MathDB

8

Part of 2009 Hanoi Open Mathematics Competitions

Problems(1)

diophantine ab+1/2a+1/3b <1004/3 (HOMC 2009 J Q8)

Source:

7/25/2019
Find all the pairs of the positive integers such that the product of the numbers of any pair plus the half of one of the numbers plus one third of the other number is three times less than 10041004.
number theorydiophantine