54 lines
1.1 KiB
Markdown
54 lines
1.1 KiB
Markdown
---
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id: 5900f3c51000cf542c50fed8
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title: 'Problem 87: Prime power triples'
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challengeType: 5
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forumTopicId: 302201
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dashedName: problem-87-prime-power-triples
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---
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# --description--
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The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28. In fact, there are exactly four numbers below fifty that can be expressed in such a way:
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<div style='margin-left: 4em;'>
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28 = 2<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
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33 = 3<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
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49 = 5<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
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47 = 2<sup>2</sup> + 3<sup>3</sup> + 2<sup>4</sup>
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</div>
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How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?
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# --hints--
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`primePowerTriples()` should return a number.
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```js
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assert(typeof primePowerTriples() === 'number');
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```
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`primePowerTriples()` should return 1097343.
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```js
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assert.strictEqual(primePowerTriples(), 1097343);
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```
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# --seed--
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## --seed-contents--
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```js
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function primePowerTriples() {
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return true;
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}
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primePowerTriples();
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```
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# --solutions--
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```js
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// solution required
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```
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