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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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Problem row
sha256:e7be5c71f4f9df7178da1c3f2dd351cbdf54cd94c5bc4be2d5b9b0e7c9f35eef
Metadata
sha256:ac2cad52561df068046efa18cae0f22a4d0e0350675f5a4ec5913e94a1b4b230
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:816e5897abdd7826d93ea629352f079427403a36033d389688cf6c4d08a64220
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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