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Erdős problem 154

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Let A⊂{1,…,N}A\subset \{1,\ldots,N\} be a Sidon set with ∣A∣∼N1/2\lvert A\rvert\sim N^{1/2}. Must A+AA+A be well-distributed over all small moduli? In particular, must about half the elements of A+AA+A be even and half odd?

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Problem row
sha256:30dd4061f1ba4e53456142c6d6f82e0f40136e4c179c8da52abda9f82897a454
Metadata
sha256:b4dd43485e8345bcbb281368c6ef057c9a4a0f06a62e7bcc1c56ad73ba70f3d9
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:2cfbea0b9b1200dcd17c46753dd2c62ba806d72b353e54626e53d832b868bba9
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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