I have constructed a very unique magic square and named it “MILLENIUM MAGIC SQUARE” and published it in my original puzzle book “COMPUTATIONAL PUZZLES TO FLEX YOUR BRAIN”.
What’s so special about it?
Very seldom indeed do four primes appear in a decade (a period of ten), here is a complete list of such cases up to 1000 (a period of thousand – millennium):
2, 3, 5, 7
11, 13, 17, 19
101, 103, 107, 109
191, 193, 197, 199
821, 823, 827, 829
I constructed a magic square from these primes and hence, named MILLENIUM MAGIC SQUARE”. Another interesting thing is that it isn’t just a regular magic square, but it shares few similarities with the most-perfect magic square. Such as the most-perfect magic square formed with adjacent integers. Here, it is constructed with adjacent primes appearing four times in a decade. However, here, not every but many four adjacent integers form a 2×2 subsquare sum to equal like the most-perfect magic square. (FYI : The entrance of Parshvanath temple, Khajuraho, India has an inscription with a magic square. This is one of the oldest known 4×4 magic squares, as well as one of the oldest known most-perfect magic squares.)
The magic square constructed from these primes is shown in below image(s).
