Artificial Intelligence in Number Theory: LLMs for Algorithm Generation and Ensemble Methods for Conjecture Verification

📰 ArXiv cs.AI

Learn how LLMs can generate algorithms and ensemble methods can verify conjectures in number theory, and apply these techniques to real-world problems

advanced Published 12 May 2026

Action Steps

Apply LLMs to generate algorithms for solving number theory problems
Use ensemble methods to verify conjectures in number theory
Evaluate the performance of LLMs on specialized domains like number theory
Combine LLMs with ensemble methods to improve conjecture verification
Test the generated algorithms on real-world number theory problems

Who Needs to Know This

Number theorists, mathematicians, and AI researchers can benefit from this research, as it showcases the potential of LLMs and ensemble methods in advancing number theory

Key Insight

💡 LLMs and ensemble methods can be used to advance number theory by generating algorithms and verifying conjectures

Full Article

Title: Artificial Intelligence in Number Theory: LLMs for Algorithm Generation and Ensemble Methods for Conjecture Verification

Abstract:
arXiv:2504.19451v3 Announce Type: cross Abstract: This paper presents two concrete applications of Artificial Intelligence to algorithmic and analytic number theory. Recent benchmarks of large language models have mainly focused on general mathematics problems and the currently infeasible objective of automated theorem proving. In the first part of this paper, we relax our ambition and focus on a more specialized domain: we evaluate the performance of the state-of-the-art open-source large langu

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