PROGRAM : MERSENNE NUMBER A number is said to be mersenne number if it is one less than a power of 2. Example- 7 is a mersenne number as it is 2^3-1.Similarly 1023 is a mersenne number as it is 2^10-1. SYNTAX import java.io.*; class mersenne { public static void main(String args[])throws IOException { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); int n,m; boolean flag=false; System.out.println("Enter a number to check mersenne number"); n=Integer.parseInt(br.readLine()); m=n+1; for(int i=0;i<=n;i++) { if((Math.pow(2,i)==m)) { ...