combinatorics / Arithmetic Ramsey Theory

Erdős Problem #1186

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open

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combinatoricsJul 13, 2026Significance 10/100Registry: unreviewed

Erdős Problem #1186

Prior state unknown→proved

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open

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exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open

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