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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 #1100000009070601048 2,057 digits created 2026-08-10

Value

89114155349331037804376058963920014836254680316164372723114102059036545081182012209134172459214572770750000351419094105491764665564727477570678874343269759668043742242920990883328990017874979331891709321397345565925215016594074612861144642999805122192666110630254119848364064906707845908703595539982483225895931431961473761389956194678951599419529406515021353097905336897200902361270694241189472595083714670420449347567999723510591291563665707873444057291464090534037821322091206607506492993472209983872524516466751731057658649450505070708460560556877320018428195447605187390691525814353913906650566358711146834068395386138456927195252610490676407609232096168594784703833158777632601745477350930162186639202567755996484327229016152561481486361791221484762679359951352758329747359743293802380674994750898345677280006883836705060720648195455639290759503935541647796964627542988357481423277316190549208108319494042139144705387626990784210042649585537182646132954540730791205254042585464273911947353229511504536373974769115573935828687705156300456291007751354815286346819091485870955675374851885381923086931744062098979140038849010394524440405853030937494843501060960731773921672241803212659223999032828979635060041062145725089495774177099742035004631172760286723643675433706761835906220616060845811783397084005358752234036360849292752625152507266081799463646459555523761967739191138424228691921212471669245681149498363851220076693671285780858462976055963248556129220676769139471389384502285308965695010923187331495643190460529123268821978972932573706198676552888182218650203579417626702760244105208283725560065947033614933592636095580264491218892483639313222655761484072505490097660727379161398595199348962616849600335679886799444086279995246748113059039220434537655410809442474397107441164456587028644241317595059133388164959699780461196730883624741939724823390283017902703966635046819507799594739054502807844655029713176296833608727197315279287560111911621516054648657803311772222272450432460591122477489788767024357446096966793407972217348813058775204008899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,109-digit prime (171 intermediate primes).

Certified number2,109-digit prime
Certificatedownload
Certificate chainshow step 5 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009070601048 --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":1100000009070601048},"decimal":true,"detail":2}}'