Construction of Smith Number from Prime Repunit/Mistake

Source Work

 * The Dictionary
 * $4,937,775$
 * $4,937,775$

Mistake

 * Denote the number whose digits are $n$ units by $R_n$.
 * If $R_n$ is prime, then $3304 \times R_n$ is a Smith number.
 * $3304$ is not the only effective multiplier in this construction, merely the smallest.

Correction
Smaller such numbers have been discovered since, for example, $1540$.

Research is ongoing.

For the second edition of this book, removed this statement.