# 23 is Largest Integer not Sum of Distinct Perfect Powers/Mistake

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## Source Work

1986: David Wells: *Curious and Interesting Numbers*:

- The Dictionary
- $23$

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

- The Dictionary
- $23$

## Mistake

*$23$ is the largest integer that is not the sum of distinct powers.*

## Correction

This statement is refuted by:

- $23 = 2^4 + 2^2 + 2^1 + 2^0$

What in fact is meant is:

*$23$ is the largest integer that is not the sum of distinct***perfect**powers.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $23$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $23$