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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 #1100000004828084078 2,709 digits created 2023-10-24

Value

162191006275979316065623883133333700630779137244184970170744048857745648638280710129124684591910534758907950648385319850107601385775990231679789464454554166870544589745046781236627718344990831668716548348929692038640050691021838361671191577867490541779293977961069536807888467872731745756869095221770694000838637507796938258815105635645842862129471983364514414367862422326790856293622588334747387934669635120409127781622163553829057224508950523492728436636483428742385199312669478905232325733650984795498345124814634064051416935936701525750851756298497616297212235280401707627977446202354284816921284445868464947632753856264284067431062095312411547198055472543438859964065471503617582697828413868212271570056676910209236710528951689453467341454072177684980080590129983935879931193730036547053488383352647369128263458319521696547981280143927007283122376895271372099687183865766277590666462804344074183791838180667796321137433660815481505310061326386220172884377500548939544209749066047804192540004591565914217570263756829607997522275063287748312372167213794808548691887465987694477252884497978016343538455348074431010980082610512010979152824026734062196633164779455727296417407863671042240157310091081927041423291401956564646415787233873247746606929224510289385438477364762806438947187922779845701482670591294672149226187879336141243359705438578051581682956924002241882630535089704432378074240980923040820524083276703279649878264743887196891718416099253859651917133751728695696979775395812322078373457999803833454777622594300147412129073976294123969176116300271037927020434073424179302144849727795456699863053156269657448757451018100630911398243081157998803120788531455449504715638096502834442830814461761903318511945353285689250997246167829517993597684452529058085980790989700387998300391808334851074060272828019693471099630168012312436686575833204735855397404852537775224998317698525513893667004781190924880295358715953006052211191688162570424435003934321102146848406692393493702445869572982605896131433438033153243277200269491869657686080879527929096176297150876151354317429883872865033739928553395057125332835907395419834876170298384764471329845623843396576134918232012473623366210448653083841788714832189266876908940077632231335956938922484510546108808967600574339950563765365912319074091869516364091799447662170296702170252830065206367776355127009333480753990594483332665684188336834520183033869055698888138234374502669519530396608883002714017600889299352157921854727235752658420661203393340683219710936785680463283921015465246654855427873705736735852712388034894955804217644709259630077817511338505284420303529384766273281747672323144500979142875501460766581251376140999021325176519031096109988653913911
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 150 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 150 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828084078 --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":1100000004828084078},"decimal":true,"detail":2}}'