# MMRF Public Daily Report — 2026-09-14

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

## Public update

- Completed the next append-only candidate for `[6,200,000, 6,300,000)`, adding 6,425 primes.
- Verified the candidate against the corrected recursive chain and separately implemented mathematical oracles.
- Kept the candidate `CANDIDATE_UNPROMOTED`. The public stable dataset remains MMRF v1.0.0 with 148,933 records in 20 immutable shards.
- This report records one 2026-09-14 relay unit; it does not claim a 2026-09-13 artifact or catch-up run.

## Public identifiers

- Stable manifest SHA-256: `a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- Candidate logical CID: `mmrf-shard:f246511e94bc2b9e746075bdb156b5854cca7c829fb5d0c07211c679c54c358f`
- Candidate manifest SHA-256: `0309f1c38da091fae46e7cbb04bea4b56a805165d1ab8cac1d9c4b9ef3de3ab2`
- Exact-chain audit canonical-core SHA-256: `95360c2f2ca439c0900584826c1a97d5c31e311c5fb989136291bfa52f5a47e5`

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 — 2026-09-14

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 `[6,200,000, 6,300,000)` 只追加候選區間，新增 6,425 個質數。
- 已依修正後的遞迴候選鏈及另外實作的數學 oracle 覆核候選資料。
- 候選資料維持 `CANDIDATE_UNPROMOTED`（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。
- 本日報只記錄 2026-09-14 的一個接力單元；不主張存在 2026-09-13 artifact 或回補作業。

## 公開識別碼

- 穩定清單 SHA-256：`a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- 候選邏輯 CID：`mmrf-shard:f246511e94bc2b9e746075bdb156b5854cca7c829fb5d0c07211c679c54c358f`
- 候選清單 SHA-256：`0309f1c38da091fae46e7cbb04bea4b56a805165d1ab8cac1d9c4b9ef3de3ab2`
- 精確候選鏈稽核 canonical-core SHA-256：`95360c2f2ca439c0900584826c1a97d5c31e311c5fb989136291bfa52f5a47e5`

上述識別碼僅供研究候選接力辨識；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。