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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 #1100000009058378189 2,184 digits created 2026-08-09

Value

536609799413276979967703875784359071094451509307487522277564022339950136463869189178948746063316472986242625556524974377066199964513245827426134825127555374273760532425595256148762554921601399508083689823801610505295276736125509085735349496436075477044094923550685080284148753058990901286461357523659413201224650705766612491777423524669734351319271103805870133676135614518290962184641404521948800679508290406139677450480700696368773703080171999958671671425588609479596522263618973579165798160323518311500895395273199345206720961034151342787669837488770904598562836982550770205089576209995746656527466130646575508931556130676099862441410737143054280958585957296652425094145802651431299273022431782641889618297778789692927056314112621739879330980859878688505249365862224370464671808644924897494937750674964381433419134791819745396522316795188403565430510176859771186461004094129958271411239878584670151803823422773165272338548672548433135063506493694232090859817067360373421104686615762078159770856008861743240997903568759775255866245271329412726899409623323287882487924060722421206993118424095838094360357923750902155181323419514879392942814977038044523263930795702746955078212195103225931255783179896107163595984238243655906763432011394994034932881505823900025518606788217893539891450107722967196658944848242095748205649453313759539726535736884661019719126511465108136277849079323838410543931358649282609961742255067857521960444331608909921165489518243250961062251826121382173283515768197755707598845411382160163235836938850484106199162584664950134745511847652607232449597167784392657660448874844538824748937455951365738098407980129847712925139108290824280492694084298304184080411952062810439274568855103724964156353889771361102140944287264676741451264705185366694866332423381616030470934555445866780453966276146001754861497543359528278049413874896575153281835136175651428671756830355863435690821890581237722962568251025740772093973115194253416838461830985678579230947538959273883655698320837343301986588578152695010300750925519584306174215234645553813565796364396378433154473984178127463250671021130398292023158989937227729228306071727057925194825345691498526538345118620909968909617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 31 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378189 --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":1100000009058378189},"decimal":true,"detail":2}}'