**Problem 9**

A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
a^2 + b^2 = c^2
For example, 3^2 + 4^2 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.

**Script**

Execution Time: 17.3896 seconds

$addTotal = 1000; for ($x=1; $x<$addTotal; $x++) { for ($y=$x+1; $y<$addTotal; $y++) { for ($z=$y+1; $z<=$addTotal; $z++) { if (($x+$y+$z == $addTotal) && (($x*$x)+($y*$y) == ($z*$z))) { echo ($x*$y*$z).PHP_EOL; break 3; } } } }