Oliver Eyton-Williams 0bd52f8bd1

and change all the challenges to new `md` format.

2020-11-27 10:02:05 -08:00

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id, title, challengeType, forumTopicId

id	title	challengeType	forumTopicId
5900f3f91000cf542c50ff0b	Problem 141: Investigating progressive numbers, n, which are also square	5	301770

--description--

A positive integer, n, is divided by d and the quotient and remainder are q and r respectively. In addition d, q, and r are consecutive positive integer terms in a geometric sequence, but not necessarily in that order.

For example, 58 divided by 6 has quotient 9 and remainder 4. It can also be seen that 4, 6, 9 are consecutive terms in a geometric sequence (common ratio 3/2).

We will call such numbers, n, progressive.

Some progressive numbers, such as 9 and 10404 = 1022, happen to also be perfect squares. The sum of all progressive perfect squares below one hundred thousand is 124657.

Find the sum of all progressive perfect squares below one trillion (1012).

--hints--

euler141() should return 878454337159.

assert.strictEqual(euler141(), 878454337159);

--seed--

--seed-contents--

function euler141() {

  return true;
}

euler141();

--solutions--

// solution required

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