Approximation of pn by Hn
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DownloadAlikhani, Akram and Hassani, Mehdi (2005) Approximation of pn by Hn. Research report collection, 8 (4).
Abstract
In this paper we introduce some bounds including Hn = ∑n k=1, (1/k), for pn, nth prime number. Then we observe that the Prime Number Theorem is equivalent with pn ~ nHn, when n tends to infinity.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18117 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | primes, harmonic series, ρ, η, |
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