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Sep 21, 2023 at 15:43 comment added RobPratt oeis.org/A100719
Sep 21, 2023 at 15:21 comment added Seva This is a well-known problem; see, for instance, "On Sets of Natural Numbers Whose Sumset is Free of Squares" by Tomasz Schoen (JCTA 88 (2), 1999, pp. 385-388) where it is shown that the density of such a set does not exceed $2/5$.
Sep 21, 2023 at 14:41 history asked Haoran Chen CC BY-SA 4.0