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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 #1100000009061637718 1,896 digits created 2026-08-09

Value

585403998044414540493520126431103973356091545468372663977477683809482006055181214587187582649522063324907255963330576997267613098267351567228461586597637578037654256552639797255329991977330416534297430741928825494692483402463925142936128703296623327656515146297819052330261650667805198020345604232797253038325367479246572979210001582371630758918044387508975245335928734356564917547136958892225193273845415067845777230996435497114481649602412378331404847302572730078983307892767876213194593044494388669002190624355513223198276508726640104537734875657301607196221549487424985896595359710939411504050749285661864201082299539585859631425166142886794316230158164794288776994304783762381151660848495575278497797541510132792988835904629192652192819075514464104698353166446950395263759900307866849750235879054849050047122393107873638328999186225354153562402050086628948363089246976394136486218446882253202601969971560758804991811138229648800678892955167907527796953224576277174030943857371923636887152483912103191507590582081821729262303508685340424991176778724406103340074968501464628166883872543917983641390388398615249565560164593703179401217963437325140965049601278563503343899954158877260823982821672672904523884785281092500129247829136497696459008272585731229452550923031242438451632613675226904257024591911302953746604786509229934229645904587705531570990970774295171383178548783088829271043262801030865866906956715966264344003690353363802326296718015039551710244020563606268216147196589941597283113175648917041527496488834225684940634660461025777494425443721891064498090122595909910685180291129149006873721644290507561698341124501912657154869442150177331249562951596940395813441261781873360532759836947503306458975276693305522554083032938799082007648777581591858697861844989008062936755358015851928649209559031121838064108413318943008611343595258798513480706021061197661541382234890828448746963647
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,373-digit prime (183 intermediate primes).

Certified number2,373-digit prime
Certificatedownload
Certificate chainshow step 38 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061637718 --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":1100000009061637718},"decimal":true,"detail":2}}'