Is a^n– b^n+ c^n+ d^n odd, if a, b, c, d, and n are distinct positive

Is a^n b^n+ c^n+ d^n odd, if a, b, c, d, and n are distinct positive integers >1? 1. a, b, c and d are squares of consecutive prime numbers 2. a^4 divided by 200 has the quotient 1