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Erdős problem 434

Let knk \le n. What choice of A{1,,n}A\subseteq\{1, \dots, n\} (with gcd(A)=1\text{gcd}(A) = 1) of size A=k|A| = k maximises the number of integers not representable as the sum of finitely many elements from AA (with repetitions allowed)? Is it {n,n1,,nk+1}\{n, n - 1, \dots, n - k + 1\}?

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sha256:2650c7b23fac6527eb7ee1a58da079390edc87a0240e2bb9e0fb32e518d4fd26
Metadata
sha256:91ed1e6b412b298bdcee3a369a289276c7dc81c938ed4c47a30a5a9b18127a99
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:cd61bd14cc5e835a8cb9732b5f2b2e714d52ff878125cdb291a4f25b3bf91d64
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
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2415f78e850aeee50afdca525c6f2e0ea606f207

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