Construction of Smith Number from Prime Repunit/Mistake

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Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$4,937,775$


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, David Wells removed this statement.


Sources