Identify the correct statement
(1) If a, b, c are odd itergers a + b + c connot be zero
(2) If a, b, c are odd intergers `a^(2)+b^(2)-c^(2) ne 0`
(3) If `a^(2)+b^(2)=c^(2),` then at least one of a,b,c is even, given that a,b,c are integers
(4) If `a^(2)+b^(2)=c^(2)` where a,b,c ae integers then `cgta+b`