Sequence of Prime Primorial minus 1/Mistake

Source Work

The Dictionary

$29$

The Dictionary

$29$

Primorial $(n) - 1$ is prime for $3$, $5$, $11$, $13$, $41$, $89$, $317$, $991$, $1873$, $2053$, and no other values below $2377$.

$337$ was omitted from the above list.

However, it needs to be pointed out that the source work that this result was quoted from (the article in Mathematics of Computation by J.P. Buhler, R.E. Crandall and M.A. Penk, was the source of this inaccuracy:

The number $N = p \# - 1$ is prime for:

$3$, $5$, $11$, $13$, $41$, $89$, $317$, $991$, $1873$, $2053$

and is composite for all other $p < 2377$. The number $2377\# - 1$ is a pseudoprime whose primality has not been verified.

Under the entry for $15,877$ in Curious and Interesting Numbers, 2nd ed., interestingly, David Wells does include $337$, but this time somehow manages to omit $13$.

Apr. 1982: J.P. Buhler, R.E. Crandall and M.A. Penk: Primes of the Form $n! \pm 1$ and $2 \cdot 3 \cdot 5 \cdots p \pm 1$ (Math. Comp. Vol. 38, no. 158: pp. 639 – 643) www.jstor.org/stable/2007298