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diff --git a/prime-grokking/main.md b/prime-grokking/main.md
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--- a/prime-grokking/main.md
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@@ -153,3 +153,20 @@ cross the gap from pattern matching to computation.
Before it, `src/eval.py` must implement the locked `[1001,2000]` probe and
P5/P6 ladder: its stored P fields still derive from the obsolete `[101,200]`
evaluation.
+
+### 2026-08-21 — E7 long-horizon protocol locked
+
+- E7 is pre-registered as the direct duration test: four E6-derived cells
+ (`wd={0.1,0.3}` × tied RNN/transformer, seed 0) extend only the training
+ horizon from 200k to 4M steps. An O1 transition would make the prior nulls
+ budget-limited; unchanged O-PARTIAL/O4 with no P5/P6 signature would make
+ the E6 negative result robust to a 20× budget increase.
+- The protocol preserves E6's `[2,1000]` digits task, K=32, and train split.
+ RNN runs on ichi CPU (the sequential tied cell benchmarked faster there);
+ transformer runs AMP/compiled on the T1000. Adaptive evaluation reduces
+ monitoring overhead without changing the training objective.
+- This test is motivated by the original grokking result's delayed
+ generalization: small datasets can require far more optimization after
+ overfitting. It does not assume primes have a simple closed-form pattern;
+ the bounded target remains a test of whether a learned trial-division
+ procedure can beat memorization.