# Consecutive Integers whose Product is Primorial/Mistake/Second Edition

Jump to navigation
Jump to search

## Contents

## 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): $714$