丢番图方程x^3+27=67y^2整数解的研究

Research on the Integer Solutions of the Diophantine Equation x^3+27=67y^2

利用递归数列、同余式和平方剩余研究了丢番图方程x^3+27=67y^2的整数解,并求出了它的全部整数解为(x,y)=(-3,0),(1320,5859).

In this paper,the author has studied the integer solutions of the Diophantine equation x^3+27=67 y^2 and has only integer solutions(x,y)=(-3,0),(1320,5859).