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arXiv · 1504.07939

Hardy-Littlewood inequality for primes

V. V. Miasoyedov
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Abstract

In the article we establish the Hardy-Littlewood inequality $ π(x + y) \leq π(x) + π(y) $. We also prove that the naturally ordered primes $p_1=2,p_2=3,p_3=5,p_4=7,\dots$ satisfy the inequality $ p_ {a + b}> p_a + p_b $ for all $a, \ b \geq 2$.

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BibTeXRIS

V. V. Miasoyedov. 2017-01-13. Hardy-Littlewood inequality for primes. https://arxiv.org/abs/1504.07939

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