Skip to content

Erdős problem 867

Start work

Is it true that if A={a1<⋯<at}⊆{1,…,N}A=\{a_1<\cdots <a_t\}\subseteq \{1,\ldots,N\} has no solutions to ai+ai+1+⋯+aj∈Aa_i+a_{i+1}+\cdots+a_j\in A then ∣A∣≤N2+O(1)?\lvert A\rvert \leq \frac{N}{2}+O(1)?

Erdős Problems records this as disproved (Lean).

No Repository has ruled on it here.

How far the record reaches4 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal6 retained
  4. Resolutiondisproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingWork

Nothing here has checked that finding.

Reproducing it here turns a report into evidence.

Open the work surface
Where the source files it101 share a topic
Additive Combinatorics102
None carries a Standing. Browse the topic.
Start workOpen sources