关于不定方程x^3-1=455y^2的解的讨论

On the Solution of the Diophantine Equation x^3-1=455y^2

利用同余、递归数列和Pell方程的性质,证明了不定方程x3-1=455y2仅有整数解(1,0),(16,±3).

This paper proves that the diophantine equation x^3-1=455y^2 has only integer solutions （ 1,0 ） and （ 16, ±3 ） with the help of the congruence method, the nature of recurrent sequences and Pell equation.