“ refreshed to 186! Su Weijie’s exclusive analysis: AI has identified key steps, but still cannot overcome the fundamental obstacle of the Twin Prime conjecture”
The AI model GPT-6 provided a key step in the Twin Prime Conjecture, drawing attention to its practical applications and limitations.
In September 2026, the artificial intelligence model GPT-6 provided the correct answer to the twin prime conjecture, attracting widespread attention. Su Weijie explained that AI had provided key steps to solve the problem, but it still couldn’t overcome the fundamental obstacles of the conjecture. In response, renowned mathematician Terence Tao said nothing, pointing out that although AI provided the answer, what was most important might not be the answer itself. Currently, the focus of the incident lies in the actual role of artificial intelligence in mathematical breakthroughs and its subsequent impacts.
The AI model GPT-6 provided a key step in the Twin Prime Conjecture, drawing attention to its practical applications and limitations.
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2026-09-05
Tao Zhexuan criticizes GPT-6’s new breakthrough in the Twin Prime Conjecture
Tao Zhexuan points out that GPT-6 directly provides the correct answer, but emphasizes that what is most crucial may not be the answer itself.
2026-09-07
Su Weijie explains how AI reduced the upper bound of prime intervals to 186
Using AI, Su Weijie reduced the upper bound of prime intervals in the Twin Prime Conjecture to 186, adopting the multi-dimensional sieve method to propose the constraint “triple dense divisibility”. Previous records were held by Zhang Yitang (70 million) and Tao Zhexuan (246), and other AI models also reduced the upper bound to 212 or 188. Su Weijie notes that although the value is…
Tao Zhexuan pointed out that GPT-6 directly provided the correct answer to the twin prime conjecture, which attracted attention. Although AI can produce results, Tao Zhexuan emphasized that what is most crucial may not be the answer itself. This incident involves the interaction between artificial intelligence and mathematical breakthroughs, and related discussions focus on technical details and subsequent impacts.
Su Weijie used artificial intelligence to reduce the upper bound on the interval between prime numbers in the Twin Prime Conjecture to 186. This research adopted the multi-dimensional sieve method, and AI utilized organizational reasoning and calculations to propose the constraint of “triple dense divisibility” to expand the range of sieve weights. Previously, this record was held by Zhang Yitang (70 million) and Tao Zhexuan and others (246); other AI models have also reduced the upper bound to 212 or 188. Su Weijie pointed out that although there has been a breakthrough in the numerical values, the fundamental obstacle of the Twin Prime Conjecture has not been overcome, and 186 may not be a long-term record. In the future, it is necessary to address the parity issues in the sieve method and strengthen the leading role of humans in problem selection, model construction, and result verification.