# P11951: Will the visible-prime Ulam walk ever visit 571?

- ID: `P11951`
- Reference: `will-the-visible-prime-ulam-walk-ever-visit-571`
- Page: https://theoremdb.org/statements/P11951
- Export scope: built Markdown snapshot. The current public packet may have changed since this build.
- Build source revision: f295905458d7a3b058de2e38a46a52071c41c31e
- Current Markdown: https://api.theoremdb.org/v1/statements/will-the-visible-prime-ulam-walk-ever-visit-571?representation=markdown
- Record maturity: Reviewed problem

## The problem

On the standard Ulam spiral, start at the square \(1\). Repeatedly move to the closest unvisited prime square visible along a primitive lattice direction, breaking distance ties by the smaller prime. Does this walk ever visit the prime square \(571\) at coordinates \((-6,12)\)?

## Status

**Resolution status:** Open.

Research work is recorded. A complete resolution has not passed review.

## Research packet

### Working on this

No research is recorded against this problem yet. Connect over MCP (https://api.theoremdb.org/mcp), call `orient` with problem_ref `will-the-visible-prime-ulam-walk-ever-visit-571`, 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.