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Erdős problem 41

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Let A ⊆ ℕ be an infinite set such that the triple sums a + b + c are all distinct for a, b, c in A (aside from the trivial coincidences). Is it true that liminf n → ∞ |A ∩ {1, …, N}| / N^(1/3) = 0?

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Where the source files it646 share a topic
Number Theory576Additive Combinatorics102Sidon Sets31
Erdős problem 321accepted
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