915 B
915 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f5111000cf542c510023 | Problem 420: 2x2 positive integer matrix | 5 | 302090 | problem-420-2x2-positive-integer-matrix |
--description--
A positive integer matrix is a matrix whose elements are all positive integers.
Some positive integer matrices can be expressed as a square of a positive integer matrix in two different ways. Here is an example:
We define F(N) as the number of the 2x2 positive integer matrices which have a trace less than N and which can be expressed as a square of a positive integer matrix in two different ways. We can verify that F(50) = 7 and F(1000) = 1019.
Find F(107).
--hints--
euler420()
should return 145159332.
assert.strictEqual(euler420(), 145159332);
--seed--
--seed-contents--
function euler420() {
return true;
}
euler420();
--solutions--
// solution required