# Problem 87: Prime power triples
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?