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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 #1100000004861550688 2,676 digits created 2023-10-24

Value

668715747117461866760765073602159191987383500041132174119323393748407949920005581124974467035294942838301061792189329720983442331699539460820024212551355779867358075267530844196204267458958229445215432310221950340802163825955260524921637562405463427138360194030606326853779376325842553181283925340354054606884870781731107077271514327056666024320899329771819666047760614116306142980979972294398443757682371245775168820903457430620482188933189340780556777721329386200461024543140850389983623410762837538646717441844067297890370354080783250861620622923392468518061236553207664364078511037954878873932419124849749007327080573553483292622102145312828763678595147829999569024379142200167477017151597344717942497124273836986789907943421158622382388325271428990689295440519282625050603979003320564212862892869340478727577819646919485387327747585103027520810456583479298984474868870180200361965687237704834700035996977025395521330695121772663002397208609602162634307076519857533776920172647303281627924274312964558494561861567380290704426381506172239836404807450452054040246597976315280788623127563007437994533141643457430000075568691527206442447495499326355771153798819696704135178351927113987487439912633025116828692527211565081882457018406254908647431088084468828383153050581450402030059233111884911696411670520941757580093210149597969823875996773027930693410848937949591143799430169862482840597463728823650456050246518504590337297046416382384135245695262461022762808257488956512709657609915988474073684072301612185091137868155897140037348699553217265502415737775123199688040858606909597552604985688064773639137712745140954415728102332413915022960671108555430516665072425185748550537638851394482478134729989051166720759970525812073631877233306526092708830364809834049030944009070365240384943509076108102151475192160132540113705848983530406468293685209493086534212403109615906281591324259469157815841377804780400495549594719955036257735214796470292791535049537224599039705180864888856875968078075426568510232726555974732065577287396543348760165169255293336272926073676038524260710209187064810081551538662327753108377518184790742005119962935927914837417155628981648915272108685326281587652413743986325545587296958105327445642822933958041805920279952608007033984423342457928106425551879489112964162987281265936612439858024450900492045516807439652366494528572054747338502749892462107224815414538786980312113408210125527058075282375800387148172587618661494475879394317914763750678951543259821985642619805879172300841061426448170254771217731133253020497098230072230680434239435229625178470514165994629099421068434720014199215097737271536806480657309105239199633792063328904711047135029739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 24 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861550688 --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":1100000004861550688},"decimal":true,"detail":2}}'