Prime to Own Power minus 1 over Prime minus 1 being Prime/Mistake/Guy/Second Edition

Source Work

 * $\mathbf B$: Divisibility
 * $\mathbf {B 37}$: Does $\map \phi n$ properly divide $n - 1$?
 * $\mathbf {B 37}$: Does $\map \phi n$ properly divide $n - 1$?

Mistake

 * Wagstaff observes that the only primes $< 180$ for which $\paren {p^p - 1} {p - 1}$ is prime are $2$, $3$, $7$, $19$ and $31$; ...

Correction
Untrue:


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

This has been corrected in the $3$rd edition.