English

Eulerian Composition of Certain Franklin Squares

Number Theory 2018-03-05 v2

Abstract

Several specific Franklin squares and magic squares are decomposed into their quotient and remainder squares. The results support the conjecture that Franklin used the Eulerian composition method to construct many of his squares. This method also can be used to construct new Franklin squares as illustrated herein.

Cite

@article{arxiv.1703.06488,
  title  = {Eulerian Composition of Certain Franklin Squares},
  author = {Ronald P. Nordgren},
  journal= {arXiv preprint arXiv:1703.06488},
  year   = {2018}
}

Comments

15 pages, 4 figures

R2 v1 2026-06-22T18:50:08.123Z