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 <i>n</i>, and the placement of lattice points on a hyperbola given by <inline-formula><math display="inline">...

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Bibliographic Details
Main Authors: Vicente Jara-Vera, Carmen Sánchez-Ávila
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/9/1414