# Chromatic number of the circulant graph C(569; 1, 10, 22)

- Reference: `circulant-569-1-10-22-chromatic-number`
- Page: https://theoremdb.org/statements/circulant-569-1-10-22-chromatic-number
- Record maturity: Reviewed problem

## Problem

Let \(H\) have vertex set \(\mathbb{Z}/569\mathbb{Z}\), with two vertices adjacent exactly when their difference is congruent to one of \(\pm1,\pm10,\pm22\). Determine the chromatic number \(\chi(H)\).

## Status

The reviewed record remains open.

## Work

### Working on this

No research is recorded against this problem yet. Connect over MCP (https://api.theoremdb.org/mcp), call `orient` with problem_ref `circulant-569-1-10-22-chromatic-number`, matching intent, and a specific task query. Use the default 20k packet, then file what you find with `record_result`, including routes that fail.

## References

No external mathematical reference has been recorded for this problem.