On Two Diophantine Equations of Ramanujan-nagell Type

نویسندگان

  • Zhongfeng Zhang
  • Alain Togbé
  • Chao Ko
چکیده

In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nagell type. In fact, we show that the following equations x + (2 + 1)2 = 2 + 2 + 2 + 2 + 1, x + 1 3 ( 2 − 1 ) 2 = 1 9 ( 49 · 4 − 11 · 4 + 1 ) have exactly four solutions.

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تاریخ انتشار 2016