5
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  151  131 359 131  151
    \   ^   ^   ^ /
  131 < 1   3   1 > 131
  353 < 3   5   3 > 353
  191 < 1   9   1 > 191
    /   V   V   V \  
  151  131 953 131  151

This 3x3 table have an interesting properties.
Every direction (up,down, Right, Left, 45°,135°,225°,315°) of 3 cell form prime numbers.
There are 6 unique prime numbers from this table, they are 131, 151, 191, 353, 359, 953.

Create a more interesting 3x3 table with the same rule, which there are 9 unique prime numbers from the table.

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  • 1
    $\begingroup$ ^vote with a note: Great variation on magic squares. Just a matter of time before someone looks at one or two OEIS pages. $\endgroup$ – humn Nov 2 '16 at 5:45
  • 1
    $\begingroup$ @humn : Every one can use those OEIS pages, then take 9 3-digit-numbers from those numbers to form the table. $\endgroup$ – Jamal Senjaya Nov 2 '16 at 5:57
2
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The solution -

  151  971 751 113  953
    \   ^   ^   ^ /
  311 < 1   1   3 > 113
  157 < 7   5   1 > 751
  179 < 9   7   1 > 971
    /   V   V   V \
  359  179 157 311  151

unique primes:

157 311 359 113 151 953 179 751 971

The 3 mirror equivalents (left/right, top/bottom, and corner/corner) also work.
Beyond these, there are no other solutions.

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