Report on Zhi-Wei Sun's 1-3-5 conjecture and some of its refinements

• Type: Article in International Scientific Journal
• Date: 2021

Authors

António Machiavelo (Author) FCUP; Rogério Reis (Author) FCUP; Tsopanidis, N (Author) Other

Journal

Title: Journal of Number Theory

Vol. 222

Pages: 21-29

ISSN: 0022-314X

Publisher: Elsevier

Indexing

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Other information

Authenticus ID: P-00T-BWP

DOI: 10.1016/j.jnt.2021.01.001

Abstract (EN): We report here on the computational verification of Zhi-Wei Sun's "1-3-5 conjecture" for all natural numbers up to 105 103 560 126. This, together with a result of two of the authors, completes the proof of that conjecture. Furthermore, the computations made in the verification process of the 1-3-5 conjecture revealed a refinement, which we state as a separate conjecture at the end of the paper.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9