factordbrpc · fdb
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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 #1100000009131612003 2,408 digits created 2026-09-03

Value

23777728418417111114950147014607202897452600848720909922888847844229449607227674476585229635700974056281677031581467018550643780550729296433794734180713962415013485105746117538662076266673171295357403326841390469227262107439259329723879381108230439265478271983928246937460670051673269142800739934167917006320696348744115544860464955360866150319211167429016919616237864793657054314673679106407003299340397737859454956443224916336159467026940031987371125805353640950525887934043475365186539661766718320347961312274757071150433930953115362493381442445730926680606293880157512923707419055149690886119616465804251475966476237353978567312899107799606236401316164704245929190881482337646316283346002510030520136130723433717062625685130386826642508265804600295737594784533381149025261052167666664697253275753410996419558539635644989174301846027827262679922992843204176329894180407879067560410136167620805949030121986345807425355209236288277951408169025820651866794202592900873965108232308909066776141096938274482634075193864414922240057250373360242905919514466923337241183002155116370021426165159048958636673169449157853657217825388080585070145630979945372605220443450106844420119616704676292520028965549954544906964175601541513561215118577764019844259904699036560042061234466561614921161265030005205565255608829011099118554467230396683811234439445663180158240067611541122077485958364446451244689563504710370182233924172274045944354633524037621964654871707779475900254519122569550155015893589684921150889703515161469197327222419717410787404378376543608720994840836079848039460812415741531577977709818686484993060838529084363426420179348505657972550097448050831507100691732878878449151672716439844505945974578281134739465327829358278277108816349736067207205840102485605015413318341706985923145846160364675178205994297656224913313748780068073867614960507813036943067330406105172097511999121456588545233391255890273144153708071739211834818643351717258546374904458185798011111703973393980984605151922896046619167663946691617804968550448711944063976775582857592990099860001704260058637119528747820896730618641724142791317535371354310928229584656020018713650427558796610867749608872675339144068398326028467958101186592950111854786713951317263770751900582653243253231435151375930962440137962743351051852518594566793213641379070674169281328516033345766517128949872229177926659180384541620163940577906345679211127477069391741
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 72 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131612003 --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":1100000009131612003},"decimal":true,"detail":2}}'