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Erdős problem 44

Erdős Problem 44: Let N ≥ 1 and A ⊆ {1,…,N} be a Sidon set. Is it true that, for any ε > 0, there exist M = M(ε) and B ⊆ {N+1,…,M} such that A ∪ B ⊆ {1,…,M} is a Sidon set of size at least (1−ε)M^{1/2}?

How the state got here

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  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingNothing recorded here
  6. Next gapNot recorded

Result history

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:a635a71dd19df686d886904a7722f49f258e49fbca52781e48250552693c0db8
Metadata
sha256:07fdb02577e7b39d4ccaca23475305abed5afef3db9bb08f0b1b5a6aa3a4a2e1
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:e478f0890d199ee2ea9337c7b3b2a07f6f6a2145e946341f3a263cecc1e0f7cc
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb