Jon Markman

Anthropic's Claude AI has achieved a monumental breakthrough in number theory, dramatically advancing the Riemann Hypothesis. In just 1.5 days, a research version of Claude increased the proven share of Riemann zeta function zeros on the critical line from 41.6% to 67.2%. This unprecedented leap, which took human mathematicians 37 years for minimal progress, represents the largest single advance in the hypothesis's 165-year history. Claude accomplished this by synthesizing previously separate, specialized mathematical literature, effectively acting as a universal reader. The proof was rigorously machine-verified and reviewed by leading external experts, underscoring AI's powerful capability for complex knowledge synthesis.

Anthropic's anticipated October IPO is poised to be the largest ever, with shareholders projecting a valuation exceeding $2 trillion, potentially reaching $3 trillion. This ambitious figure is driven by the AI company's unprecedented revenue growth, with annualized run rates skyrocketing from $1 billion in late 2024 to $47 billion by May, and projections of $100-120 billion by December. However, this "run rate" reflects current sales pace, not booked revenue, and the valuation assumes significant future enterprise integration. The article cautions against initial market volatility, drawing parallels to Facebook's 2012 IPO, which saw its stock drop before long-term growth proved its value. Anthropic's public S-1 filing will soon reveal critical financial details, setting a benchmark for the entire AI industry, as the market begins to daily "vote" on its worth, with true business value emerging over years.

The S&P 500 reached a record 7,800, propelled by a US-Iran ceasefire set to expire this weekend. While Pakistani mediators suggest a drafted extension, Iran vehemently denies any ongoing talks, asserting the agreement ended weeks ago. This market surge reflects a pattern where traders buy on President Trump's peace hints, often strategically timed when stocks are under pressure. Trump's rhetoric consistently aligns with market needs, generating rallies based on his statements rather than verified diplomatic progress. Fund managers, pressured for performance, quickly chase these headlines, creating a market detached from actual geopolitical realities. Investors face significant risk, as the current rally hinges on Trump's next pronouncement, not fundamental earnings or genuine peace.

Two days after Anthropic's shareholders floated a $2 trillion price for its October listing, the company showed prospective investors something rarer than a big valuation: a quarter that made money.

DeepSeek spent the last eighteen months as the market's favorite proof that AI was getting too cheap to justify the money being spent on it.

Retail investors in Shanghai bid for more than 8,000 times the shares available in Unitree Robotics' initial public offering, a record for the STAR Market.

The skeptical case against the largest IPO ever attempted now fits in a single sentence, and the Financial Times wrote the canonical version of it this week:

Anthropic posts the first profitable quarter for a frontier AI lab, booking $11.5B in Q2 revenue and signaling a shift in AI economics.

From Investor Rejection To $40 Million Auction Record: Ferrari's Luce Vindicated This is our third report on the Ferrari Luce, the car investors sold over a photograph.

Claude autonomously designed protein binders that worked against 14 of 15 disease targets, showing how AI could transform drug discovery and biotech.