project_euler.problem_087.sol1
==============================

.. py:module:: project_euler.problem_087.sol1

.. autoapi-nested-parse::

   Project Euler Problem 87: https://projecteuler.net/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 + 24

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



Functions
---------

.. autoapisummary::

   project_euler.problem_087.sol1.solution


Module Contents
---------------

.. py:function:: solution(limit: int = 50000000) -> int

   Return the number of integers less than limit which can be expressed as the sum
   of a prime square, prime cube, and prime fourth power.
   >>> solution(50)
   4