1.1 KiB
1.1 KiB
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
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