中南民族大学学报:自然科学版2011,Vol.30Issue(3):103-104,110,3.
关于不定方程x3-8=3py2
On the Diophantine Equation x~3-8=3py~2
余启港 1王顺金 1于新月 1张梅娜1
作者信息
- 1. 中南民族大学数学与统计学学院,武汉430074
- 折叠
摘要
Abstract
In this paper,we prove that the diophantine equation x3-8=3py2(for p=5,13,29,37,53,61)has not integer solution when x is an odd number,with the help of the congruence method and the properties of recurrent sequences and Pell equation.关键词
不定方程/整数解/递归数列Key words
diophantine equation/integer solution/recurrent sequence分类
数理科学引用本文复制引用
余启港,王顺金,于新月,张梅娜..关于不定方程x3-8=3py2[J].中南民族大学学报:自然科学版,2011,30(3):103-104,110,3.