PRIME NUMBERS (java)

boolean prime (int n): it returns true if n is prime

boolean twin-prime(int n): it returns true if n > 3 is prime and either n-2 or n+2 is also prime. Examples of twin primes: 5,7 ; 11,13; 17,19; 29,31

boolean m-prime(int n): it returns true if n is prime and it is of type 2(^m)-1. Examples of m (Mersennes) primes: 3, 7, 31, 127

Test your methods within a class and check that they work properly. Use the method prime(int n) in the implementation of the other 2 methods.