List all the positive integers which are equal to the sum of the digits of their respective cubes.
How many of them are prime?
(In reply to
Amazing post by Percy Rempel)
Interesting problem! My initial thought is to bound the search space since the cube grows quickly. Has anyone checked if there's a pattern in how the digit sums behave? It reminds me of the chaotic element combinations in Infinite Craft, where you never know what new, unexpected element you'll discover. We could even model this number problem within the game using different elements to represent digits and sums. I suspect the answer will be surprisingly small.