Arrange these nine numbers {1, 2, 3, 4, 5, 6, 7, 8, 9} into the following structure so that the resulting eight diagonal sums are all prime numbers.
The arrangement must result in eight prime numbers that are equal to justthree different values, X, Y and Z, as defined by the following equations.
A + F = X B + G = X C + H = X D + I = X
F + B = Y G + C = Y H + D = Y I + E = Z
Z < X < Y
Enter the correct 9-digit (ABC...I) arrangement into certitude to receive the final cache coordinates.
Congratulations to first finder lmt000.