Let p be a prime number such that `3 lt p lt 50`. then `p^2-1` is

Let p be prime number such that 3 < p < 50 , then p^2 - 1 is :

Let p be a prime number such that p>=3. Let n=p!+1. The number of primes in the list n+1,n+2,n+3,......n+p-1 is

p, q and r are prime numbers such that p lt q lt r lt 13 . In how many cases would (p + q + r) also be a prime number?

Theorem 1.3 : Let p be a prime number. If p divides a^2 , then p divides a, where a is a positive integer.

Theorem 1.3 : Let p be a prime number. If p divides a2 , then p divides a, where a is a positive integer.

If P and Q are two relatively prime number such that p+q =0 and p lt q . How fair are possible for (p,q)

If p & q are relatively prime number in such a way p + q = 10 & p lt q . How many pair are possible of p,q.

Find the number of distinct rational numbers x such that 0 lt x lt1 and x=p//q , where p ,q in {1,2,3,4,5,6} .

Let P be the set of prime numbers and let S={t|2^(t)-1 is a prime }. Prove that S sub P.