# Lucas' square pyramid problem revisited

@article{Bennett2002LucasSP,
title={Lucas' square pyramid problem revisited},
author={Michael A. Bennett},
journal={Acta Arithmetica},
year={2002},
volume={105},
pages={341-347}
}
• M. Bennett
• Published 2002
• Mathematics
• Acta Arithmetica
are given by (s, t) = (1, 1) and (24, 70). Putative solutions by Moret-Blanc  and Lucas  contain fatal flaws (see e.g.  for details) and it was not until 1918 that Watson  was able to completely solve equation (1.1). His proof depends upon properties of elliptic functions of modulus 1/ √ 2 and arguably lacks the simplicity one might desire. A second, more algebraic proof was found in 1952 by Ljunggren , though it also is somewhat on the complicated side. Attempts to repair… Expand
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