两个连续正整数平方和中的素数方幂

journal6 ›› 2000, Vol. 21 ›› Issue (1): 30-31.

两个连续正整数平方和中的素数方幂

(茂名教育学院数学系, 广东茂名 525000)

出版日期:2000-03-15 发布日期:2013-01-16
作者简介:李中( 1963~ ) ,男, 广东省茂名市人,茂名教育学院数学系讲师,主要从事数论研究.

The Prime Powers in Sums of Squares of Two Consecutive Positive Integers

( Department of MathematicsMaoming Educational College, Maoming 525000, Guangdong China)

Online:2000-03-15 Published:2013-01-16

摘要/Abstract

摘要：设x,n是正整数,p是素数,证明了当p>10⁹时, 如果 x²+(x+1)²= pⁿ,则必有n=1或2.

关键词： 连续正整数, 平方和, 素数方幂

Abstract: Let x,n be positive integers, and let p be a prime. In this paper we prove that if p>10⁹ and x²+(x+1)²= pⁿ, then either n= 1 or n= 2.

Key words: consecutive positive integers, sum of squares, prime power

李中. 两个连续正整数平方和中的素数方幂[J]. journal6, 2000, 21(1): 30-31.

LI Zhong. The Prime Powers in Sums of Squares of Two Consecutive Positive Integers[J]. journal6, 2000, 21(1): 30-31.

两个连续正整数平方和中的素数方幂

The Prime Powers in Sums of Squares of Two Consecutive Positive Integers

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