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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 #1100000009053140186 2,562 digits created 2026-08-07

Value

221171040331096530535688452839674071441837882940771001569871783446421263240701918319034925874962448398513161236474359236833537914118409687474837185832551116607415044170796456191803045929898923313245487050904243983086095993891169384935331504843150314584418243508594332657545257847867801386512768237678381274490875950777695082463108480468688982690427845697759333759252338584951401642703039101948948475945030936518891962031445878154788040727248619186252009871818117669751659690114297270968993931293892950825457345118298921189699265342895207316945537057612545600768952380789415891361431024635949189635198812085124393517996524797233108854350810328285923329179793025932077463292651929419259491168731444661817721998903788980207247652143412162776872114636855871568276311263644684804680978533876861580815063291462575160709965607696454218079953473062160178094437951390809808675874002047524403755252121254724804910997678363517957610423330951860960708142637900911411072157641648994013651921896320312352488593685285908505340585931990211454924268849693780021735534554878487876413283317119601939505359151913047492439921421037880279689262882736905477376063901687120930091858376497133405755828495093136071488714425619172635104539165972330839579087374042345152802602554759451986128726229256258061577627362060801250753098770747904904230082941950323019851876154550404187619863088006246126214943114302581344112823366074349566916624383262428803576950594131777681728823279863159401992742021064104113465588332769936462474501975599837653173002721952788245691194915645318170334837553500933122671440224497922236125277293838277829702294929688355963122647101647145147297111434941655772661344896407864752138377990946711861702331534951352879026501860513424763510958452367857335878666925743394987699716658972752281887387867783364847828286033338801229224821066306955461472801108180625907613949769711395442322875725429384693908426317639363855926834970580041829582587819766443497466323578652302359533252917555532394118026684086680687300917354196897922841940816392963267635698319886184977384946672982098571154952966446873959420306461842539010472143805676535771861657763131374851935008755885254281504923746217885067601320768784413122472006196741709385408934519768290966590750381563802675689350168654920412849560424102928525832775365456512650604276142387869883978186060821994581422675535798649085749861871364418083010932997379256161455920540066995909318686165613867904692419880289339585129284800847244281133556607197328441104520785560979764859111483998387765006643183270978592311494839335048964422449
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 2,849-digit prime (213 intermediate primes).

Certified number2,849-digit prime
Certificatedownload
Certificate chainshow step 24 of 213

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053140186 --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":1100000009053140186},"decimal":true,"detail":2}}'