关于不定方程x^3+27=26y^2

On the Diophantine Equation x^3+27=26y^2

利用递归数列、同余式和平方剩余证明了不定方程x3+27=26y2仅有整数解(-3,0),(-1,±1),(719,±3781).

In this paper the author has proved that the Diophantine equation x^3＋27=26y^2 has only integer solutions （-3,0）, （-1,±1）, （719, ±3781）with the methods of recurrent sequence, congruence and quadratic residue.