关于不定方程x^2+7=y^3

On the Indeterminate Equation x^2+ 7 = y^3

对于某些d,若Q(d)是Euclid域,则对应的Euclid整环中算术基本定理成立,利用此来证明不定方程x2+7=y3没有整数解.

For some d,if Q（ d） is Euclidean field,arithmetical fundamental theorem is carried out in the corresponding Euclid domain,which can be used to prove that this is no integer solution for the indeterminate equation x2＋ 7 = y3.