OpenAI calculated period of 1/10! incorrectly in base 2, author suggests using meta-LLM blending

From Data Science Central: 2024-07-03 17:50:09

The author sought to find the length of the period of 1/10! in base 2 using OpenAI. OpenAI initially calculated the length as 12, which was incorrect; the correct answer is 540. Despite this error, OpenAI was able to generate the correct answer through Python code. The author suggests using a meta-LLM to blend results from multiple platforms for accurate answers.

The author is interested in the distribution of mathematical constants’ digits in various base systems, including binary. The digit distribution of famous constants like π, e, and others is unknown, presenting a challenging mathematical problem. By defining fractions using a recursive method involving p-adic valuations, the author aims to study digit distributions and potentially solve this complex problem.

To make progress in studying digit distributions of mathematical constants, the author developed a new framework involving recursive fractions. This framework allows for the study of digit distributions with fast computations and convergence properties. By focusing on the prefix rather than the period of certain fractions, the author aims to publish groundbreaking results regarding the digit distribution of famous irrational math constants.



Read more at Data Science Central: More Math Hallucinations with OpenAI, worse with Gemini