On the largest value of the solutions of Erdős’ last equation
Let n be a positive integer. The Diophantine equation [Formula: see text] is called Erdős’ last equation. We prove that [Formula: see text] as [Formula: see text] and determine all tuples [Formula: see text] with [Formula: see text].
Authors
- Florian Luca (ORCID: https://orcid.org/0000-0003-1321-4422)
- István Pink (ORCID: https://orcid.org/0000-0003-2098-1830)
- Csaba Sándor (ORCID: https://orcid.org/0000-0003-3449-8241)
Institutions
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- University of Debrecen (HU)
- University of Salzburg (AT)
- Stellenbosch University (ZA)
- Budapest University of Technology and Economics (HU)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-01-22
- DOI
- https://doi.org/10.1142/s1793042125500666
- Citations
- 1
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 5.38