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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-245-coresilience.md

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+---
+id: 5900f4621000cf542c50ff74
+title: 'Problem 245: Coresilience'
+challengeType: 5
+forumTopicId: 301892
+dashedName: problem-245-coresilience
+---
+
+# --description--
+
+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.
+
+The resilience of a number d > 1 is then φ(d)d − 1 , where φ is Euler's totient function. We further define the coresilience of a number n > 1 as C(n)= n − φ(n)n − 1. The coresilience of a prime p is C(p) = 1p − 1. Find the sum of all composite integers 1 < n ≤ 2×1011, for which C(n) is a unit fraction.
+
+# --hints--
+
+`euler245()` should return 288084712410001.
+
+```js
+assert.strictEqual(euler245(), 288084712410001);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler245() {
+
+  return true;
+}
+
+euler245();
+```
+
+# --solutions--
+
+```js
+// solution required
+```