1.0 KiB
1.0 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f4f21000cf542c510005 | 5 | Problem 390: Triangles with non rational sides and integral area | 302055 |
Description
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).
Instructions
Tests
tests:
- text: <code>euler390()</code> should return 2919133642971.
testString: assert.strictEqual(euler390(), 2919133642971);
Challenge Seed
function euler390() {
// Good luck!
return true;
}
euler390();
Solution
// solution required