801 B
801 B
id, title, challengeType, forumTopicId, dashedName
| 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);
--seed--
--seed-contents--
function modularCubesTwo() {
return true;
}
modularCubesTwo();
--solutions--
// solution required