Riddler Classic - 2/11/2022
From Dean Ballard comes a cubical conundrum:
Consider a cube, which has eight vertices, or corners. Suppose I assign a prime number to each vertex. A “face sum” is the value I get when I add up all four prime numbers on one of the six faces.
Can you find eight primes and arrange them on a cube so that the six face sums are all equal?
Extra credit: Can you find another set of eight primes that can similarly be arranged on the vertices of a cube? How many more can you find?