853 B
853 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4f21000cf542c510005 | Problem 390: Triangles with non rational sides and integral area | 5 | 302055 | problem-390-triangles-with-non-rational-sides-and-integral-area |
--description--
Consider the triangle with sides √5, √65 and √68.
It can be shown that this triangle has area 9.
S(n) is the sum of the areas of all triangles with sides √(1+b2), √(1+c2) and √(b2+c2) (for positive integers b and c ) that have an integral area not exceeding n.
The example triangle has b=2 and c=8.
S(106)=18018206.
Find S(1010).
--hints--
euler390()
should return 2919133642971.
assert.strictEqual(euler390(), 2919133642971);
--seed--
--seed-contents--
function euler390() {
return true;
}
euler390();
--solutions--
// solution required