Prime Power Triples
May 22, 2020
Today’s exercise is Project Euler Problem 87:
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 + 24How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?
Your task is to solve Project Euler 87; in the spirit of Project Euler, show only your code but not the solution. When you are finished, you are welcome to read
or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.
Programming Praxis 