# MMRF Public Daily Report — 2026-08-13

Status: COMPLETE — prime expansion relay independently verified; stable public dataset unchanged

## Public update

- Completed the next append-only candidate for `[3,100,000, 3,200,000)`, adding 6,717 primes.
- Verified the candidate against the corrected recursive chain and a separately implemented mathematical oracle.
- Kept the candidate unpromoted. The public stable dataset remains MMRF v1.0.0 with 148,933 records in 20 immutable shards.

## Public identifiers

- Stable manifest SHA-256: `a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- Candidate logical CID: `mmrf-shard:79da7246348ace955607a16fc19e520080cb7ad6500d637840bc8067c6a9381d`
- Candidate manifest SHA-256: `ad5b7a51073bb31112e7e2bf00f91bb5107a4dd2f0da1578a6c353a5b101324d`
- Exact-chain audit SHA-256: `a786a025fbf917a5fc3eaf482ff7db56c841205ca818d7c72e5e3724eb2f7cd3`

These are research-candidate identifiers only. Candidate shards and internal
review details are not exposed by the public site.

This public report contains no sensitive, controlled, private, or internal
operational data.

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# MMRF 公開每日更新日報 — 2026-08-13

狀態：完成 — 質數擴展接力已獨立覆核；穩定公開資料集未變更

## 公開更新

- 完成下一個 `[3,100,000, 3,200,000)` 只追加候選區間，新增 6,717 個質數。
- 已依修正後的遞迴候選鏈及另一套獨立實作的數學 oracle 覆核候選資料。
- 候選資料未升格；公開穩定資料仍為 MMRF v1.0.0 的 148,933 筆、20 個不可變分片。

## 公開識別碼

- 穩定清單 SHA-256：`a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- 候選邏輯 CID：`mmrf-shard:79da7246348ace955607a16fc19e520080cb7ad6500d637840bc8067c6a9381d`
- 候選清單 SHA-256：`ad5b7a51073bb31112e7e2bf00f91bb5107a4dd2f0da1578a6c353a5b101324d`
- 精確候選鏈稽核 SHA-256：`a786a025fbf917a5fc3eaf482ff7db56c841205ca818d7c72e5e3724eb2f7cd3`

上述識別碼僅供研究接力辨識；候選分片與內部覆核細節不由公開網站提供。

本日報不包含敏感、受控、私人或內部作業資料。