Several new relations for the n^th prime number

2011/08/10 by Boris B. Benyaminov, Benyaminov, Boris B.
Mathematics · #11A41 #11M26 #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A41 #msc:11M26

paper · pdf · doi:10.48550/arxiv.1108.2107

6 pages. Withdrawn by author due to a problem with a preceding paper on which the results here are based. Section three in particular is affected

openalex publication_date 2011/08/10 · arxiv created 2011/08/13 · arxiv updated 2011/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We arrive at some new relations for the prime number P_n, based on the logarithmic and absolute-value properties of the function π(x).

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