667 B
667 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f51e1000cf542c510030 | Problem 432: Totient sum | 5 | 302103 | problem-432-totient-sum |
--description--
Let S(n, m) = \sum φ(n × i)
for 1 ≤ i ≤ m
. (φ
is Euler's totient function)
You are given that S(510\\,510, {10}^6) = 45\\,480\\,596\\,821\\,125\\,120
.
Find S(510\\,510, {10}^{11})
. Give the last 9 digits of your answer.
--hints--
totientSum()
should return 754862080
.
assert.strictEqual(totientSum(), 754862080);
--seed--
--seed-contents--
function totientSum() {
return true;
}
totientSum();
--solutions--
// solution required