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pi_repetition_report.md

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+# $\pi$ Hexadecimal Substring Repetition Audit
+
+- **Current Search Horizon ($N$):** 2,048,000 digits
+- **Generated At:** 2026-11-10 22:24:25
+
+| Length | Repeat Detected? | Unique Repeated Strings | Total Events | First Repeated Substring | First Index | Repeat Index | Distance |
+| :--- | :---: | :---: | :---: | :--- | :---: | :---: | :---: |
+| 4 | **YES** | 29 | 58 | `7157` | 248 | 401 | 153 |
+| 5 | **YES** | 2 | 4 | `48986` | 450 | 596 | 146 |
+| 6 | **YES** | 2 | 4 | `0DF01C` | 1674 | 2526 | 852 |
+| 7 | **YES** | 1 | 2 | `B54E391` | 27838 | 30360 | 2522 |
+| 8 | **YES** | 6 | 12 | `A0C8493A` | 67098 | 159033 | 91935 |
+| 9 | **YES** | 1 | 2 | `5270BD1DD` | 274197 | 275562 | 1365 |
+| 10 | NO | 0 | 0 | — | — | — | — |
+| 11 | NO | 0 | 0 | — | — | — | — |
+| 12 | NO | 0 | 0 | — | — | — | — |
+| 13 | NO | 0 | 0 | — | — | — | — |
+| 14 | NO | 0 | 0 | — | — | — | — |
+| 15 | NO | 0 | 0 | — | — | — | — |
+| 16 | NO | 0 | 0 | — | — | — | — |
+| 17 | NO | 0 | 0 | — | — | — | — |
+| 18 | NO | 0 | 0 | — | — | — | — |
+| 19 | NO | 0 | 0 | — | — | — | — |
+| 20 | NO | 0 | 0 | — | — | — | — |
+| 21 | NO | 0 | 0 | — | — | — | — |
+| 22 | NO | 0 | 0 | — | — | — | — |
+| 23 | NO | 0 | 0 | — | — | — | — |
+| 24 | NO | 0 | 0 | — | — | — | — |
+| 25 | NO | 0 | 0 | — | — | — | — |
+| 26 | NO | 0 | 0 | — | — | — | — |
+| 27 | NO | 0 | 0 | — | — | — | — |
+| 28 | NO | 0 | 0 | — | — | — | — |
+| 29 | NO | 0 | 0 | — | — | — | — |
+| 30 | NO | 0 | 0 | — | — | — | — |
+| 31 | NO | 0 | 0 | — | — | — | — |
+| 32 | NO | 0 | 0 | — | — | — | — |
+| 33 | NO | 0 | 0 | — | — | — | — |
+| 34 | NO | 0 | 0 | — | — | — | — |
+| 35 | NO | 0 | 0 | — | — | — | — |
+| 36 | NO | 0 | 0 | — | — | — | — |
+| 37 | NO | 0 | 0 | — | — | — | — |
+| 38 | NO | 0 | 0 | — | — | — | — |
+| 39 | NO | 0 | 0 | — | — | — | — |
+| 40 | NO | 0 | 0 | — | — | — | — |
+| 41 | NO | 0 | 0 | — | — | — | — |
+| 42 | NO | 0 | 0 | — | — | — | — |
+| 43 | NO | 0 | 0 | — | — | — | — |
+| 44 | NO | 0 | 0 | — | — | — | — |
+| 45 | NO | 0 | 0 | — | — | — | — |
+| 46 | NO | 0 | 0 | — | — | — | — |
+| 47 | NO | 0 | 0 | — | — | — | — |
+| 48 | NO | 0 | 0 | — | — | — | — |
+| 49 | NO | 0 | 0 | — | — | — | — |
+| 50 | NO | 0 | 0 | — | — | — | — |
+| 51 | NO | 0 | 0 | — | — | — | — |
+| 52 | NO | 0 | 0 | — | — | — | — |
+| 53 | NO | 0 | 0 | — | — | — | — |
+| 54 | NO | 0 | 0 | — | — | — | — |
+| 55 | NO | 0 | 0 | — | — | — | — |
+| 56 | NO | 0 | 0 | — | — | — | — |
+| 57 | NO | 0 | 0 | — | — | — | — |
+| 58 | NO | 0 | 0 | — | — | — | — |
+| 59 | NO | 0 | 0 | — | — | — | — |
+| 60 | NO | 0 | 0 | — | — | — | — |
+| 61 | NO | 0 | 0 | — | — | — | — |
+| 62 | NO | 0 | 0 | — | — | — | — |
+| 63 | NO | 0 | 0 | — | — | — | — |
+| 64 | NO | 0 | 0 | — | — | — | — |