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# Documents  05A18 | enregistrements trouvés : 1

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## Post-edited  Maximum size of a set of integers with no two adding up to a square Szemerédi, Endre (Auteur de la Conférence) | CIRM (Editeur )

Erdös and Sárközy asked the maximum size of a subset of the first $N$ integers with no two elements adding up to a perfect square. In this talk we prove that the tight answer is $\frac{11}{32}N$ for sufficiently large $N$. We are going to prove some stability results also. This is joint work with Simao Herdade and Ayman Khalfallah.

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