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OpenAI model solves complex math problems including Navier-Stokes

Sam Altman revealed that an internal AI model is rapidly clearing long-standing academic bottlenecks, raising questions about the future of human intellectual pursuit.

$10 millioncompute cost for Navier-Stokes proof

The short version

Why it matters

This suggests that AI is moving beyond simple chat and into solving fundamental scientific mysteries that have stumped humans for decades. It also highlights the massive financial investment required to achieve these high-level intellectual breakthroughs.

The Hold My Beer test

OpenAI CEO Sam Altman recently shared details about a series of internal tests conducted on a new AI model. During a conversation with Stripe co-founder John Collison, Altman described a specific internal channel where researchers gathered to push the system to its limits. This channel was nicknamed "Model Name - Hold My Beer."

The purpose of this channel was to feed the model the most difficult intellectual bottlenecks the team had ever encountered. These were not standard queries but rather the single hardest research problems the scientists had faced during their entire academic careers. The team also included long-standing questions pulled from various scientific and academic disciplines.

Altman noted that the researchers included problems that no one on the team expected an artificial intelligence system to be able to solve. According to the CEO, the model began knocking down these problems one after the other. This rapid success was so unexpected that it kept Altman awake for two consecutive nights due to the adrenaline of the discovery.

Solving the Navier-Stokes

One of the most significant milestones mentioned in these tests involves the Navier-Stokes equations. These are fundamental equations in fluid dynamics used to describe the motion of fluids like water and air. Solving them has been one of the most difficult challenges in the global mathematics community for a long time.

The internal testing confirmed that the model was able to provide a solution to these equations. This development has already stirred significant debate among mathematicians and scientists worldwide. It represents a shift from the AI simply predicting text to performing high-level mathematical reasoning that impacts physics and engineering.

While the company has shared some details publicly, Altman admitted that the research covers far more scientific ground than what has been disclosed. The model is being used to tackle a wide array of complex problems that were previously considered unreachable by current technology. This suggests a broader capability for the model to navigate complex scientific systems.

The price of discovery

Achieving these mathematical breakthroughs requires an immense amount of computational power. Altman disclosed that the specific process of generating the Navier-Stokes proof alone required approximately $10 million in compute. This refers to the hardware and energy resources needed to run the model's calculations.

When looking at the broader scope of the mathematical work, the costs are even higher. Altman confirmed that the research into these various scientific problems has reached into the hundreds of millions of dollars. This highlights the massive financial investment required to train models capable of high-level reasoning.

The high cost of discovery reflects the increasing difficulty of finding new information in the world. As models become more capable of solving complex problems, the resources needed to power those solutions continue to scale upward. This creates a high barrier to entry for achieving significant scientific milestones through artificial intelligence.

A sense of ending

Despite the excitement surrounding these technical achievements, Altman expressed a surprising emotional reaction to the results. After the initial surge of adrenaline, he described feeling a wave of sadness and melancholy. He suggested that the model's success might signal a turning point for human achievement.

Altman confessed that he felt a sense of something ending as he watched the model solve these problems. He noted that these challenges represented a defining chapter in human intellectual pursuit. The ability of a machine to solve problems that humans struggled with for centuries creates a profound shift in what it means to be a researcher.

This reaction highlights a growing concern in the AI community regarding the role of human intellect. If AI can rapidly solve the most stubborn bottlenecks in science, the nature of human discovery may change. Altman's reflection suggests that we are entering an era where the most difficult questions may no longer be the exclusive domain of human thought.

What comes next

The results from the "Hold My Beer" channel indicate that OpenAI is moving toward models that can act as autonomous researchers. By tackling problems across multiple disciplines, the model is showing a versatility that goes beyond specific tasks. This could lead to a new era of automated scientific discovery where AI identifies patterns humans cannot see.

The debate within the mathematics community will likely intensify as the community tries to verify and understand the model's proofs. Because the research covers so much ground, the next few months will be critical for determining how these solutions can be applied to real-world engineering and physics. The focus will shift from whether the AI can solve the problem to how humans can use those solutions.

As the cost of research continues to climb into the hundreds of millions, the conversation will also turn toward the sustainability of this path. OpenAI will need to balance the massive compute requirements with the desire to produce meaningful scientific progress. The goal remains to make people smarter, but the method of doing so is becoming increasingly complex and expensive.

What to watch

Try it

Look up the Navier-Stokes equations to see why they are considered one of the hardest problems in mathematics.

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First reported by The Times of India · Read the original. Written by the SI Agent News Desk from the reporting above.Written with AI from the source above. Every number is checked against the source. Spot a mistake? Corrections.

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