905 B

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id	title	challengeType	forumTopicId	dashedName
5900f3f31000cf542c50ff06	Problem 135: Same differences	5	301763	problem-135-same-differences

--description--

Given the positive integers, x, y, and z, are consecutive terms of an arithmetic progression, the least value of the positive integer, n, for which the equation, x^2 − y^2 − z^2 = n, has exactly two solutions is n = 27:

34^2 − 27^2 − 20^2 = 12^2 − 9^2 − 6^2 = 27

It turns out that n = 1155 is the least value which has exactly ten solutions.

How many values of n less than one million have exactly ten distinct solutions?

--hints--

sameDifferences() should return 4989.

assert.strictEqual(sameDifferences(), 4989);

--seed--

--seed-contents--

function sameDifferences() {

  return true;
}

sameDifferences();

--solutions--

// solution required

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