(In reply to re: Solution
I think it should be pointed out that half the square root of 2^3 * 3 * 17^2 * 59^2 is over 2006, and therefore, in order for the left side of your factored equation to have two negative factors, at least one of x and y would have to be negative. Otherwise it would be conceivable to have positive x and y accounting for two negative factors of the same absolute value as other solutions, as you have to add 4012 to one factor and 6018 to the other to get x and y, bringing the total number over 72.
Actually, come to think about it, since 6018 (=3*2006) is added to one of the factors to get y, half the square root is too lenient a test, that having been based on 2*2006.
Edited on September 30, 2006, 2:07 pm
Posted by Charlie
on 2006-09-30 13:49:50