Consecutive Pairs of Quadratic Residues/Examples/5

Examples of Consecutive Pairs of Quadratic Residues
There is $1$ consecutive pair of quadratic residues modulo $5$.

This is consistent with the number of such consecutive pairs being $\floor {\dfrac 5 4}$.

Proof
From Quadratic Residues modulo $5$:


 * $4$ and $1$ are quadratic residue


 * $2$ and $3$ are not quadratic residues.

In this context $4$ and $1$ are considered a pair of consecutive quadratic residues.

The result follows.