Factorial as Product of Consecutive Factorials/Mistake
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Source Work
1986: David Wells: Curious and Interesting Numbers:
- The Dictionary
- $3,628,800$
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $3,628,800$
Mistake
- ... the only factorial that is the product of other consecutive factorials apart from the trivial $1! = 0! \times 1!$, $2! = 0! \times 1! \times 2!$ and $1! \times 2! = 2!$.
The author missed the other obvious trivial example: $0! = 0! \times 1!$.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3,628,800$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3,628,800$