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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 #1100000004823357773 4,077 digits created 2023-10-24

Value

865005199248235785326708753094937396713874957000406637327939816938457749926773269463560313648930846161391837435854302601028319182917041251330652228444206584391623314813797837070069318498415469566805731734478680500633860703574236457875682456345224249019272820054492557095283991733462837474032907656637397521018062129885926141587215693325710163197894686060238688806190129570879914354806814666766832690012829837634620114090640372347753580426668109555891440897096607807474188796676117313510537398390229762416292453334364646907029248216319177960727466448843023568138274896399052788437826506982588016826047731806840045211894960165698474011599329510547645127329698199461488907997366691859763912583515485826488821739935637211028490654059572860778726173724918353409144175113123603918619517886459563726237376177710902540028953598375002762995417062620104455512184520807058256655040245981858596187482603099172107281921365145958880334954217778012535801110209903444101977313552177072381922217442074934806428447982430413763969370231088138742388050966518468102994605178948430223246685799994066431139133072620266714032571621218108185005214591092242353146399319121454938330017780952930646322480792073132440634835166859502653325192356180809757520075342517364973970566863918125414223040334169186954792967318323388165054073232768903090554505065239861495708494587322587017174758272460957346774003056193341615887395700536808860087970088897694380859354674207720306245941854653500378650671505318367663589460704033439091273810892913799296993671731295057553072233636405059548841949705457445638304642064653871876041523375717596147193263233632905168638639398567191350960606886178188305271534349606007688924668003614577656531492036071150190843446472286883016337313428167479614854503461643658424194956218601040153808669299133829074486923915817223067564822452060634545993672176216461781006296831565979007662940953870361350656110518019216342756872730877873998619263130714615847645821360197065885577446865410858041184794244901380842461510097563367115535601558779163169920423056057548273368561209243131837606638960745009806164233532626645508486544593692637654690802105962947816575210297549436488077189512526546882001358013894834963296311310737868327351037611834967506962435382919243245867705260260221753478326310412982871103211530652204400252670863808221235286817601664952246767553186744775488006285302248090925365275538263984450053292830845730724855366175862850616378246816290602816473971994488519905270063650651937057765287310914706759660204084834693586633082230284347980205850761807304554769006097356925622604523878072888770220693490728377102335078370380913523279755715884066048207904816238928567763049048482492961965972038758442371261899407483245452504763790110912980125715009025371041669319568018634254799573812799712600197375120034343405795752209492352136830324427490534773339364174393285739331441266656078161898476208815761990631921900296874783948756506158833541020067924971096855071068578999230001248179944680910768665456807911489305004246963578714350733150596533450982137179085066940363143151675760691927962365784608413388300738049320269209069745931919662137054402758112432359336991298616474301314836521909704937394759096310531085686507436489244602532155620051813386304832059829310164818378125106692828947024521405093991123893477811895601637461185453423091331026736913799150580740480858132952247818665876966318148334981203733917321762937978094505421517692405866548320947624608689191779344486268200542164464106200501013038737638829191159766036362049199418004969223814227772231187010300385349476086071638345757815003807125494233411842314165585045656475938210026265992917935421214457016204390995476713770481955875404027589881063755351024810327211587917146653686715941715546964123959839204656849423628988117007486240316745605638767888240565589737594173732059409171895459250432491364163534816763712175615067276603633620414859852423598180342522151219535111563084051209998013134296884939222927439573341877523819350098567604970844026888501776487804011757647373774096608732880051558005088092258242869587151182529
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 58 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823357773 --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":1100000004823357773},"decimal":true,"detail":2}}'