A (doubly) elementary formula for prime numbers

Yannick Saouter 1, 2
1 Lab-STICC_TB_CACS_IAS
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : In this paper the author gives formulas for the prime counting function and for the n-th prime numbers. These formulas only use elementary functions. Moreover their proof requires only elementary facts of number theory, so that the title of the paper is justified.
Keywords : Prime numbers
Document type :
Journal articles
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https://hal.archives-ouvertes.fr/hal-01485418
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Submitted on : Wednesday, March 8, 2017 - 5:20:40 PM
Last modification on : Wednesday, March 6, 2019 - 3:10:57 PM

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Yannick Saouter. A (doubly) elementary formula for prime numbers. Mathematical Gazette, The Mathematical Association, 2017, 101 (550), pp.90 - 93. ⟨10.1017/mag.2017.10⟩. ⟨hal-01485418⟩

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