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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, x^2 − y^2 − z^2 = n, has exactly one solution when n = 20:

13^2 − 10^2 − 7^2 = 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--

singletonDifference() should return 2544559.

assert.strictEqual(singletonDifference(), 2544559);

--seed--

--seed-contents--

function singletonDifference() {

  return true;
}

singletonDifference();

--solutions--

// solution required

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