Journal of Integer Sequences, Vol. 13 (2010), Article 10.3.4

A Generalization of the Question of Sierpiński on Geometric Progressions


Jiagui Luo
College of Mathematics and Information Science
Zhaoqing University
Zhaoqing 526061
P. R. China

Pingzhi Yuan
School of Mathematics
South China Normal University
Guangzhou 510631
P. R. China

Abstract:

In this paper we prove that there is no geometric progression that contains four distinct integers of the form Dm2 + C,   D,m ∈ N, C = ± 1 ± 2, ± 4.

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Received October 11 2009; revised versions received February 25 2010. Published in Journal of Integer Sequences, February 26 2010.

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