A generalization of the question of Sierpiński on geometric progressions
J. Integer Seq. 13(3), Article ID 10.3.4, 14 p., electronic only (2010)
Summary
Summary: In this paper we prove that there is no geometric progression that contains four distinct integers of the form $Dm^{2} + C, D,$m $\in $ N, $C = \pm 1 \pm 2, \pm $ 4.
