min of abc when a>b>b, primes, a=b+2c, a + b + c is perfect square
Source: INAMO Shortlist 2015 N1
May 14, 2019
number theoryPerfect Squaretripletsprimes
Problem Statement
A triple integer is called brilliant when it satisfies:
(i) are prime numbers
(ii)
(iii) is a perfect square number
Find the minimum value of if triple is brilliant.