# MMRF Public Daily Report — 2026-08-21

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

## Public update

- Completed the next append-only candidate for `[3,900,000, 4,000,000)`, adding 6,535 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.

## Public identifiers

- Stable manifest SHA-256: `a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- Candidate logical CID: `mmrf-shard:7af2ce50986e9ddd8ea945471fa1147ab478afae771036000c760ee188f0362d`
- Candidate manifest SHA-256: `f346e629e66e37988b42001f044c5430dfadf934fe4a9df1dd63f88c8efdc49b`
- Exact-chain audit canonical-core SHA-256: `2b834edfd5e27cab0a04ed3d07e7b53a4c1329c7dbc027d3beca8206b1088900`

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 — 2026-08-21

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 `[3,900,000, 4,000,000)` 只追加候選區間，新增 6,535 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。

## 公開識別碼

- 穩定清單 SHA-256：`a5caea22a57efaac915c00dd92c655b1126e0b6d9b2b93790e48bc167733e0d1`
- 候選邏輯 CID：`mmrf-shard:7af2ce50986e9ddd8ea945471fa1147ab478afae771036000c760ee188f0362d`
- 候選清單 SHA-256：`f346e629e66e37988b42001f044c5430dfadf934fe4a9df1dd63f88c8efdc49b`
- 精確候選鏈稽核 canonical-core SHA-256：`2b834edfd5e27cab0a04ed3d07e7b53a4c1329c7dbc027d3beca8206b1088900`

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。