Show that any prime number can be expressed in the form of `6kpm 1` (`k in N`) for number greater than 3.

Prove that an integer which can be expressed in the form of 6k+5 can be also expressed in the form of 3k-1.

If 1<=k<=25, how many prime numbers are there which are of the form 6k+1?

Show that there are an infinite number of primes of the form 4k + 1 and of the form 4k+ 3.

When a die is thrown, list the outcomes of an event of getting. a prime number, not a prime number, a number greater than 5, a number not greater than 5

The smallest prime number greater than 48 is

What is the product of the greatest prime number that is less than 50 and the smallest prime number that is greater than 50?

Find the remainder when the square of any prime number greater than 3 is divided by 6.

A die is thrown once. Find the probability of getting (A) a prime number greater than 3 (B) an even prime number greater than 3.