Solutions of the Diophantine equation nx + (7p)y = z2
Sirawich Luengaksornwernsirawich9@gmail.comDivision of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat Yai, Songkhla, 90110, ThailandView full profile → , *Ronnason ChinramCorresponding authorronnason.c@psu.ac.thDivision of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat Yai, Songkhla, 90110, Thailand0000-0002-6113-3689View full profile →
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- Received:
- 05 Nov 2024
- Published Online:
- 27 Aug 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2228
- Pages:
- 2005–2010
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References
[1] M. Ahmadi and A. S. Janfada, “On quartic Diophantine equations with trivial solutions in the Gaussian integers,” International Electronic Journal of Algebra, vol. 31, pp. 134–142 (2022). doi: 10.24330/ieja.964819.
[2] A. S. Athab and H. R. Hashim, “On certain prime numbers in Lucas sequences,” Journal of Interdisciplinary Mathematics, vol. 26, no. 3, pp. 1181–1192 (2022). doi: 10.47974/JIM-1616.
[3] E. Catalan, “Note extraite d’une lettre adressée à l’éditeur,” Journal für die Reine und Angewandte Mathematik, vol. 27, p. 192 (1844). doi: 10.1515/crll.1844.27.192.
[4] S. Tadee, “On the Diophantine equation nx + (5p)y = z2,” Integers, vol. 24, Art. A68 (2024). doi: 10.5281/zenodo.12685786.
[5] P. Mihăilescu, “Primary cyclotomic units and a proof of Catalan’s conjecture,” Journal für die Reine und Angewandte Mathematik, vol. 572, pp. 167–195 (2004). doi: 10.1515/crll.2004.048.
