Consecutive Integers whose Product is Primorial/Mistake/Second Edition

Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary

$714$

Mistake

They discovered on computer that only primorial $1$, $2$, $3$, $5$ and $7$ can be represented as the product of consecutive numbers, up to primorial $3049$.

Correction

There are two problems here:

$(1): \quad$ The primorial of $17$, which the section discusses, is omitted from this sentence. It perhaps ought to start:

Apart from primorial $17$, ...

$(2): \quad$ The primorial of $1$ is generally accepted as being $1$. There are no two consecutive numbers whose product is $1$: $0 \times 1 = 0$, $1 \times 2 = 2$.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $714$