Abstract
Let , , be pairwise relatively prime positive integers such that with positive integer. Then we show that the equation has the positive integer solution only under some conditions. The proof is based on elementary methods and Zsigmondy’s theorem.
Acknowledgments
The authors would like to thank the referee for his valuable suggestions. The first author is supported by JSPS KAKENHI Grant Number 18K03247.
Citation
Nobuhiro Terai. Saya Nakashiki. Yudai Suenaga. "On the generalized Ramanujan-Nagell equation with ." SUT J. Math. 58 (1) 77 - 89, June 2022. https://doi.org/10.55937/sut/1654320039
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