There is a series 1/1+1/2+1/3+1/5+1/7+1/11+1/13+... In general, the series consists of one divided by a prime number. The question is whether it converges and to what number?

Question

Mathematics

There is a row 1+1/2+1/3+1/5+1/7+... All numbers in denominators are prime numbers. Does this series converge and to what number?

Answer 1

Goes to infinity.
Divergence of the sum of the reciprocals of the primes

Answer 2

Emnip is something like this: the
series 1/1+1/2+...1/n where n tends to infinity from zero to infinity. Since there are an infinite number of primes in an infinite series of integers, the series will also diverge and tend to infinity.

Answer 3

similar to the series
https://en.wikipedia.org/wiki/%D0%94%D0%B8%D1%85%D...