On a sum involving the prime counting function $π(x)$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69373A sharp asymptotic formula for the sum of reciprocals of $π(n)$ is derived, where $π(x)$ is the number of primes not exceeding $x$. This result improves the previous results of De Koninck--Ivić and L. Panaitopol.4 pagesNumber Theory11M26; 11M06On a sum involving the prime counting function $π(x)$text