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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 #1100000008680838654 2,345 digits created 2026-03-12

Value

54375235284446466714438257821240054930795757540992643696484935513817207962276936045013164009829716498176931264008986397732388891692338999368808329103237257689526016099534937259954903573729692106020601540103711177435556211466523665287304324982283984506810925946403585843383173300209935161217581312819396086481412890464817050471118514617175255307148409363953603800320414670053220651194016444343095304207308216229178738423364548744937706810797690116424878280799742181829538632373751828656798464366253165645849728422497352980179148514291101232629446982003986712169036966332934406255073619885138960284279154836656633058191484577844700303805405351184967634943924146819917423442267939493645646770502959999653956150717893346018750865761082756797348782643384999166097270165394857784334325304963439591568537714391488444062421389926584910845269259681227678506880499548835176147822215133093247624829760046565839331596919504154060640657118694290861221505827268257457210098149807434029614295780233651797060201791412588927401769270336912115856468555473444782773946517253919293687945737559699552268767972064731199135854157303949933461957764011624301430064808377119745390466519161087982298070954876299318884115648979420828228560319052075497638698710681451817984182304814165642866867248718754576933321955259975160277953241575845023828625047030173750158586041742806671193320673728608438362962959352006600595136363338533818306252362943685827518327355196202511022191861395474552605547940715096523684379342619413071847888931701570116384956295326287452246172809388739293003790567579944936995848573082928124378945070452973705104805738378987251746945249150969729986977150839671946296612840903513276184861787979550585219925180935658288358241017355730889635942841214111728487202829653475505357094777712423899606050492410019451579501314032624097262662445609631397369858725002321327495174262236267262458752481086117542066911768700700119491935190128895785657219814032090855208991812232689432475784402679684522096428008929855804074202751523324450865173783414653583889876978375621460409446349808635255095026229642609230157595493938770114991992140396623183204715469321786759032569766780497442441964896552995263933849800063751776451848567072299446185633635727290233738617018994035804324307106807829167203933541366675657527471670242753060660787792732475621684962807767677467942087
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,589-digit prime (161 intermediate primes).

Certified number2,589-digit prime
Certificatedownload
Certificate chainshow step 18 of 161

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680838654 --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":1100000008680838654},"decimal":true,"detail":2}}'