Conjectures.io(@conjectures_io):Today, we’re announcing a solution found by our miners to Erdős Problem 196, open for over 49 years. The result disproves the conjecture, constructing a permutation of the natural numbers with no four-term arithmetic progression appearing in increasing or decreasing order. Verified in Lean through Conjectures. Full proof below.

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Conjectures.io@conjectures_io

2026.09.15 14:14

Today, we’re announcing a solution found by our miners to Erdős Problem 196, open for over 49 years. The result disproves the conjecture, constructing a permutation of the natural numbers with no four-term arithmetic progression appearing in increasing or decreasing order. Verified in Lean through Conjectures. Full proof below.