关于2个丢番图方程的求解

On the solutions of two Diophantine equation

用代数数论方法证明了丢番图方程x2-13=4y2仅有整数解(x,y)=(±3,1)以及丢番图方程x2+2=y1仅有整数解(x,y)=(±5,3).

Discussed two Diophantine equations with the algebraic number theory. The Diophantine equations x^2 -13 = 4y^3 has integer solutions （x, y）= （±3,- 1）and the Diophantine equations x^2 ＋2 = y^3 has integer solutions （x, y） = （±5, 3）.