椭圆曲线y^(2)=29nx(x^(2)+8)的正整数点

Integer Points of Elliptic Curves y^(2)=29nx(x^(2)+8)

设n≡5(mod8)为奇素数,利用Legendre符号的性质、同余的性质以及奇偶数的性质证明了椭圆曲线y^(2)=29nx(x^(2)+8)至多有1个正整数点。

Let n be an odd prime number and n≡5(mod8).The positive integral points on elliptic curves in the title remains unresolved.The elliptic curves in title at most have one positive integer point was proved with the help of some properties of Legendre symbol,congruence,odd number and even number.