# GPT-5.6 Revolutionizes Convex Optimization

A 30-year gap closed with a single prompt.

- **Source:** [Hacker News](https://news.ycombinator.com)
- **Published:** 2026-07-18
- **Topic:** [Data & AI](https://brifing.si/c/data-ai)
- **Original article:** <https://old.reddit.com/r/math/comments/1uxj3cy/after_openais_cdc_proof_announcement_gpt56_used_a/>
- **On Brifing:** https://brifing.si/s/0c405db7-e82e-4fdd-a8b5-a5fb60a6be35

## Introduction

GPT-5.6 was used to solve a long-standing problem in convex optimization. This breakthrough once again highlights the potential of AI in mathematical challenges.

## The Problem

Convex optimization is a crucial branch of mathematical programming. However, a 30-year-old gap has been a significant obstacle in this field.

## The Solution

GPT-5.6 utilized a specially designed prompt to close this gap. This prompt was a critical step in enabling the model to solve the problem.

## The Method

Prompt engineering played a pivotal role in GPT-5.6's success. This technique allowed the model to produce more effective and accurate results.

## Implications

This achievement strengthens the role of AI in mathematical problems. It also opens new research avenues in convex optimization.

## Conclusion

GPT-5.6's success underscores the future potential of AI. Solutions to mathematical problems could accelerate even further with AI.

## Sources covering this story

- https://old.reddit.com/r/math/comments/1uxj3cy/after_openais_cdc_proof_announcement_gpt56_used_a/ — 

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_Summary written by Brifing from the original reporting. Copyright in the original article belongs to its publisher; read the full piece at the link above._