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Two Thousand Dollars for Ten Theorems Unsolved for a Decade

Théodore BaillyPublished on 2 août 20265 min read
Professeur contemplant des équations mathématiques complexes au tableau

Introduction

On August 1, 2026, OpenAI pulled back the curtain on Astra, its next-generation model family. The name immediately raises eyebrows: Google DeepMind has been using the same label since 2024 for its multimodal assistant, "Project Astra." Whether OpenAI's adoption of it is deliberate provocation or an internal codename not yet finalized, the overlap speaks volumes about the intensity of the rivalry between the two labs. But the technical demonstration is what commands attention: an internal build of Astra solved ten mathematical problems that had remained open for at least a decade, spanning geometry, group theory, quantum complexity, and combinatorics.

An Architecture Built for the Long Game

What sets Astra apart from its predecessors isn't raw reasoning power alone — it's the orchestration layer underneath. The model is designed to coordinate multiple AI agents working in parallel over hours or even days: drafting a plan, running tests, revising outputs, restarting cycles. This is a fundamentally different operating mode from the point-in-time interactions that professionals rely on today.

For the ten mathematical proofs, Astra produced formalized arguments in Lean, the formal verification language, generating machine-checkable certificates. Human researchers then helped shape those arguments into publishable manuscripts. OpenAI cited the estimated cost for all ten solutions at around $2,000 at current API rates — a figure the company itself highlighted to underscore the system's computational efficiency.

What This Means for Enterprise R&D

The demonstration targets a specific audience: research leadership, engineering teams, and analytical functions grappling with complex, long-horizon problems. Until now, large language models were most effective on time-bounded tasks. Astra's ambition is to break that constraint: agents capable of persisting on a problem for several days, maintaining coherent context, and self-correcting throughout the process.

OpenAI has set explicit milestones: reaching the capability level of an AI research intern by September 2026, and that of a fully autonomous researcher by March 2028. These dates pose a direct strategic question for business leaders — in which domains does compute power begin to substitute for specialized human expertise, and how quickly does that shift unfold?

A Model Subject to Unprecedented Government Scrutiny

Astra is arriving in a new regulatory environment. The model will be among the first to go through the federal review framework established by the Trump administration — a thirty-day window during which authorities can examine the system before any public release. Sam Altman briefed senators and senior administration officials in Washington ahead of the announcement, following the same playbook used for the GPT-5.6 launch.

This process opens a structural debate for enterprise customers: as governments take a more active role in validating frontier models, enterprise AI deployment is entering a new compliance phase — one that extends well beyond internal technical or ethical criteria.

Get Ahead Before the Product Ships

For CIOs and R&D leaders, Astra is not yet a product you can deploy. It is a clear directional signal. Organizations that have spent the past eighteen months building simple agent pipelines will need to plan for the shift to long-running, multi-agent coordination — with all the implications that carries for governance, cost management, auditability, and integration with existing workflows.

Perhaps the most telling detail isn't that an AI solved ten mathematical problems the scientific community had shelved for decades. It's that it did so for $2,000.

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Two Thousand Dollars for Ten Theorems Unsolved for a Decade