TY - JOUR AU - Hamtat, Abdelkader AU - Behloul, Djilali PY - 2017/07/01 Y2 - 2024/03/29 TI - On the Diophantine Equation X2 + 13K = YN JF - The Journal of the Indian Mathematical Society JA - JIMS VL - 84 IS - 3-4 SE - Articles DO - 10.18311/jims/2017/15570 UR - https://informaticsjournals.com/index.php/jims/article/view/15570 SP - 191-200 AB - The object of this paper is to find all solutions of the dio-phantine equation x<sup>2</sup> + 13<sup>k</sup> = y<sup>n</sup>, in positive integers x, y with n ≥ 3. ER -