摘要
设q为无平方因子的正奇数,q的任意素因子q_i(i∈Z^+)都满足q_i≡5(mod 8),主要利用同余的性质、Legendre符号等证明了y^2=qx(x^2+32)无正整数点.
Let q be a positive odd number,which has no square factor,and prime factors qi(i∈Z+) satisfy qi≡5( mod 8).It was proved that y2= qx(x2+32) has no positive integer points by using some properties of congruence,Legendre symbol.
作者
赵建红
ZHAO Jianhong(Department of Mathematics and Computer Science, Lijiang teachers college, Lijiang 674199, China)
出处
《湖北民族学院学报(自然科学版)》
CAS
2017年第2期134-136,共3页
Journal of Hubei Minzu University(Natural Science Edition)
基金
云南省科技厅应用基础研究计划青年项目(2013FD061)