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A Remark on the Mandl's Inequality

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arxiv math/0606765 v3 pith:HTYAGQTJ submitted 2006-06-29 math.NT math.CA

Mehdi Hassani This is my paper · ORCID
classification math.NTmath.CA
keywords inequalitymandlboundsrefinesomeagm-inequalityconsiderfind
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abstract

In this note, first we refine Mandl's inequality. Then, we consider the product $p_1p_2... p_n$ and we refine some known lower bounds for it, and we find some upper bounds for it by using Mandl's inequality and its refinement and the AGM-Inequality.

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  1. On the arithmetic average of the first $n$ primes

    math.NT 2025-05 conditional novelty 5.0 of 10

    For the averaged-prime sequence, analogues of the Cramer, Andrica, Legendre, Oppermann, Brocard, Firoozbakht, Fourges, Nicholson, and Farhadian conjectures are proved from known explicit estimates.

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