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 #1100000004814162629 5,288 digits created 2023-10-24

Value

78603445524950358956159116045174692169840472427250777852676585102150221449624246014701994171822701371874835793093547566043138789577788336515697956346156195308436983475585440256270121103994631538711867726426018109655841613385346440886892032853914930971657898866958239393360800841567947060140993885597041390467647614236512216461954747449337898823440238455931046953386801025280627316234328265493409247533389722885263415984630861707789876474373340073837839172951035564209768442333904607591236038086512560749127529534573518734445895458301125008038605758640707864127699676665032540242068391821670268098942663527536058376756898785507208551088593965560434750486057181518486388301598249687258435273705366697015624347022985436441964410207270814010124077632831756625212529244675036247995667467420796052477645484296007158078333702082180401865492913960750622537940738062297179100507682731028865670213310762915396821572158598279409043352537534124672925941388255044998260990343574376706386485641845538721244186148498021146602311607359985229842148381781989490922712717444948057359106150643582937977596485264846382426904267997933668677038364992008125229047492786813961541097087681572083849737886644189715692536532337018898733979156233864236653418940482129870717636168471378709988638049653952236105361318680253880079812537834479117391866720564936808053928668275284772068511516196491803914485876220738765968380108735310176911094742053755835126899398073010333197122335203143108253565797517376355905359530616288632264122212116781428503321607259464612816595946935799912470963786299002782828842850653075377331984381958708090988147334215252755451835685802815364803576562923775414873568872302227597069529411334401309012952552244740069434937520772085280758295041949549977036212284366761446290107714292187941985854626746870068766013882223700099850378575418333826838916669648519990472381051983916579459603080875958992362950267183291471899736848464696571226713751085083361142516883458588035988564344738150143135574677323435159083567312367821497035212111867264379092991820270148161248113370720670470902487497752116461404921822934018913266510276258558113891243844190421052595290038347616290629976651586553081830369597335465396306973150331338604957620765384363119362168260192013511882227500472037696915989095183374521020051329636398370147989755131316450646999465847204892136263466291277823078971063157007791475370216985402007565769691926332319151781758268562144981313371622411813608932330465986609845532526663753201812609499737900169293763409759408231160294377033913812713235175682899311721489627264246649709867533630881871071081417533852457270704660078926804633837551055776691911960083391998353936097160351192979675003107176353411405815469827831037609304349546286966351404806895994204203423167219259778490621439229714992701123837444367655974408471853587826605196920289540792027211995850024018893739046785088382723604972171646711880386320137455885288442767925405172795093510235369709992971276727582841649507411169467727874858930726425458631605524997634253013643009695907585871580374326384893357804037984303412052592980465187805692715376808382476219079394803579219851103062828761305992193088372613008655662558455096438304686528710314892051074750888417415975500114184175368910616834375807342672807035875317027160114412683315533105782554146825483336417592420867782196267250672078620489773185727718387181826883156223244906051851152503088495470119103490703202972676134158298173019319801641009169572932891771180245162580368651974209326492774500059807867875772129253556959269471080139751148273739113694445893857054638610712711087947048650984614486066911178312820430656763478107548289784127343406483378560496258892242591380035763773295023744049264936043777008822076409613980047880652114021194433369048752710470192506576431736127996046129872714602530500607645346794368761806482580557413495118708701547023663740687999123984107208335927919462298268103544932699096844826325603177779121248871629984264824053468002876116985703583876084263675160602059002480968238629568524042908341474212741002800398930184083747697122066858209990705749967324650719923908938387679901501036283232699315026733046420384430840963571796603674125828605686973404036341225725454663707127280784421505051945507765227053594251039811884261084533526587656468674519442363802918669581415751732590819859803531894636960650663917946881367779614334242041188857245820022052449946229350176518625166451369716716051113511326101155749039147610540514512421330303626839820006137706817567702701007395195902508918426003970469139794519105470370658893774525423055133741147749900785767705585585556272280522765019612135352319087680448614332729757349554889523340571444717974341963033250679830857815016061465587602665284524087138473773903296221632454601685066658286166524718908559909532208003778321162073261135059114851232001691214434600295400899648281800067648572849592423478157157281708602257873631385782779980720434866156703079837963101090113244202232173500260152523872792156689898105606057496967975015465413764192347356015025325106934165401438867169486243117772617668276868012765152951688195120931555725624143246973826944032874519573615066115267729791251622398370853794210623079992755192445629892429101582435637602333157538059213916731236920216579947918245011138819591916076314236403
Permalink
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 57 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814162629 --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":1100000004814162629},"decimal":true,"detail":2}}'