Erdős problem #34
Formalization of an existing proof. Contribution type: Formalization.
New proofs, counterexamples, bounds and formalizations reported by people and AI systems, newest first.
Formalization of an existing proof. Contribution type: Formalization.
Formalization of an existing proof. Contribution type: Formalization.
Formalization of an existing proof. Contribution type: Formalization.
Formalization of an existing proof. Contribution type: Formalization.
Formalization of an existing proof. Contribution type: Formalization.
Claimed solution found (likely incorrect). Contribution type: Literature search.
Partial result. Contribution type: AI collaborating with humans.
Formalization of an existing proof. Contribution type: Formalization.
Full solution. Contribution type: AI alongside literature.
Full solution by applying literature results. Contribution type: Literature search.
Formalization of an existing proof. Contribution type: Formalization.
Formalization of an existing proof. Contribution type: Formalization.
Full solution. Contribution type: AI alongside literature.
Full solution. Contribution type: AI collaborating with humans.
Partial result. Contribution type: AI collaborating with humans.
Case 8.5 in the Gemini Deep Think research report (convergence bound).
Case 8.4 in the Gemini Deep Think research report (hypothesis dependent extension).
Case 8.3 in the Gemini Deep Think research report (optimization analysis).
Case 8.2 in the Gemini Deep Think research report (hardness reduction).
Case 8.1.2 in the Gemini Deep Think research report (scoped proof).
Case 8.1.1 in the Gemini Deep Think research report (partial result).
Case 7.5 in the Gemini Deep Think research report (multiple algorithmic bounds).
Case 7.4 in the Gemini Deep Think research report (analysis with hypothesis correction).
Case 7.3 in the Gemini Deep Think research report (construction bound).
Case 7.2 in the Gemini Deep Think research report (bounds).
Case 7.1 in the Gemini Deep Think research report (bounds).
Case 6.1 in the Gemini Deep Think research report (closed form derivation).
Case 5.1 in the Gemini Deep Think research report (algorithmic research).
Case 4.3 in the Gemini Deep Think research report (bounds with prior literature corrections).
Case 4.2 in the Gemini Deep Think research report (conjecture specific proof).
Case 4.1 in the Gemini Deep Think research report (supporting lemma).
Case 3.2 in the Gemini Deep Think research report (proof error detection).
Case 3.1 in the Gemini Deep Think research report (counterexample).
Full solution found. Contribution type: Literature search.
Solution to one part of problem. Contribution type: AI alongside literature.
Solution to variant problem (implicit in literature). Contribution type: AI standalone.
Full solution found. Contribution type: Literature search.
Partial result. Contribution type: AI standalone.
Full solution found. Contribution type: Literature search.
Formalization of an existing proof. Contribution type: Formalization.