Consecutive Integers whose Product is Primorial/Mistake/First Edition
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Source Work
1986: David Wells: Curious and Interesting Numbers:
- The Dictionary
- $714$
Mistake
- They discovered on computer that only primorial $1$, $2$, $3$, $4$ and $7$ can be represented as the product of consecutive numbers, up to primorial $3049$.
Correction
There are three problems here:
- $(1): \quad 4$ is wrong -- it should be $5$. (This has been corrected in Curious and Interesting Numbers, 2nd ed. of $1997$.)
- $(2): \quad$ The primorial of $17$, which the section discusses, is omitted from this sentence. It perhaps ought to start:
- Apart from primorial $17$, ...
- $(3): \quad$ 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
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $714$