Pépin's Test/Mistake

Source Work

 * The Dictionary
 * $257$
 * $257$

Mistake

 * Such tests are easily performed today on computers using this criterion, which is similar to Lucas's test for the primality of Mersenne numbers: $F_n$ is prime it divides $3^{1/x \paren {F_n - 1} } + 1$.

Correction
That last expression should read $3^{\frac 1 2 \paren {F_n - 1} } + 1$, or more neatly: $3^{\paren {F_n - 1} / 2} + 1$.

This misprint was not present in the $1986$ edition of.