646788597892250697104898364106032760376996077908263067392901974991437496345188493026642332096141389603607594123053471094596836599720869442079447660557901295539813653863867025601292038322863206065387687635161073058318012484688228236546423766912069555512185498017749347547570404944936822701735434539834172328870702876122921856304592213466940849973192418887430257128517508749477223628665189141330584850957130753816823956647498517687306431971950345585032624017832422599981004491428293315019651146480314471873820387469256179568199219123571303979844531747025051875044884205204573045904806999355363538619713048604177899022722682590302995177069227478781451947989255936089178874707049852944393575580859289493448012338997452605316004090343467474782317269202626211032497838203069270195058261014995945460827003887224583974807556850609482542189109579580443347845254263923352820275780762358329614976875951558293006842081374747424777718953902815490935093710498965135738382758772997690683120374991266123993561874071805497766466896746536891612586568832918180884121807675850085431425484156356353642058757904564463066051037106449490360418798702342665037984721728933422327415725338879426183143117610028794804907731850123424509776676631439652347527667519874841405917998569812360503638899017832327410448316020282168220622415410434350909320491355584542290979382953274436826276867727509872844773384420095650913067899356838181474278483779668906998110426352291245524173151242867654039373121513148051118172541902605332157968232400626422411979142307133432173782669300922066431860116403236668135254844053446717712492218262183597888527558599894547992797616585696274136173537478104836261853547034379697688199530870376790183325430538948528835023568852766165706790391716393708093108817754164775639421199751447988259050079576720804801614180943510430340718721821964463380631045433981335865315035792882487089284165041276173189944284003186263490778595861519595377579082582077588913188227729591464791067491214809159847773795041620320872030142195628840474370866996336630265057907611520086670984748592440849375243499349837850545588068927516546156149789881500786368008169252377781216404286445397168545440124551214489242721150400591309592009601903452337119865067382631176781328462265549214756604185936275363127152526125674351851177984799245403236284625980035736051555374820412354069950446083557891355349580820362214796440237327331904571985050681380167235955134273892604606399716576979171977430338254349443871609619576259657538571569714315107382354374473933632542762541687836886837230503766684706826479969291391963570589159518476626139694813966733615514318523517478968903518682330125394298047118180204760437908533989258138314454252882034974670274406649136926548683916182167373158691897879050279942241431867792920788099916581313230802316463251495652970135485475763716885218712973360274638739619660562363721270617944494939448301167705851784047610369679261771404377299225904447491382651951914414593482630377498505458571847217309952866615548760478703740988850521014213848053168072358830314475671852952435165410483093968439479311828946230336090178785765505557595525093084392965982936944753260460148436523683446111313291150614247737391937341096781810569308334574342763139374001232061625125887499030333651038923445749240274219812770513576684867372012582271968112463453700600864467017894651412102789518600940173452551019153002413395740915933009412420447455761989677666151926768609396348666718285102392150590728029043862264006740862506505891468332753348496529210874994127320970454264845832553853345499460407204401711997268401955840237468254446415587097626361849774055325553538203996371355469946318083799827414900801090342029955229398775292780033744735132274483464413200946750228717322344816259050691759630652677586921480925762619422313533256809640874388238405669758385604296959751990462004282139851833503293889141452845735966194357222613578885028967245258898550443574151483680247
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 57 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814011664 --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":1100000004814011664},"decimal":true,"detail":2}}'