The Solution of Diophantine Equation (x + i)￣n = (x + h + 1)￣n for 100 < n ≤200

Journal of Chongqing Jiaotong University(Natural Science) ›› 1996, Vol. 15 ›› Issue (2): 118-122.

The Solution of Diophantine Equation (x + i)￣n = (x + h + 1)￣n for 100 < n ≤200

Wang Bin,Zou Zhaonan

Department of Basic Courses

Received:1995-05-14 Revised:1995-07-20 Online:1996-06-20 Published:2016-07-12

不定方程(x+i)n＝(x+h+1)n的解的最新结果

王斌，邹兆南

重庆交通学院基础科学系

作者简介:王斌，男，33岁，讲师

Abstract

Abstract: This paper proves the diophantine equation: xｎ+(x+1)n+…+(x+h)n=(x+h+1)n there are not any positive integer solutions for 100

Key words: sieve method, congruence equation, prime number modul

摘要： 本文证明了不定方程 xｎ+(x+1)n+…+(x+h)n=(x+h+1)n ，当100

关键词: 筛法, 同余方程, 素数模

CLC Number:

O122.2

Wang Bin,Zou Zhaonan. The Solution of Diophantine Equation (x + i)￣n = (x + h + 1)￣n for 100 < n ≤200[J]. Journal of Chongqing Jiaotong University(Natural Science), 1996, 15(2): 118-122.

王斌，邹兆南. 不定方程(x+i)n＝(x+h+1)n的解的最新结果[J]. 重庆交通大学学报（自然科学版）, 1996, 15(2): 118-122.

[1]	ZOU Zhao-nan. Positive Integral Solutions of Diophantine Equation of Continuous Positive Integers [J]. Journal of Chongqing Jiaotong University(Natural Science), 2008, 27(6): 1168-1172.
[2]	ZOU Zhao-nan. The Integral Solutions of Congruence Equation of Prime Module 19 [J]. Journal of Chongqing Jiaotong University(Natural Science), 2008, 27(3): 491-492.
[3]	Zou Zhaonan, Chen Julin. The Solutions of Diophantine Congruence Equation x²ⁿ+(x+1)²ⁿ+…+(x+h)²ⁿ≡(x+h+1)²ⁿ(mod 17) (I) [J]. Journal of Chongqing Jiaotong University(Natural Science), 1993, 12(4): 109-116.
[4]	Zou Zhaonan. On the Solutions of Congruence Equations with Even Number Degree for Prime Number Modulo p=7 [J]. Journal of Chongqing Jiaotong University(Natural Science), 1992, 11(1): 45-52.
[5]	Zou Zhaonan. On the Solutions of Congruence Equations with Even Number Degree for Prime Number Module P=3,5 [J]. Journal of Chongqing Jiaotong University(Natural Science), 1991, 10(4): 20-26.

The Solution of Diophantine Equation (x + i)￣n = (x + h + 1)￣n for 100 < n ≤200

不定方程(x+i)n＝(x+h+1)n的解的最新结果

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 5

Recommended Articles

Metrics