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1.0 KiB
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f4461000cf542c50ff59 | Problem 218: Perfect right-angled triangles | 5 | 301860 | problem-218-perfect-right-angled-triangles |
--description--
Consider the right angled triangle with sides a=7, b=24 and c=25.
The area of this triangle is 84, which is divisible by the perfect numbers 6 and 28.
Moreover it is a primitive right angled triangle as gcd(a,b)=1 and gcd(b,c)=1.
Also c is a perfect square.
We will call a right angled triangle perfect if -it is a primitive right angled triangle -its hypotenuse is a perfect square
We will call a right angled triangle super-perfect if -it is a perfect right angled triangle and -its area is a multiple of the perfect numbers 6 and 28.
How many perfect right-angled triangles with c≤1016 exist that are not super-perfect?
--hints--
euler218() should return 0.
assert.strictEqual(euler218(), 0);
--seed--
--seed-contents--
function euler218() {
return true;
}
euler218();
--solutions--
// solution required