If p and q are primes such that `p = q + 2,` prove that `p^p + q^q` is a multiple of `p+q.`

If p and q are primes, then H.C.F. (p, q) will be

Prove that q^^~p -=~ (q to p)

Prove that q^^~p -=~ (q to p)

Prove that q^^~p -=~ (q to p)

If p,q and r are prime numbers such that r=q+2 and q=p+2 , then the number of triples of the form (p,q,r) is

If p and q are two statements , prove that ~( p vee q) -= (~p) ^^ ( ~q )

if p: q :: r , prove that p : r = p^(2): q^(2) .

If p and q are distinct integers such that 2005 + p = q^2 and 2005 + q = p^2 then the product p.q is.

Prove that q to p -= ~p to ~q