835 B
835 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3f51000cf542c50ff07 | Problem 136: Singleton difference | 5 | 301764 | problem-136-singleton-difference |
--description--
The positive integers, x, y, and z, are consecutive terms of an arithmetic progression. Given that n is a positive integer, the equation, x2 − y2 − z2 = n, has exactly one solution when n = 20:
132 − 102 − 72 = 20
In fact there are twenty-five values of n below one hundred for which the equation has a unique solution.
How many values of n less than fifty million have exactly one solution?
--hints--
euler136()
should return 2544559.
assert.strictEqual(euler136(), 2544559);
--seed--
--seed-contents--
function euler136() {
return true;
}
euler136();
--solutions--
// solution required