The Divergence of the Sum of Prime Reciprocals-Reference-Cited by-同舟云学术

The Divergence of the Sum of Prime Reciprocals

Published:2022-10-01 Issue:3 Volume:30 Page:209-210
ISSN:1898-9934
Container-title:Formalized Mathematics
language:en
Short-container-title:

Author:

Carneiro Mario¹^ORCID

Affiliation:

1. Carnegie Mellon University , Pittsburgh PA , USA

Abstract

Summary This is Erdős’s proof of the divergence of the sum of prime reciprocals, using the Mizar system [2], [3], as reported in “Proofs from THE BOOK” [1].

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics

Link

https://www.sciendo.com/pdf/10.2478/forma-2022-0015

Reference5 articles.

1. [1] Martin Aigner and Günter M. Ziegler. Proofs from THE BOOK. Springer-Verlag, Berlin Heidelberg New York, 2004.10.1007/978-3-662-05412-3

2. [2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.

3. [3] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070

4. [4] Adam Grabowski. Sequences of prime reciprocals. Preliminaries. Formalized Mathematics, 26(1):69–79, 2018. doi:10.2478/forma-2018-0006.

5. [5] Christoph Schwarzweller. Renamings and a condition-free formalization of Kronecker’s construction. Formalized Mathematics, 28(2):129–135, 2020. doi:10.2478/forma-2020-0012.

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1. MMLKG: Knowledge Graph for Mathematical Definitions, Statements and Proofs;Scientific Data;2023-11-10