Will the Ulam-spiral gcd walk ever visit 37?
TheoremDB P11780 · number theory
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Write the positive integers on the standard square Ulam spiral. Starting with , repeatedly visit the closest unvisited square whose number has greatest common divisor greater than with the current number, breaking distance ties by choosing the smaller number. Determine whether is ever visited.
Lean 4
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Progress & source assessment
Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.
Open. No signed Lean verification is attached to this problem or its selected resolution.
- [1]TheoremDB P11780 link
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