Fruit丢番图方程
Fruit Diophantine Equation
摘要：
证明了由X^3+ XYZ = Y^2+Z^2+5给出的丢番图方程没有整数解.从而证明了由Weierstrass方程Y ^2-kXY = X ^3-（k ^2 +5）给出的椭圆曲线族没有整点.
英文摘要：
We show that the Diophantine equation given by X^3+ XYZ = Y^2+Z^2+5 has no integral solution. As a consequence, we show that the family of elliptic curve given by the Weierstrass equations Y^2-kXY = X^3 - (k^2+5) has no integral point.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
