Long Period Prime/Examples/7

Theorem
$7$ is the smallest long period prime:
 * $\dfrac 1 7 = 0 \cdotp \dot 14285 \dot 7$


 * ReciprocalOf7Cycle.png

Proof
From Reciprocal of 7:
 * $\dfrac 1 7 = 0 \cdotp \dot 14285 \dot 7$

The reciprocals of $1$, $2$, $4$ and $5$ do not recur:

while those of $3$ and $6$ do recur, but with the non-maximum period of $1$: