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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}?

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Problem row
sha256:a635a71dd19df686d886904a7722f49f258e49fbca52781e48250552693c0db8
Metadata
sha256:07fdb02577e7b39d4ccaca23475305abed5afef3db9bb08f0b1b5a6aa3a4a2e1
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:e478f0890d199ee2ea9337c7b3b2a07f6f6a2145e946341f3a263cecc1e0f7cc
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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