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arXiv · 2106.01319

Legendre's conjecture. Theorem on existence of a prime number between $m^{2}$ and $(m+1)^{2}$

Ilshat Garipov
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Abstract

In scientific paper, we will show a proof of Legendre's conjecture based on a scheme for finding elements of "active" set ${\rm H}_{m^{4}}$ and "critical" element $C_{m^{4}}$ for number $m^{4}$ at each $m \ge 3$.

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Ilshat Garipov. 2021-05-29. Legendre's conjecture. Theorem on existence of a prime number between $m^{2}$ and $(m+1)^{2}$. https://arxiv.org/abs/2106.01319

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