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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 #1100000004851714963 2,746 digits created 2023-10-24

Value

1881513301617452993515570398773132683307457662638155983729606788062962618151832707360819753841427199289639269227354823254698078324363635283448124476573035414027904328775690004134618228991792779753069279440973705109363243739468127099201928350133076144810620424640641489097057328862588295536299173693395011849993421469550259618738024397974455576698653632734428727276151021567318807086325980544132305895643009812769679664576905470004988136118009552429335399708945846263716924563708443463990638350380228932873256164089138098673388758507041240705912880645545191427380188819324073494709054551976798326053401520748233392154961145331908158939377133130071650150611454258655406783383531847927623917210272685404005717728336439020983102085046407222802426592672812296924241285209215959833738284136221337957113225257404938936963860329340631814548445943762977411703355289357200721405906596464497840286767197008266425237745363576148555039878913700821651701674182629366526929321663647265819399283160087094511677135944022633392511059510946229784685526567878120993986705444334281366664727740423541080625656096482713532933867586823177752927109971247173844477498018347202862675631610933091521930540425367149905587382801205936968444425304349200687865202811882812679268192242105365011779368944643307353531632613923728315349908774166282144185039532800349591902209633612268590174796450892771397984576573943628977213973918071665822134445135753796453234744382130381308989085160882454742799735412995484823577194489248348579701884746595066879465829048398933038197194556379130891460488924990518487133108210608666985089594113672018209157999896722075205189856482147220253089477414864940634356845812776473966928645999340327338104164894970592205017125505496327778511309178308739682510023729766622163492578372495267924933397498857815621358852160527765801830643702976907367382392361429429945079295979171589641429240442620521441718299753805744136899105295027884487403505360881364114467514682662995407263995120130905127990604034742471096734942162919259988575733239250334569738817565105449467903452783852681392573960417159196978390120580386571628867142279431202279065618918258158873878704680063224520962278133708572389037858887295258871991998102962182088209581567374427115022495432560533220625007486259466014071442617240783880131552734084651861687345649691705107887261021381676995583269406596523411334331763398533957493220395742408645486752070424513371967830447212067625956408074334388536464214165514866606662611678961570386609955316510413328830566532256217748145001309932966145751649329383124985430811788345818901187194302506517605400235540169006325340195274603015972571907396402441465555929254015719987675948352382584947568536582671449574117101279032406084593302447272292878614538319
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 43 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851714963 --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":1100000004851714963},"decimal":true,"detail":2}}'