The cells of a 3 x 3 grid contain prime digits. When read by columns, rows and diagonals,
as well as in the reverse directions, they form 3-digit prime numbers, and the total of their respective digits is also prime ("magenta" and "salmon" coloured cells).
Find 3 different grid arrangements which are not mere transformations of each other (like mirrors or rotations). Note that some mirrors or rotations might not even work in this scheme, while others would.
Note:
1. There are at least two other arrangements where a non-prime digit may be used, and digit totals are not always prime.
2. This is a relatively easy exercise with just a calculator.
What is the next number in this sequence?
1) 11247
2) 7865
3) 97630
4) 41562
Hint: there are only five numbers in this sequence and the fifth number is five digits long