In this paper we will explore the solutions to the diophantine equation in
the Erd\H{o}s-Straus conjecture. For
we are discussing the
relationship between the values
so that
We will separate the types of solutions into two cases. In particular we will
argue that the most common relationship found for a
... [Show full abstract] prime p is
Finally, we will make a few conjectures to motivate further research in this
area.