The solution to today’s puzzles Earlier today, I set a puzzle by UCLA professor Terry Tao, who is widely regarded as one of the world’s top mathematicians. Here it is again with solutions. The magic money plant In an online…
Terence Tao teaser time Today’s puzzle is set by Terence Tao, who may be the world’s most famous mathematician. Tao, aged 51, has been a global phenomenon since the age of ten, when he became the youngest competitor at the International…
South Korea’s SK Telecom announced on Oct. 22 that it has teamed up with leading domestic researchers to improve the mathematical reasoning capabilities of its proprietary AI foundation model, A.X K2. The Seoul-based telecom company noted that the collaboration aims to…
The Riemann hypothesis is a fundamental statement about the distribution of prime numbers. The Riemann hypothesis has been an open problem for over 160 years. Resolving it would enable mathematicians to better understand the nature of prime numbers, one of math’s…
Gabriel’s Horn: The Mathematical Paradox of Infinity To understand this for sense, it is not required that a man should be a geometrician or a logician, but that he should be mad.” Who was Evangelista Torricelli? What is Gabriel’s Horn?
## A 3D Double-Cone Perspective on Zeta, Primes, and the Origin of Torus By Supat Charoensappuech, in collaboration with DeepSeek V4 (October 13, 2026) (Generated by Grok 4) This article does not claim to present a proven theory or a final answer. It is an act…
Anthropic said on 16 October 2026 that Claude traced the seeds behind NIST’s standard elliptic curves, used by the ECDSA signature standard, to an ordinary random-number generator: “None of them were the results of any hash algorithm at all, but rather the…
The committee meets in a windowless room with seven chairs and one screen. It is a Tuesday, sometime in the 2030s. Nobody has brought coffee, because nobody expects this to take long. Then the chair scrolls down to the theory itself,…
By Supat Charoensappuech, in collaboration with Gemini 3.8 Flash in Google AI Studio (September 26, 2026) Introduction: The Three-Century Schism of the Zeta Function Few mathematical objects possess a history as tantalizing as the Riemann zeta function: zeta(s) = 1/(1^s) + 1/(2^s) + 1/(3^s) + 1/(4^s) + … In 1734, Leonhard Euler solved the…
The Riemann hypothesis and the zeta function: new bounds on its zeros, claimed proofs, and explainers of the most famous open problem about the primes.
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