factordbrpc · fdb
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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 #1100000004817606017 4,763 digits created 2023-10-24

Value

29514054915000257103168526331581888995642649528122994167539080887261189317674346594152320274179819818142959721092655059645505359537861133373262916516471258626292743873392773613987868226596859120891015456523666385486338488768595295766248876953076666172919693316460721129585014207778699831431020848200635782999497563051776711955304056378189696185501784824926886540586958578615156609140417921659786722491056687979960528408207195205832767089107575831879143643101134288366961289321418145203331266196937067423464301252270301824078224792407505008887035760904561688970612600302350770477618024739168121791306958362049100290491540056173280955904395876745948810795605325596565703983061333606054701389988556686714237455332978460676929786781666457556628681516492398888627595258048058420448358994809408981865375691474428305098833296301496388830353276668649195275769642572727051985052447721099469272436721648813298504393318786505942747564929852331366973949685478993188177448522580994858311428924919919785022069282551803823428641322593260307005797798287373206199311864056148780553822084960574129541641017995676609282878582827843364493589325276298299200576742217104007756464158208754521270873632649297076539566971471073704889430539609722612760919679715798974070523889527940465442441176593289211284719308267072047437252305207105286185955130729512271489361249047202973645753015440496417863751351470632571547465499982725124683999377751426421184261774494533064641862815042332026000574138659750808512795258053801479279992272255599545859465023402525692325952363872049850926414410855826184962972207540773301064842019707402775184562751762827975751952656990388240022692640506801028986084654792983249973379897194033905935232421349895158767687542816100391123357802303381498968002730100034569821631437578337523226308351825104974784884699707286814201903244935283161060146025764538994404615602580431460180227721799907007934951549043690210769474630261490202692690114597653581145680202833701476028797406108075296112184882252087892939133419609077871952282804592966863940936922619203733620540414872525107127139377590860159190105675435475955746506469511719588592080207087927965296248375182036063383419025204660195910135809239035765710365449728606985047248653769189788008675430346359308113305072777413069218412546519595121331494563356254264335450161292680881594883726837457914836231274314229582745985537648890495320813130030947231841795558126035998877195814711824749160223259507079676170035212832823312521704375590707835745615167354446051506444970881189364413261733193570736539153983166330812765180693975801083589036153029750068696230051382592501315947708630996885252075457622117058490825514723628871310279637464734973645356772885453591143819807658687269285544272900476494299627443128818023704596287861646949832078832512152195058842895906340357694029924642821822599629165531270627874023765294269119098950882659782727615363401612529535575209252560745219439389029654472454203833332326156955189454137396862337950142497856195058309480839358017145011787357543808973317734625533653897291445887813723841985242104127852151072345646026349429739014721833104676328807986187728043189660681159172437939343629241230433298750700485377103224777967856886154990532828478064283481270938356636075954788580481779945408611334695237815584104872447242889560745789499925991618525330129560042962383555153246831855217755881493522059000089482111643994237723293529659944669043977418584540141165690905696011325485914067094133571046337974281626747363314695599717092990598667723004859568792384573004461045405110843496840840563268522778341787516684666781564650524094860571295028803896049699570950923136061580036886643129402086274125254280921188159324339874449881106599352362085501682544901916165390746790385534410618961393117664996365216105638490231004850100318498310284368273739284848759336716181793205007950811681176310573696562210361064262817680516533487647780426589951648637008756240544082400838860774129415203647317785192102944611421766837517100837225275931629548517627257557204456080504792016516897937200491236124221773974890931896646926954356738918953364717631530097936880015765233948126245089443170669395830202108757638365560697813169167799045668029758519731904806295828602012220680692175723094810716755487309629373344908847061605428801805932222577375179749384041010619590305049743550613584450807234007977236138971564754620046096259838256543140054642294680862439655105683651049517310073015940667794008598666681083907896408990538238474481588234222788373873036656799369280770217355406861641676731954897806428121028163648515078946915452751192460892172365702949304018814578129849130535285283280336060066192090700381865639242893778727857527567938274079018084666529503195683180548372605938900905920978011012575785151207368406500419
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 55 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817606017 --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":1100000004817606017},"decimal":true,"detail":2}}'