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 #1100000004813850216 5,183 digits created 2023-10-24

Value

15138926202416606635029703343436479349708510977534309918644034144326986024696509176571832022236513332164496036752227987885285119523248175336738204538668157122385467586479525792625611180874947361354169504359346396988616630367382225801882915038540414806738099016590048184200019097897509120723624509977499039717838255717507296996917101451078730659597772722126925023595862007913052137195798820400826083141355405679656893739214149827613439793372524301075220298442199360474612177049261129491188880437736589186038286298858826129901551857022204872390845067236814338946550182351343639222144555337887202765063153052793014497841921687622018283195566531457466033539951942883504711436549343346908344516654132229866142728557095357285841089859677682829589039510966415046593671827638533150375119054928956929393477727236798139047329709123259702003185700803375725757196296533526529532245735771781399528640423730645829685487046801223465471110784178179790213903241341267397332471013720059817224234981290144480636299026253724774282593371612144946456570788211632702693310919928498209999941898745924454099233514155093592100008503127990018660943198252056462053311382496590236000172123491513988874481142188398337626847557621120021285064135596247624866166938024473818158918970272190056682287185169749809874861114286323928506467746157722889530524994815283527158879930051595431775908969367084736028143095945635213506882218458940667317177614127216233868353842361647444709123231431424317351387581124823408789930868377897224122118271027861968395629786969960512567954493477889517230008220218560221828859480125323510524391295357501802269957895166387998750078365759990666262592262380856430788445597055277160188313961900638165959338890629943618243866102579412887507242803655445537287191979698522132816886459691717287414171823140366620314985354457295705586455923349787441348652151067664913558362389262832040976558359116834693976597998736797340617568782111691641434151991272237249146945949160499409932633639325924192391256852488094764111880414538904624241552456604819134273877059015257929302304612824207847833665761944084343926808534195978840721668638822527815590486813631543517870905566620047183534513279676736297764908355854396111989847726399001001125469100967030277986085917110475369190433740789136331685060413285641388058804256444260034413615400195914836967833353333643542596675123670519572143561710165319477859468777436658278618408768638033656066498358222687581343335441227379363271892821504066712390129249119281679941734357150104680116831191858871517226054334602671794755408884346208050896803786963100503439344588471548303974816881153122099179030206597325351989323020092829110385210326777788075893408195760779978009762857040792611300451251539248665270692047141610664836540345735326091622823964539219066139214463161268746233749193555793474655347756821902800254804337273206597980576513891512900744749779073718989876937045331606433195902064250010798812816187779826950789794846085388492875675674811104796707041100997771448604943192938137802321428318995110042136349139445861771737432488789117620134793040306820832951765702820134619821629214706986822448872907783617314803362667653261685047616774659189212588114593599557950835649166892466495009750856025758191038475868743158478646338928538441876653112412654766925544481682117223415831470646926893041742323356370129217193988795685306155628280582399753506344224145117405639638127207245705014998675413177632983691287271951421559525844118406378552618116860184713916258175592476136755318341171526296888162107341578097935969385436428430348153908007766560732253398250823377284680316993106110074646191715975955493099391779359607335303844468208350660722504605535246460790011958088760998707581833137269138061294626011853341853535021289308571082816885376835683014163539900669343655896696477945731331759013251641412464837319936996423211170303089878753957721288896708899225807401123639342028578841703388813290326067096109831002288106790990022355987276278511083843857896066375472247661927153573101731393502557693638982270908423523876453949891675828353091482189652734359201512727755750444500397123375401775650558935140311573262493021365090597727055063000093420856171810748233964724171941429309499171514979777025898510874578173033642374779085227699180257300490517205603101387224715688144677176817247248826750295375164651628910884935972310325782252780892581508552630246847430266228040739158128783434122909192157173171507485818750712934483654670090864297237811066402727431662748299262597792079752228142972081543763836649736395599088616356132046450895818972732363680661273610842964407320260779125880226712189970911733106738096422836514716477110246955239896597420241409487898436595117531684915536649466306822351794263771695464778536131048903405727278009734973682646501185746831358485937932390691610316761004432444822653275484963901930204973598993152514624033119698421759348536873718613440534968035175381861022612185647727963304061906102597093643491631729370268631864065063064744989733850094391922361720309913604856294183153971817096905286496403051068660147513530125160378773273394831438091929572280477768170631924119822854839326202951581940034178271492984997493389275844376621591898079989721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 84 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 84 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813850216 --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":1100000004813850216},"decimal":true,"detail":2}}'