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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 #1100000009053333000 2,327 digits created 2026-08-07

Value

48350272925912577926719171055361397455366264281616537666681211353440845535310302176041829819738334376426914164051358154263004283598998833560658675222189056654573290730459121662295643530703632327358458889300548278140191627426796050820571215552947197720317859107443546774015718071659413033581018422002719545318957221363742858336567839420216601658162973337429733103304658603878894393896387785050951048294048174542899589582715862033153045541770914331727367222120043543336246382604083063616604246800984812676951682564378378624050051721909931004140480291929540947880576370973920127131376637023413588640627743229910677813044840432100303116541393021922400951279252891172061147068585577442911897730746544433953813012062487221137049141903507102397201115051014907205361349750532039753801999442824789415238208087613873203579390706906602622090856817523251029621210261252608183579649340488880914719218188594710210637397758233287555788054103208046551460027018638747261961846634449810420163997544072688614807981633957115551624069505482923264873148539544237478293130654285847064554443669865269854139272092961036070974398299946662723177734587203584892582243486733920690811285649372604157385330270350582547508252067395995816760123518084147514929862374698476703354486767801982449068012877136941610338043158574386340229994167385725497332746856439767317442621245414672950007397360252650074476899958829578956421603049686230184113997123430603657410883201903326705583751782079933189534128940798805204931165879147490177203500632550450611479524549782257749249291986679745516608038500377017999238299642709665122648153633875138962519191672781109875414330191953509382308002328547660386751732117706911341869690993475575477485452153286437824811812335859019080549904498244961594013783518339265071112227693649125125429198701433335391779105685428262460151862288421910424612889313338444657702558504309820574251190990682781337011128695365754425534618147212072954283889156774922956238443567579477169228089991735121053425539800761233442386554229471334967674634080369599233984095752400742481115374366026877834515287119394037282581201734430690504827887841776018204095440396164830091105836965394823119796465369266437250294529649013836482769583951123520169451957442252222309161225520969441158112673308896994371416948713061596958117713658306070155356708063252512763240327
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,400-digit prime (177 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 5 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053333000 --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":1100000009053333000},"decimal":true,"detail":2}}'