A new paper, accompanied by a Lean formalization, claims to disprove the Randomized Integer Word-RAM 3SUM Conjecture, ranked #
159# in my LLM-based ranking of the most important open problems in mathematics:
"Claude, an AI model developed by Anthropic, discovered the algorithm that refutes the3SUM, APSP, and Exact Triangle hypotheses."
The paper also claims to resolve #
243#, "All-Pairs Shortest Paths in Truly Subcubic Time."
Lean formalization: