5

Part of VMEO II 2005

Problems(1)

no of positive integers in form ap+bq with p+q<=2005

Source: 2005 VMEO II p5 Vietnamese Mathematics e - Olympiad https://artofproblemsolving.com/community/c2463154_2005_vmeo_ii

a,b

be positive integers . How many integers numbers can be written in the form

ap+bq

p,q

are nonnegative integers and

p+q\le{2005}