783 B
783 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4551000cf542c50ff68 | Problem 233: Lattice points on a circle | 5 | 301877 | problem-233-lattice-points-on-a-circle |
--description--
Let f(N)
be the number of points with integer coordinates that are on a circle passing through (0,0)
, (N,0)
,(0,N)
, and (N,N)
.
It can be shown that f(10000) = 36
.
What is the sum of all positive integers N ≤ {10}^{11}
such that f(N) = 420
?
--hints--
latticePointsOnACircle()
should return 271204031455541300
.
assert.strictEqual(latticePointsOnACircle(), 271204031455541300);
--seed--
--seed-contents--
function latticePointsOnACircle() {
return true;
}
latticePointsOnACircle();
--solutions--
// solution required