# MMRF Public Daily Report — 2026-08-25

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

## Public update

- Completed the next append-only candidate for `[4,300,000, 4,400,000)`, adding 6,511 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:e59652f788fa021e705b5885277334ae3d47bdf2380f8fb05adbac664dc6f576`
- Candidate manifest SHA-256: `f069e7cd2ffd8ce928a4966d31fe35d610e71fe7a535ad5f3e5d1aee178bcc56`
- Exact-chain audit canonical-core SHA-256: `b81943808b0ec2429e9eefd334bdde4a72fd3115176a772f76064bac75d54680`

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 — 2026-08-25

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 `[4,300,000, 4,400,000)` 只追加候選區間，新增 6,511 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:e59652f788fa021e705b5885277334ae3d47bdf2380f8fb05adbac664dc6f576`
- 候選清單 SHA-256：`f069e7cd2ffd8ce928a4966d31fe35d610e71fe7a535ad5f3e5d1aee178bcc56`
- 精確候選鏈稽核 canonical-core SHA-256：`b81943808b0ec2429e9eefd334bdde4a72fd3115176a772f76064bac75d54680`

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。