Studies of entropy measures concerning the gaps of prime numbers

2016/06/23 by Arturo Ortíz-Tapia, Arturo Ortiz Tapia, Tapia, Arturo Ortiz +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Dynamics and Fractals #math.GM

paper · pdf · doi:10.48550/arxiv.1606.08293

arXiv admin note: text overlap with arXiv:1406.7078 by other authors

arxiv created 2016/06/23 · openalex publication_date 2016/06/23 · arxiv updated 2016/06/28 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

The Shannon entropy is used as a basis for applying different lemmas and conjectures concerning the set of gaps between prime numbers G_p , thus estimating several measures of it. The same procedures are applied to artificially created number sets, to compare the size of their entropy against G_p .

Citations

• Close to Uniform Prime Number Generation With Fewer Random Bits

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