let Pn denote the nth prime (P1=2, P2=3, etc) If Re(s) > 1, show that ∑(from n=1 to infinite) 1/n^s = Π(from n=1 to infinite) 1/(1-Pn^-s).

I was thinking to expand each factor z/(1-Pn^-s) in a geometric series and use unique factorization of integers into a product of primes but i was not sure...

plz help me!!