(B1) Find a natural number that is not the sum of four square numbers
This computation could be performed sequentially as
This computation appears never to stop. In fact the great French mathematician Joseph Lagrange proved that every number is the sum of four squares.
(B2) Find an odd number that is the sum of two even numbers
This computation, if performed, will never halt as even numbers (numbers that are a multiple of two) always sum to even numbers.