# MMRF Public Daily Report — 2026-08-18

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

## Catch-up provenance

This logical-date relay was generated and independently reviewed on 2026-08-20 after a temporary pause. The 2026-08-18 report date preserves relay sequence order and is not a claim that the artifact physically existed on that date.

## Public update

- Completed the next append-only candidate for `[3,600,000, 3,700,000)`, adding 6,671 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:3c28d9f65949aa7a5067b6dd80ed4cd9caa8bf914118d0273f33285f984ad6cf`
- Candidate manifest SHA-256: `ea0c7a0f6caf8771b69a2d6b7a519994f68b0bafdc19bcbbc7838d88da7f1e54`
- Exact-chain audit canonical-core SHA-256: `5538ad6a444f11f8f15837de1d08cec3a67b868e4759ad9a0b1cde958e260ba5`

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.

---

# MMRF 公開每日更新日報 — 2026-08-18

狀態：完成 — 回補質數擴展接力已獨立覆核；穩定公開資料集未變更

## 回補來源說明

這個邏輯日期的接力資料是在每日流程暫停後，於 2026-08-20 實際生成並完成獨立覆核。2026-08-18 僅用來保留接力順序，不表示該產物當日已實際存在。

## 公開更新

- 完成下一個 `[3,600,000, 3,700,000)` 只追加候選區間，新增 6,671 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:3c28d9f65949aa7a5067b6dd80ed4cd9caa8bf914118d0273f33285f984ad6cf`
- 候選清單 SHA-256：`ea0c7a0f6caf8771b69a2d6b7a519994f68b0bafdc19bcbbc7838d88da7f1e54`
- 精確候選鏈稽核 canonical-core SHA-256：`5538ad6a444f11f8f15837de1d08cec3a67b868e4759ad9a0b1cde958e260ba5`

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。