Prime to Own Power minus 1 over Prime minus 1 being Prime/Mistake/Wells

Source Work

 * The Dictionary
 * $19$
 * $19$

Mistake

 * $\paren {19^{19} - 1} / \paren {19 - 1}$ is prime. Other primes with this property are $2$, $3$, $7$ and $31$.

Untrue:


 * $\dfrac {7^7 - 1} {7 - 1} = 137257 = 29 \times 4733$

This mistake was inherited from : $\mathbf A 3$.