New Proof That the Sum of the Reciprocals of Primes Diverges
New Proof That the Sum of the Reciprocals of Primes Diverges
In this paper, we give a new proof of the divergence of the sum of the reciprocals of primes using the number of distinct prime divisors of positive integer n, and the placement of lattice points on a hyperbola given by n=pr with prime number p. We also offer both …