While learning about infinite sets in functional programming, I remembered a program I'd written some time ago. I was interested in finding an arithmetic function that naturally produced a sudoku pattern. I was reading about Roman irregation and came across something called the Latin Square. It was a four by four grid filled with four different symbols such that no row or column contained the same symbol twice. The formula that generated this pattern was MMOD(5,[0,1,2,3,4]), which is basically modular times tables. Unforunately, the sodoku pattern only is observed when 5 is the first argument. The program demonstrates the odd patterns found by extracting primes and hammings from MMOD(n,[0..n-1]).

Source is here --> http://1stclick.co.uk/PMMOD/PMMOD.c

Jason