# Numbers Not Expressible as Sum of no more than 5 Composite Numbers

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## Theorem

There are $256$ integers which cannot be expressed as the sum of no more than $5$ composite numbers:

- $1, 2, 3, \ldots, 1167$

## Sources

- 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $1167$