Sure thing, we’ll treat subscriber growth like a logistic curve: S(t)=K/(1+e^(-r(t‑t0))). First, gather timestamps and subscriber counts, fit K, r, and t0 with least squares. Then solve for t when S(t)=1000: t= t0 + (1/r)·ln((K/1000)‑1). Add a 95% confidence band by bootstrapping the residuals. Once we have that, we can flag the frame index by matching the timestamp to the stream’s frame rate. That’ll give us the exact frame—no guessing, just math.