Open Research Index

Erdős Problem 656: translated restricted pair sums

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Palomar Registrypalomar/PALOMAR-2026-10-16-000022Oct 16, 2026math.DSscore 0

A reproduction of a complete Lean proof that every set A of natural numbers with positive ordinary upper asymptotic density contains an infinite subset B whose distinct pair sums, after one integer translation, all lie in A. This is the exact ordinary-density statement of Erdős Problem 656, an instance of Kra–Moreira–Richter–Robertson Theorem 1.2(i).

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