Schatunowsky's Theorem/Mistake
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Source Work
1986: David Wells: Curious and Interesting Numbers:
- The Dictionary
- $30$
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $30$
Mistake
- $30$ is the greatest number such that all the numbers less than it and prime to it are themselves primes. The other numbers with this property are $2$, $3$, $4$, $6$, $8$, $12$, $18$ and $24$.
Correction
While all integers are coprime to $1$ (and $30$ in particular), remember that $1$ is not classified as a prime number.
The canonical exposition of this result is for $1$ to be specifically mentioned.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $30$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $30$