--description--

Consider all lattice points ($a$, $b$, $c$) with $0 ≤ a, b, c ≤ N$.

From the origin $O(0, 0, 0)$ all lines are drawn to the other lattice points. Let $D(N)$ be the number of distinct such lines.

You are given that $D(1\,000\,000) = 831\,909\,254\,469\,114\,121$.

Find $D({10}^{10})$. Give as your answer the first nine digits followed by the last nine digits.

--hints--

distinctLines() should return 831907372805130000.

assert.strictEqual(distinctLines(), 831907372805130000);

--seed--

--seed-contents--

function distinctLines() {

  return true;
}

distinctLines();

--solutions--

// solution required