I was just coming back to address Dej Mar.

1440!  And 61 solutions with primes in numerical order!! 
I thought I was limiting solutions as it was.  I mean, I had a list of about 600-700 individual summations that yielded primes only by row. 

I had been hoping to develop a listing to generate permuted values per column and test 5 rows at a time before generating the next five rows.  Thank you for your program listing, I intend to learn from it.

By the way, the only solution I have personally begins:
  4 16 18 ...

Posted by brianjn on 2012-04-04 09:02:24