Long Period Prime/Examples/19

Theorem
The prime number $19$ is a long period prime:
 * $\dfrac 1 {19} = 0 \cdotp \dot 05263 \, 15789 \, 47368 \, 42 \dot 1$

Proof
From Reciprocal of $19$:


 * $\dfrac 1 {19} = 0 \cdotp \dot 05263 \, 15789 \, 47368 \, 42 \dot 1$

Counting the digits, it is seen that this has a period of recurrence of $18$.

Hence the result.