Huo Xing Finance reports that Tencent Hunyuan’s official X account posted that its research agent Hyra, in collaboration with the Hy3 model, has explicitly constructed a solution to a problem that has puzzled the mathematical community for over 50 years: the optimal exponent for the growth rate of the size of the sumset |A+A| versus the difference set |A-A| for a finite set of integers A is exactly 2. While a 1969 theorem established an upper bound of 2, the best constructions over the subsequent 50 years achieved only slightly more than an exponent of 1.1. This achievement demonstrates the potential of AI agents in pure mathematical reasoning. Tencent stated that Hyra is an internally developed AI research agent designed to assist in exploring complex mathematical and scientific problems. The result still requires peer review by the mathematical community.
Tencent Hunyuan AI Agent Solves 50-Year Math Problem, Confirms Optimal Growth Index of 2
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Summary
Tencent’s Hunyuan AI agent Hyra, working with the Hy3 model, has solved a 50-year-old math problem by confirming the optimal growth index of 2 for sumset and difference set sizes. This breakthrough supports ecosystem growth in AI-driven research. Previously, the best constructions only achieved an index of 1.1. Tencent states that Hyra is an in-house AI tool designed for complex mathematical and scientific problems. The results still require peer review. This development adds to the growing body of AI + crypto news as AI tools expand into new problem-solving domains.
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