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id	title	challengeType	forumTopicId	dashedName
5900f3c51000cf542c50fed8	Problem 87: Prime power triples	5	302201	problem-87-prime-power-triples

--description--

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:

28 = 2² + 2³ + 2⁴
33 = 3² + 2³ + 2⁴
49 = 5² + 2³ + 2⁴
47 = 2² + 3³ + 2⁴

How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?

--hints--

primePowerTriples() should return a number.

assert(typeof primePowerTriples() === 'number');

primePowerTriples() should return 1097343.

assert.strictEqual(primePowerTriples(), 1097343);

--seed--

--seed-contents--

function primePowerTriples() {

  return true;
}

primePowerTriples();

--solutions--

// solution required

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