A note on Terai's conjecture concerning Pythagorean numbers

被引：7

作者：

Chen, XG

Le, MH

机构：

[1] Department of Mathematics, Maoming Education College

[2] Department of Mathematics, Zhanjiang Teachers College

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 1998年 / 74卷 / 05期

关键词：

D O I：

10.3792/pjaa.74.80

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (a, b, c) be a primitive Pythagorean triple with 2 \ a. In this note we prove that if b not equal 1 (mod 16), b(2) + 1 = 2c, b and c are both odd primes, then the equation x(2) + b(v) = c(z) has only the positive integer solutions (x, y, z) = (a, 2, 2).

引用

页码：80 / 81

页数：2