Legendre's conjecture. Theorem on existence of a prime number between m² and (m+1)²

2021/05/29 by Ilshat Garipov, Garipov, Ilshat
Mathematics · #11A05 #11A41 #11A51 #11B99 #11C20 #11N05 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:11A05 #msc:11A41 #msc:11A51 #msc:11B99 #msc:11C20 #msc:11N05

paper · pdf · doi:10.48550/arxiv.2106.01319

8 pages

arxiv created 2021/05/29 · arxiv updated 2021/06/03

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_m⁴ and "critical" element C_m⁴ for number m⁴ at each m ≥ 3.

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