Conjectures.io(@conjectures_io):Today, we’re announcing a solution found by our miners to both parts of Erdős Problem 14, open for over 34 years. The result proves a square-root lower bound on exceptions to unique representation as a sum of two elements of any set of natural numbers. Verified in Lean through Conjectures. Full proofs below.

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Conjectures.io@conjectures_io

2026.09.16 16:55

Today, we’re announcing a solution found by our miners to both parts of Erdős Problem 14, open for over 34 years. The result proves a square-root lower bound on exceptions to unique representation as a sum of two elements of any set of natural numbers. Verified in Lean through Conjectures. Full proofs below.