# 23 is Largest Integer not Sum of Distinct Powers

## Theorem

The largest integer which cannot be expressed as the sum of distinct powers is $23$.

## Proof

## Sources

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