Application of Set Intersecting Graph in Number Theory

In this paper, we offer evidence for a fascinating equation found in number theory, where the unanticipated usage of set intersection graphs demonstrates its practicality. Set intersection graphs are graphs formed from sets, with nodes representing sets and edges indicating a non-empty intersection between two sets. More specifically, we illustrate that the expression 3^n - 2^(n+1) + 1 is consistently an even number.