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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 #1100000008793173199 2,304 digits created 2026-05-07

Value

466400817219584825002036542716305808940099386183473245671696940912598447245622705288874736640851943871739090219014440531738842946300623364477379806558736784280299725856241037985753953446877010374452311702554995274766529868099822779432783729920029042935965513660098500109583395075563435574182557686056721911760743393859684340465945474800346257701657321107533002679003562893292554139823572082837052265077605870633673175317271196158610447596784227151342519927818637512847437373479088995448649902229567397751319946777859081462884055667380355785910839998266212912092942999799457350651269572454637504227551189411771948348490867664691857598923363886938203452417015048387010246644418025469784183930066586659833603352994955719937086000073077952526934906480344298042362358357368150389603728992648510063052652595226183172098893500637202921792269114473320247240935210599766281431667704369641796704438197867606190498076937184349681494778145958778284550347880028982671295907748214134366367087508843399802644964336909270663432872248941778845541801329260594433283154955650729303637584950635254477918135846530464018943565107488673318563958823921160614872704879322160555003316532687647711794774015713245164078730747514798183878958628629735030548544679137079594012974333879314795014436143388334427702882838797752545780708665075810657288878575641547845899554097743126738334844860043430531096469955270214003899539357399189676888515378772781967992070719090933262899657161486949427328701554010054065634042144484691376355670690660860939392093347298968326835226500885504510211353202430049856290518266720021558309914874549622320664873312693973327563058285191455231490153876128247472643627204919254168190172969555256344630109026576508235531331523404722322850886960925649905527760763984070634019866852693396252242882788176761270798451811073566714351346790506840298653626435998481929552259812821171070866844293351070032077124119891861617522999266412662526983882860860833180347349710630940666078227097788830360685237745551074000502795094191986051667445539783198458463170511042573327288773023185494789264162597267487005915605978174100530572855863348890171317623580215570792722066295522243305719407009674831741270937958328571946576353186529866724324496675069680392115630472544194944444981020244544087384299177786834006047179555852150273
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 106 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 106 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173199 --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":1100000008793173199},"decimal":true,"detail":2}}'