MathDB
Miklós Schweitzer 1959- Problem 1

Source:

October 30, 2015
number theoryprime numberscollege contestsreal analysis

Problem Statement

1. Let pnp_n be the nnth prime number. Prove that
∑n=2∞1npn−(n−1)pn−1=∞\sum_{n=2}^{\infty} \frac{1}{np_n-(n-1)p_{n-1}}= \infty
(N.17)
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