Write a Fortran LOGICAL FUNCTION, called "is_prime", which determines if a given integer value is a prime number or not (A prime number is a natural number which has only two distinct natural number divisors: 1 and itself, such as 23,31). Note that 1 is not a prime number.
Write a main program that reads an integer number, n, from keyboard and writes (using format descriptor "I") all prime numbers between 1 and n to the screen as well as to an output file named "primes.dat", using is_prime function. This program must also determine the total number of prime numbers between 1 and n. Test/run your program and answer the following questions:
a- Find and print out all prime numbers between 1 and 200 (include print out in your report).
b- How many prime numbers exist between 100 and 10000?