ChainCatcher reports that Tencent’s Hunyuan official X account posted that its research agent, Hyra, in collaboration with the Hy3 model, has explicitly constructed a proof for a problem that has puzzled the mathematical community for over 50 years: the optimal exponent for the growth rate of the sumset size |A+A| versus the difference set size |A-A| for a finite set of integers 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, Confirming 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 that the optimal growth index for sumset and difference set sizes is 2. This breakthrough supports advancement in AI research and may influence discussions around AI + crypto. The team provided a proof demonstrating that the exponent is precisely 2, surpassing previous constructions. Hyra is an in-house AI tool designed for complex research tasks. The results are still pending peer review.
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