Prove that if c is odd, then .
I know I'm supposed to use the theorem that states , where p is an odd prime. But I'm not confident that stating that c is simply an odd prime is enough to satisfy this.
What is the symbol? The Jacobi symbol? Because the Legendre symbol is defined only for primes. If it's the Jacobi symbol, then it's true and you can prove it using the definition of the Jacobi symbol and the corresponding property of the Legendre symbol.