Experiment complete. Report written to `tools/data/reports/agent_20260408_0330.md`.

**Risultante**: Prime gaps follow a **1/k anti-correlation law** — acf(k) = -0.037/k with R²=0.998. This is long-range memory (power-law), not short-range (AR/exponential, R²=0.91). Not explained by Z/6Z confinement or marginal gap distribution. All 20 tested lags are significantly negative (z from -3.1 to -64.6).

The finding unifies GAP_ANTICORR (which measured only lag-1) into a single-parameter law: the amplitude A~0.037 encodes the entire correlation structure. The harmonic divergence (sum 1/k) means primes carry infinite total anti-correlation — memory never fully dies.

**Consecutio**: Derive the 1/k law from Hardy-Littlewood singular series. Measure how A scales with p. Compute the power spectral density directly.