# MMRF Public Daily Report — 2026-08-31

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

## Public update

- Completed the next append-only candidate for `[4,900,000, 5,000,000)`, adding 6,521 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:69d8f924701b0a604ec4ca4690862f230236cc7fc602d2240152a416f6060ac3`
- Candidate manifest SHA-256: `74b07f88d6440c4457c65ff330d793024aa8d5f28617d0ac2f781cdfcda8369f`
- Exact-chain audit canonical-core SHA-256: `6705a3825ff6b84482e3e6de44ef76b8672bd54d67b9ea220b0983e8a9d1560c`

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 — 2026-08-31

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 `[4,900,000, 5,000,000)` 只追加候選區間，新增 6,521 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:69d8f924701b0a604ec4ca4690862f230236cc7fc602d2240152a416f6060ac3`
- 候選清單 SHA-256：`74b07f88d6440c4457c65ff330d793024aa8d5f28617d0ac2f781cdfcda8369f`
- 精確候選鏈稽核 canonical-core SHA-256：`6705a3825ff6b84482e3e6de44ef76b8672bd54d67b9ea220b0983e8a9d1560c`

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。