Consecutive Pairs of Quadratic Residues/Examples/7

Examples of Consecutive Pairs of Quadratic Residues
There is $1$ consecutive pair of quadratic residues modulo $7$.

This is consistent with the number of such consecutive pairs being $\floor {\dfrac 7 4}$.

Proof
From Quadratic Residues modulo $7$:


 * $\set {1, 2, 4}$ are the quadratic residues modulo $7$

The only pair of consecutive quadratic residues is therefore $\set {1, 2}$.

The result follows.