An Asymptotic Formula Involving Primes (Open)

Summary: Let $\pi(x)$ denote the counting function for primes. The problem calls for a proof of the asymptotic formula $\pi(N^{n+1}) \sim \sum_{n \le N} p^n$ ($N \rightarrow \infty$), with $n \ge 0$ fixed.

Classification: Primary, classical analysis; Secondary, asymptotic expansions

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Paul S. Bruckman
P. O. Box 150
Sointula, BC V0N 3E0
Canada
e-mail: [email protected]

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