919 B
919 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4de1000cf542c50fff1 | Problem 370: Geometric triangles | 5 | 302032 | problem-370-geometric-triangles |
--description--
Let us define a geometric triangle as an integer sided triangle with sides a ≤ b ≤ c
so that its sides form a geometric progression, i.e. b^2 = a \times c
.
An example of such a geometric triangle is the triangle with sides a = 144
, b = 156
and c = 169
.
There are 861\\,805
geometric triangles with \text{perimeter} ≤ {10}^6
.
How many geometric triangles exist with \text{perimeter} ≤ 2.5 \times {10}^{13}
?
--hints--
geometricTriangles()
should return 41791929448408
.
assert.strictEqual(geometricTriangles(), 41791929448408);
--seed--
--seed-contents--
function geometricTriangles() {
return true;
}
geometricTriangles();
--solutions--
// solution required