MyCave

Problem 9

Special Pythagorean triplet

A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

a2 + b2 = c2

For example, 32 + 42 = 9 + 16 = 25 = 52.

There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.


for(var one = 1; one <= 1000; one++ ){
for( var two = one+1; two <= 1000; two++ ){
for( var three = two+1; three <= 1000; three++){
if( oneone + twotwo === threethree && one + two + three === 1000) {
console.log("one", one, "two", two, "three", three);
console.log("product", onetwo*three);
}
}
}
}