Here you are invited to discover:
Q1. A magic square composed
exclusively by distinct cubic prime numbers.
This puzzle is just is the open problem #6
of the article
“Some notes on the magic squares of squares problem”, by Christian
As a special
gift for the readers of my pages Christian Boyer has written a
page in his site that will save to me a lot of words in order
to explain all the theoretical elements involved in this puzzle
(Thanks so much CB!...).
The most important thing that I immediately rescue
from his page is that a solution for this puzzle has been shown to
be impossible for squares nxn of order n=3. So you should try for
has became a very skilled expert on the subject, on the same page
linked above adds: "I
think that 4x4 are also impossible with distinct positive integers".
A minor solution accepted is
Q2. A semi-magic square
composed exclusively by distinct cubic prime numbers (not
taking care of the diagonals)