Determine the integer(s) n for which [n²/3] is a prime.

Note: [x] is the greatest integer ≤ x (floor function).

(In reply to

I got it, i got it by JLo)

True.

However, since n must be an integer( whether positive or negative) n= -3, for the case n=3a, and n=-4 corresponding to the case n= 3a+2 are also valid.

Thus, n= +/-3 and n= +/-4 gives all possible solutions to the given problem.

*Edited on ***December 9, 2006, 12:33 pm**