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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-273-sum-of-squares.md

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+---
+id: 5900f47e1000cf542c50ff90
+title: 'Problem 273: Sum of Squares'
+challengeType: 5
+forumTopicId: 301923
+dashedName: problem-273-sum-of-squares
+---
+
+# --description--
+
+Consider equations of the form: a2 + b2 = N, 0 ≤ a ≤ b, a, b and N integer.
+
+For N=65 there are two solutions: a=1, b=8 and a=4, b=7. We call S(N) the sum of the values of a of all solutions of a2 + b2 = N, 0 ≤ a ≤ b, a, b and N integer. Thus S(65) = 1 + 4 = 5. Find ∑S(N), for all squarefree N only divisible by primes of the form 4k+1 with 4k+1 < 150.
+
+# --hints--
+
+`euler273()` should return 2032447591196869000.
+
+```js
+assert.strictEqual(euler273(), 2032447591196869000);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler273() {
+
+  return true;
+}
+
+euler273();
+```
+
+# --solutions--
+
+```js
+// solution required
+```