关于不定方程（an-1）（bn-1）= X2解的研究
On the Diophantine Equation（an-1）（bn-1）= X2
摘要: 2002年，F. Luca和P. G. Walsh研究了不定方程（a
n-1）（b
n-1）= X
2 在2≤b≤a≤100范围内的情况(除69种例外)。在本文中，我们研究了其中的两种例外。也就是，我们考虑的是不定方程（an-1）（bn-1）= X2 在（a,b）=（33，3）（33,9）时解的情况。
Abstract:
In 2002, F. Luca and P. G. Walsh studied the diophantine equations of the form（an-1）（bn-1）= X2 , for all in the range with sixty-nine exceptions. In this paper, we study two of the exceptions. In fact, we consider the equations of the form （an-1）（bn-1）= X2 , with （a,b）=（33，3）（33,9） .
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