MathDB

1

Part of 2004 Mexico National Olympiad

Problems(1)

find primes p<q< r so that 25pq + r = 2004 and pqr + 1 is a perfect square

Source: Mexican Mathematical Olympiad 2004 OMM P1

7/31/2018
Find all the prime number p,qp, q and r with p<q<rp < q < r, such that 25pq+r=200425pq + r = 2004 and pqr+1pqr + 1 is a perfect square.
primesPerfect Squarenumber theory