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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 #1100000010597996889 3,082 digits created 2026-10-06

Value

3499367909969292378520607882515032860114153044504065438927426392824210499185320292535555142459443254033814962652211402033625782339320920270330001020781062469421214754697674909031277550438616274437295284687323911225794345241954888853105388687118228833220849799233623252537109125727949366746674578329101949652143240737900210725840990303771495103598627511077675908207007059460212070125204454334902443944229791023376206592478985328373174230208071506718476819380839396584230144696873640909852606532653498682415493430348628636274412463423238414645230924762252350016693118153737691938745470402982311306053340158346767879280496305577270282015925903005439657815543911325495951897942018625387719039077428389992064441661788542724791051280403819496744359698417728347574202888824293544133304821041377820321395039809099225183854913922917605635516600632955948238075470397991670708794087871982128422223793704356621572699815073002969022717058734916758183668032123732206762225043878915909177489089638531108803535632565158149177075687952202271551266131776247439307269123938665468045390161949595126797893649312289754331372769969468947090351892070189660452414912337610676131113680865052042188809863830318785501551433501431734925034790977134494301427622852807307476788538839507967300481635542015154167485107536994688181105462644600649473281446016398442179090422276149190443314466313306980521259571968158151767047168921601894220848293896814690666610051642485323167614289889357290300665608175062651616546392640662733749081977570357713558288439231765842746176154734261268759116825247701851197640676091767864630767396026602865804348254309253274268566496191106105091865227894796407081210996007011581628752524466605118657832892261677334919826474475855499052569634650182960284216566719606181050250256444180181132737117217143687309064879627642697098542028342394024638480965077856059298763453901824413385659215756427490608150106622023149486477106602628322835935802902049155434959868934257149035328899850824228161262558486751113693706943826780417210221536378086445337363627583844614896991617261895000838970395137743616066660975178391046715413037133084554840894961958967577169134653820943366508318550200406337034968004918279184113258792774916122614900940185379323231083239351011719918993247869322215746308583244368663521621733204046356139974627975981237069268386143356131448355156680055935003420867127531659416023807091147484774671491772310479822724172171516532549298588490030106160387693474964673354499103097730991295862921894424370456092005532815099141421700625037258630902908662904215828957587879792162765752221491555920991352119635280399155514068887495731626956915595128223002735195058987805052025894205708867458518607319529991112861583391330634954582417899286941618931224674590952954428701500828531322905673245554560401914967147973965400152111718025939935711418800492724407200228822343871367938650972877988427798962945074961618098051105046675980286343070771159596993928679122954569713149472350209216069488475203211304931686673542795225134555023587296488322314614429580165198444904857298694993847683813253123561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 3,200-digit prime (318 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 11 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597996889 --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":1100000010597996889},"decimal":true,"detail":2}}'