id	title	challengeType	forumTopicId	dashedName
5900f47d1000cf542c50ff8f	Problem 272: Modular Cubes, part 2	5	301922	problem-272-modular-cubes-part-2

--description--

For a positive number n, define C(n) as the number of the integers x, for which 1 < x < n and x^3 \equiv 1\bmod n.

When n = 91, there are 8 possible values for x, namely: 9, 16, 22, 29, 53, 74, 79, 81. Thus, C(91) = 8.

Find the sum of the positive numbers n ≤ {10}^{11} for which C(n)=242.

--hints--

modularCubesTwo() should return 8495585919506151000.

assert.strictEqual(modularCubesTwo(), 8495585919506151000);

function modularCubesTwo() {

  return true;
}

modularCubesTwo();

// solution required