superintelligence

The Riemann Hypothesis: Can Superintelligence Crack this Ultimate Mathematical Challenge?

Introduction In July 2025, xAI introduced Grok 4, heralded as the “world’s smartest AI,” capable of solving PhD-level mathematical problems, such as   u_t = Δu on a bounded domain Ω ⊂ ℝⁿ, with Dirichlet boundary conditions:   u(x, t) = 0 for x ∈ ∂Ω, t > 0. Suppose u(x, t) is a classical solution with initial condition:   u(x, 0) = u₀(x), where u₀ ∈ …

From Math Hero to Zero: A Lesson in the Discipline of Consistent Practice

Back in 9th grade, I was the star of my school’s math scene. I scored a perfect 100/100 on every exam, leaving my peers trailing with scores in the 50s and 60s—the second-highest being a 78. My consistent success earned me an Army scholarship, as well as a watch, a token of recognition from a …