# How direct, context-rich prompts shape technical LLM conversations

DevFeed: [How direct, context-rich prompts shape technical LLM conversations](<https://devfeed.tech/articles/on-terence-tao-s-chat-the-prompt-engineering-era-is-over-40862.md>)

Original publisher: [Read original article](<https://mutto.fyi/posts/2026/08/jacobian-conjecture-chat/>)

Published: 2026-08-06T00:00:00Z

Content type: opinion

Language: en

Sources: [Mutt0-ds Notes](<https://devfeed.tech/sources/mutt0-ds-notes.md>)

Topics: [Prompt Engineering](<https://devfeed.tech/topics/prompt-engineering.md>), [ChatGPT](<https://devfeed.tech/topics/chatgpt.md>), [Large Language Model](<https://devfeed.tech/topics/llm.md>), [Artificial Intelligence](<https://devfeed.tech/topics/ai.md>), [math](<https://devfeed.tech/topics/math.md>)

Tags: [ai](<https://devfeed.tech/tags/ai.md>), [chatgpt](<https://devfeed.tech/tags/chatgpt.md>), [deep-dive](<https://devfeed.tech/tags/deep-dive.md>), [llm](<https://devfeed.tech/tags/llm.md>), [prompt-engineering](<https://devfeed.tech/tags/prompt-engineering.md>), [technical](<https://devfeed.tech/tags/technical.md>)

## AI overview

This opinion article examines Terence Tao's ChatGPT conversation about verifying a counterexample to the Jacobian conjecture. It argues that providing informed context and precise technical constraints can guide LLMs more effectively than elaborate prompt templates.

## Source excerpt

There is something so satisfying in reading Terence Tao's ChatGPT conversation, where he and the model together verify a counterexample to...