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id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4601000cf542c50ff73 | Problem 243: Resilience | 5 | 301890 | problem-243-resilience |
--description--
A positive fraction whose numerator is less than its denominator is called a proper fraction.
For any denominator, d, there will be d−1 proper fractions; for example, with d = 12:1/12 , 2/12 , 3/12 , 4/12 , 5/12 , 6/12 , 7/12 , 8/12 , 9/12 , 10/12 , 11/12 .
We shall call a fraction that cannot be cancelled down a resilient fraction. Furthermore we shall define the resilience of a denominator, R(d), to be the ratio of its proper fractions that are resilient; for example, R(12) = 4/11 . In fact, d = 12 is the smallest denominator having a resilience R(d) < 4/10 .
Find the smallest denominator d, having a resilience R(d) < 15499/94744 .
--hints--
euler243()
should return 892371480.
assert.strictEqual(euler243(), 892371480);
--seed--
--seed-contents--
function euler243() {
return true;
}
euler243();
--solutions--
// solution required