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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-304-primonacci.md

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+---
+id: 5900f49d1000cf542c50ffaf
+title: 'Problem 304: Primonacci'
+challengeType: 5
+forumTopicId: 301958
+dashedName: problem-304-primonacci
+---
+
+# --description--
+
+For any positive integer n the function next_prime(n) returns the smallest prime p such that p>n.
+
+The sequence a(n) is defined by: a(1)=next_prime(1014) and a(n)=next_prime(a(n-1)) for n>1.
+
+The fibonacci sequence f(n) is defined by: f(0)=0, f(1)=1 and f(n)=f(n-1)+f(n-2) for n>1.
+
+The sequence b(n) is defined as f(a(n)).
+
+Find ∑b(n) for 1≤n≤100 000. Give your answer mod 1234567891011.
+
+# --hints--
+
+`euler304()` should return 283988410192.
+
+```js
+assert.strictEqual(euler304(), 283988410192);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler304() {
+
+  return true;
+}
+
+euler304();
+```
+
+# --solutions--
+
+```js
+// solution required
+```