Q1: Did OpenAI officially win the $1 million Millennium Prize?
A1: No. The Clay Mathematics Institute requires publication in an established peer-reviewed journal followed by a mandatory two-year public review window. The submission remains under active verification by independent academic analysts.
Q2: Why are mathematicians skeptical if the computer code showed no errors?
A2: While the Lean 4 compiler verifies that deductions follow logically from premises, it cannot verify whether the initial definitions perfectly match the open problem's conditions. Subtle mismatches or inadvertently restrictive initial constraints can render an otherwise logically valid proof irrelevant to the true Navier-Stokes conjecture.
Q3: How does this proof change fluid mechanics in practical aerospace and meteorology?
A3: Day-to-day engineering relies on numerical approximations and empirical turbulence modeling. If confirmed, the proof guarantees that three-dimensional equations do not fundamentally blow up into infinite singularities, validating existing computational software foundations even if daily practical simulations remain largely unchanged.
