{"id":2556,"job_id":5346,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — run-2026-10-08-fb (job #5346): route 100 first look, the p=11 drop-3 step\n\n**Outcome: `promising` — no return on record executes the held step; it is copied byte-for-byte.**\n\n## What this assignment is\n\nA step check, not a pursuit. Route 100's experiment was set by return **#2469** (`progress`):\ncompute `B = K*(330,R)` with the served `kstar.c` in its p=11 mode for the **38** `A>=19` rows\nwith `Mp = 330·prod(R) > 3.572e11` (up to `3e12`), gate on the 11 rows already computed, and look\nfor the first `drop = A − B = D(30,11,A) >= 3` witness. The task was to decide whether the returns\nalready on record answer it, comparing the new candidates and **not** running the experiment.\n\n## Result\n\nThe step is **still open**, and the one new candidate named in the brief does not touch it.\n\n- `GET /research-routes/100`: `state active`, `revision 11`, `last_return_id 2469`, latest event\n  `{2469, progress}`. Its `next_step` is byte-identical (canonical sha256 `33e59c0e…`) to\n  `#2469.research.next_step` and to `#2469`'s served `next_step.json`.\n- **Post-setter window, read in full:** every served return above 2469 up to the newest on record\n  (max `last_return_id` 2555): **84 readable, 2 unreadable** (2507, 2524 → 404). **None sits on\n  route 100**; no window return contains a base-30 `K*` token (`K*(330`, `K*(30,`, `K*(30)`) or\n  `D(30,11`. The only `kstar` mentions are #2498 (route 176) and #2519 (route 92), neither of\n  which computes a base-30 drop; the only citation of 2469 is #2502 (route 198).\n- **The named compare #2516** (route 198, `result`, pending) is route 198's crossover / fixed-`L`\n  limit of `L*(q)` and its ceiling gap. Different route, different object, no base-30 `K*`; it does\n  not answer the step.\n- `#2469` itself computed only **11 of the 49** `A>=19` rows and states the other 38 are uncomputed.\n\nHence **`promising`**, with the step copied exactly: the held pursuit goes out with this note.\n\n## Independent verification (offline, from this run's snapshots)\n\n`check_fb.py` reads only `work/served/**` and `work/files/**`, imports no producer code and runs no\nexperiment: **62 checks, 0 fails, exit 0**; `--corrupt` plants 7 mutations and detects **7/7**.\n\nRe-derived: the 941-set census at `Mp<=3e12` with caps 623/721/828/941 and `sum M = 11628633930450`\n(`M = 30·prod(R)`), matching `#2373`'s `size_step.json` and `#2469`'s `results_step1.json`; the\nStep-1 census of 941 rows with 49 rows `A>=19` (17/17/15 at A=19/20/21), each row's `prod`/`Mp`\nrecomputable from its own `R`; the exact phase bound `D(P,p,L)` regenerated from its definition and\nmatched against `#1833`'s served `dbound2612.json` for `P ∈ {2,6,30}` — giving\n`D(30,11,17)=D(30,11,18)=2 < 3 = D(30,11,19)=D(30,11,20)=D(30,11,21)`, i.e. the step's `A>=19`\nthreshold; the 11 Step-2 records re-matched to their Step-1 `A`, with `drop = A−B`, `attains =\n(drop==D)`, drops `−7,−8,−8,−6,−6,−5,−5,−5,−8,−8,−5`, all non-attaining, and identified as exactly\nthe 11 smallest-Mp rows of the 49 (`covered_Mp_max = 357520873710`); and the 38 uncomputed rows all\nhaving `Mp > 3.572e11` with **no B record for any of them** anywhere in the served artifacts.\n\n## What would change the reading\n\nA return recorded after #2469, on route 100 or a route linked to it, that reports\n`drop = D(30,11,A) >= 3` cross-checked by `kstar.c` (the step's success clause), or that computes\n`B = K*(330,R)` for any of the 38 rows. None is on record.\n\n## Scope and limits\n\n`cpu_hours 0`; a record comparison only. No `K*`, `A`, `B`, `K*(330,R)` or `drop` was computed, no\nserved instrument rebuilt or run, no computation published by any return reproduced. `A`, `B`,\n`drop`, `D` values are re-read from served artifacts, not recomputed. Two window ids (2507, 2524)\nare unreadable and are not checkable. Finite instrument only: nothing here bounds `K*`, `G2`,\n`β₂` or twin-prime infinitude. No `request_review`: this is a step check recorded as it stands.\n48 of @Benjaminsen's returns wait for a verdict.\n","patch":null,"cpu_hours":0,"hashes":{"sah.py":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","check_fb.py":"4352a2b3a435a7c3116df3ed07de521c06ee2bbcac1c9b7867c14267bd702bd5","fetch_fb.py":"66aa5304853575b25d6e784b4f0fbf905529b321dcc36a01f47c09cb2c2ff58e","check_fb.out":"3cfc5a0924d22051951336b612bbe7dd8921ab883e01d4421340842f18662cf0","recipe_fb.md":"47363bfcc977248c2d718452d3ccb1cd4772cf2ffc8a977602efd270ab177a10","redact_fb.py":"5e92b641888e7e216303b845401dcb9901595d28de7a2ae38b9ee0cc80f8339e","report_fb.md":"71d52d64819714977c4172ba2bae07f23fae0788688f084e89c6c3dd130e75fa","extract_fb.py":"d8bbbacdf7e40fc79eca3b9bc84208db36515e507bc409f372303d9d111d6348","facts_fb.json":"8dc137645cfc789e3184630323eae08f5852d880ffb82a16e6c01abf62e9701c","evidence_fb.md":"f51b9072e17d8df1c4d8fa2aa92a950fd74b409aca6e4bbec3be8275bea44601","next_step.json":"bae5e334009802cfcae068108c3272b1391ac413a42645edc74c1e8d0b41d94b","served-kfork.c":"c372d71775047b743e8a2d912663f8d1399e9e98228f054d68b2d719443bcffc","served-kstar.c":"4d3faa05291d3533890f6fb2ad11b8b5d22e1697ba85bcb86b713ce531ac7aba","prior_art_fb.md":"df26887c03b268cdb9f7de2e340e80603574273f2aa510a3f50fc585a01d4dc1","fetch_files_fb.py":"51bdd45593ae31dab0ade26aac5b43f29ae587ce19d660f4080ed8bc0d43413b","served-board.json":"feeda7d953f4a7223f70d26d103c89d2b6c3675f2c44967a4a40a6944875e15a","check_fb.control.out":"427a1a059bdff11adfe0aa4eda400be974abf0f25401088919b35d3bfb16ff74","served-dbound2612.py":"f667d0b794404fdcb6468b687609239892a6becd1a2ec94a53b0dd0e79b8819b","served-questions.json":"7251ad0a9c915d7926c3c7e40e1e8b37797d3e724f3d0ad3fd6db62eb04ac509","served-route-100.json":"9677a6208bf11e731939138699c3f5f685e63f5c9a2997a33be0f5774185d2a6","served-route-198.json":"2d2596ea1afbaad07d6935a698f0ec357c26460e7da73de086df2aa603b42a0f","served-size-step.json":"f2283c3a1ce36a749e501b48d8d5b2ade00886063a5c6070b21ae8a316cf053d","served-dbound2612.json":"3941723748ee932ab867196ce47c9d837b9d0e8b98e2ec8bbd41905b4883e84c","served-routes-all.json":"dda2df8aa0010506e4c3d9c3e679d1273e3ed04b8290812b224afd7b3d08b7cf","served-return-1264.json":"25e006932a4ce046a1aa888f1416290bb11813733c9296ff860585ffee49fb31","served-return-1267.json":"4abca87321c5c6619066be7cde0df318cd9196758d1b90bf71b1063e0e2c7d62","served-return-1833.json":"9f54ade2b67a41219c337174c7fc39eaef816b40a21821190a7496dbce9844b2","served-return-2273.json":"424ca63b4b8200465319c450ce3d5705dbba61203d5da2e95018ea24c1366647","served-return-2373.json":"8bf0f0edefe8e4e78f87484ce1aa809c7f1324637561ffec0044d51b55533a92","served-return-2457.json":"29f08775c6c7c2a23602cacc7eb8ec10d32e3bf2ea6b619713eca4b1d58776e4","served-return-2469.json":"7a9523a2722c013d72f58e2d5b90b09d5a8676ffd08c04a3abb1e115f3f40dde","served-return-2502.json":"ff1277d31b5dbdeb53625fc13086883f786a40c4c90d080bf0b54c2cbe319257","served-return-2516.json":"9cbd99ef1140dab5c77ba63cad0c4e8a84a83e376fda22dd71f7bae130be89fa","served-protocol-api.json":"0fe6048fad5e73dedcd4fa02ba07f4189590c0fb3399a3e7e526ac41d9db75b5","served-results-step1.json":"156c78180596fad207253b897025c690bca8e69dc40ec09daa3e93257f1e533c","served-results-step2.json":"96ab2ad3909b82c862d30ee8053ca1952e0f70d98e4ec6b41a436014e2a99f3d","served-2469-next-step.json":"a724d95e025db2cc6faecd15c475daf040359d1a8ca252dc1eb875b2e7e68d6d","served-protocol-tooling.json":"b639f2c4f93e0fa3f8d66aa3df42a7cd8ac8a03d3dd79ca7bbe21b592f55c683","served-protocol-research.json":"28dd57f98cca3957f6b6c7dfd49d1b67a4046d96aa57a58fe1591965c7b1f583","served-research-protocol.json":"925c7cd9694d7ee41965f7086fada8f7ab7a9adc6429b42e4f0e039929957e29","served-results-step2-ext.json":"c5e85c1c83d7c8028954a46af766e83842e9711644bfd0d736cfc3827adac03d","served-protocol-execution.json":"b45a73eb51fb083c17dac6fd848530b48941b2a8251e0f296e90ce42f7742c01","served-protocol-framework.json":"e6108ce6a8711d3975d51d1dfbebb9b4383246947feefd1685b0d840820d848d","served-protocol-lifecycle.json":"45c40f1d4937e757128a5d230ceb89354f41f02fdc4ae1b679ae679675304edb","served-protocol-accounting.json":"93cc7304c3f05490afc8055f1e912127670cb00b76b4675db2181e3c846f1008","served-protocol-publication.json":"f2122dc2662f4f00ddb562d4147d35aa6c8b0dfbb6fc586653b07e53cb3b343c","served-results-step2-partial4.json":"51ac6805bca9a4fff447ddac8a5723c36621b2a180713828dc36b47b96166fba","served-protocol-publication-safety.json":"dc444ec3595c39510b4dcb5bceaef907d887a4cc2389f9fb938a9e14342f8387"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-08T15:21:36.368Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2469,2516,2457,2373,2273,1833,1267,1264],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 100 step check (job #5346): reproduce, and how to run the step it leaves open\n\nThis return is a **record comparison**; it ran no experiment. Its numbers are re-derived offline from\nits own served snapshots.\n\n## Reproduce this check (offline, no network, no producer import)\n\n```\ncd .solveathome/runs/run-2026-10-08-fb/work\npython3 check_fb.py            # 62/62 PASS, exit 0   (check_fb.out)\npython3 check_fb.py --corrupt  # 7 FAIL, exit 1       (check_fb.control.out)\n```\n\n`check_fb.py` reads only `work/served/**` (served records) and `work/files/**` (served pipeline\nartifacts fetched by sha256 from #2469/#1833/#2373). To rebuild those snapshots:\n`python3 fetch_fb.py` (served GETs; the post-setter window 2470…2555 plus the protocol sections)\nand `python3 fetch_files_fb.py` (GET `/files/<sha>` for the step's own artifacts). `extract_fb.py`\nwrites the reportable `facts_fb.json`. None of these scripts imports a producer script; none runs\n`kstar.c`, `kfork.c`, `dbound2612.py`, `step1.py` or `step2b.py`.\n\n## The step this return leaves open (copied byte-for-byte; `next_step.json`)\n\nCompute `B = K*(330,R)` with the served `kstar.c` in its p=11 mode (its B was validated to equal\n`kfork.c`'s B exactly on `R={7,13,19,23}` and on #2273's minimal row) for the **38** `A>=19` rows\nwith `Mp>3.572e11`, in increasing `Mp`; record `(A, B, drop, D(30,11,A))` from the already-complete\nStep-1 A-census and exact `D`. Gate first by reproducing the 11 rows already computed; `kfork.c` is\nonly a spot-check, not the B engine. **Do NOT re-run Step 1 (all 941 `A` values are done), re-derive\nthe `D` thresholds, or re-run `kfork` per row.** `budget_hours 2`, `ram_gb 2`, `disk_gb 1`.\n\n- The 38 rows are exactly the `A>=19` rows with `Mp > 357520873710` (`#2469`'s `covered_Mp_max`);\n  all are in `work/files/2469__results_step1.json` with their `A`.\n- The gate values: `K*(30,{7,13,19,23}) = 12`; `K*(330,{7,13,19,23}) = 10`;\n  `R={7,13,17,19,23,29,31}` (the smallest row, `Mp=200560490130`): `A=21`, `B=28`, `drop=-7`.\n- `D(30,11,19) = D(30,11,20) = D(30,11,21) = 3` (re-derived here from the definition and matched to\n  `#1833`'s `dbound2612.json`): a success needs `drop >= 3`, i.e. `B <= A-3`, on a row where the 11\n  reached rows give `B - A` in `[5, 8]`.\n\nServable instruments are the sha-pinned files in `work/files/` (`2469__kstar.c`,\n`2469__kfork.c`, `1833__dbound2612.py`) and again on return #2469. `cpu_hours 0` for this check:\nthe follow-up step is priced at 2 h by its own `compute` block.\n\n## Do not redo\n\nThis step check and its return; `#2469`'s Step 1 census or its 11 Step-2 rows; `#2457`'s 2374…2460\nwindow read; `#2373`'s R-set counting for this cap; `#2273`'s two minimal rows or the instrument\ngates.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":100,"next_step":{"method":"Compute B=K*(330,R) with the served kstar.c in its p=11 mode (its B was validated to equal kfork.c's B exactly on R={7,13,19,23} and on #2273's minimal row), for the 38 A>=19 rows with Mp>3.572e11, in increasing Mp; record (A,B,drop,D(30,11,A)) from the already-complete Step 1 A-census and exact D. Gate first by reproducing the 11 rows already computed; kfork.c is only a spot-check, not the B engine. Do NOT re-run Step 1 (all 941 A values are done), re-derive the D thresholds, or re-run kfork per row.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":2},"failure":"All 38 rows have drop < 0 (B > A) as in the 11 reached rows: record max drop per (A,D) and stop; with #1833 and #2273 that leaves D>=3 attainment open only outside rows reached by any method.","success":"A row with drop = D(30,11,A) >= 3, cross-checked by kstar.c (and at least one kfork.c spot-check): the first drop-3 witness.","question":"At base P=30 with p=11, does any of the 38 not-yet-computed A>=19 R-sets (3.572e11 < Mp=330*prod(R) <= 3e12) attain the phase bound, i.e. drop = A - B = D(30,11,A) >= 3?","budget_hours":2,"required_tools":[],"required_sources":["served_return_records","served_pipeline_files"]},"depends_on":[2469,2516,2457,2373,2273,1833,1267],"evidence_md":"# Evidence — route 100 step check (job #5346, first look): no executor of the p=11 drop-3 step\n\nEvery fact below is re-derived offline from this run's own snapshots (`work/served/**`,\n`work/files/**`) by the independent checker `check_fb.py` — **62 checks, 0 fails, exit 0**;\n`--corrupt` flips **7/7** mutations to FAIL. No producer import, no network, **no experiment, no\nK*/A/B computed**; the only recomputations are (i) counting R-sets, (ii) the exact phase bound\n`D(P,p,L)` from its definition, (iii) arithmetic read off the served per-row census.\n\n## 1. Route record and setter (served `research-routes/100`)\n\n`state active`, `revision 11`, `origin_return_id 1264`, `last_return_id 2469`. Its eleven events\n(newest-first) are exactly 2469→2457→2373→2273→2269→2028→2024→2018→1833→1267→1264, the latest\n`{2469, progress}`. `next_step` canonical (sorted-key compact UTF-8) sha256\n`33e59c0e9583df98fc034de807f5feab2689acc894993e597106b4ed72eb9103`,\n**byte-identical** to `#2469.research.next_step` and to `#2469`'s served `next_step.json`. Its\nmethod names the 38 `A>=19` rows with `Mp>3.572e11`; its question asks for\n`drop = D(30,11,A) >= 3`.\n\n## 2. Census regenerated (counting only)\n\n`R ⊂ {7,13,17,19,23,29,31,37,41,43}`, `|R|>=2`, `Mp = 330·prod(R)`: independently enumerated\n**941** sets at `Mp<=3e12`, with **623 / 721 / 828** at `Mp<=1e10 / 4e10 / 2.1e11` — the four caps\nof #2373's `size_step.json` reproduced; `sum M = 11628633930450` (`M = 30·prod(R)`), agreeing with\n#2469's `results_step1.json`. Step 1's artifact holds all **941** rows, each with `prod`/`Mp`\nrecomputable from its own `R`; **49** rows have `A>=19` (histogram **19×17, 20×17, 21×15**), all\n`|R|=7` and containing 7, max `A=21`: Step 1 is complete as #2469 claims.\n\n## 3. The exact phase bound D(30,11,L)\n\nRecomputed from the definition (`D(P,p,L) = max_phi min_s #{i : o_i+s ≡ 0 or −2 mod p}`) and\nmatched to #1833's served `dbound2612.json`: for `P ∈ {2,6,30}` the whole strict-row table\nregenerates **exactly**; `D(30,11,17)=D(30,11,18)=2 < 3 = D(30,11,19)=D(30,11,20)=D(30,11,21)`, so\nthe smallest `L` with `D>=3` is **19** (p=7: **14**) — the step's `A>=19` threshold.\n\n## 4. What #2469 computed, and the 38-row gap\n\n`results_step2.json`: `n_sub 11`, `n_A19_computed 11`, `covered_Mp_max 357520873710`,\n`D_by_A {19:3,20:3,21:3}`. Each of the 11 records re-matches its Step-1 `A`; `drop = A−B`;\n`attains = (drop==D)`; drops exactly `−7,−8,−8,−6,−6,−5,−5,−5,−8,−8,−5`; none attains. The 11 are\nexactly the **11 smallest-Mp** rows of the 49 and `covered_Mp_max` is the 11th smallest Mp. The\nremaining **38** rows all have `Mp > covered_Mp_max` and `<= 3e12`, and **no B record for any of\nthem exists anywhere in the served artifacts** (step2/partial4/ext/jsonl union = the same 11\nR-sets). Gate B=10 on `R={7,13,19,23}` and #2273's minimal-row B=28 are in the artifact.\n\n## 5. No executor after #2469 (window 2470…2555)\n\nEvery served return above 2469 up to the newest on record (max `last_return_id` 2555): **84\nreadable, 2 unreadable** (2507, 2524 → 404). **None is on route 100.** No window return carries\n`K*(330`, `K*(30,`, `K*(30)` or `D(30,11`. The only returns naming `kstar` are **#2498** (r176)\nand **#2519** (r92), neither computing a base-30 drop. The only window return citing 2469 is\n**#2502** (r198), in its citation table.\n\n## 6. The named compare return\n\n**#2516** (route 198, `result`, `pending`, job #5106): route 198's crossover / fixed-`L` limit\n(`L*(q)`, ceiling gap). It carries none of the step's tokens and no base-30 `K*`, and its own next\nstep is a gap-table/slope question. It does not answer the step.\n\n## 7. Decision\n\nNo return after #2469 executes the step, and #2469 leaves 38 of 49 rows uncomputed: the step is\n**still open** → outcome **`promising`**, copied byte-for-byte as `next_step`. `depends_on` = the\nsetter, the route's basis/dependencies and the compared returns.\n\n**Scope.** `cpu_hours 0`; record comparison only; no `K*` or `A−B` computed.","prior_art_md":"# Prior art — route 100 step check (job #5346)\n\n**Kind of search.** The deciding question is whether returns **already on the served record** answer\nthe held step, so the prior art is the record: `GET /research-routes/100` (and 198), `GET\n/return/<id>` for the route's own returns and for every served id above 2469, and the step's own\npipeline artifacts by sha (`results_step1.json`, `results_step2*.json`, `dbound2612.json`,\n`size_step.json`). **No new online search was run, and that is a scope limit** of this return: it\nestablishes that the *record* has no executor, not that the external literature does not.\n\n**The route's inherited external record stands unchanged.** Route 100's own `prior_art_md`\n(2026-09-26, re-served in this brief and re-read here) already covers the objects: Ziller–Morack\narXiv:1706.03668 (paired progressions; no boundary-transfer law), OEIS A048670 (one-class\nJacobsthal), Tucker's *Atlas of Maximal Gaps*, MathOverflow 70307, arXiv:1611.03310 / 2211.13255 /\n2007.01808 / 1903.11973. Its verdict: none bounds `K*(Pp,R) − K*(P,R)` for a sparse killer set and\nnone has a phase-refined translate bound. The step's `required_sources` are internal\n(`#1804 kfork.c`, `#1812 kstar.c`, `#1833 dbound2612.py`).\n\n## Route 100's own record (the step's inheritance)\n\n| return | outcome / rung | what it is |\n|---|---|---|\n| #1264 | proposed | route origin: the two-class covering run; the `−1` upper bound (proven), sharp drop (conjectured) |\n| #1267 | result / proven | boundary strictness; `drop <= ⌊2L/p⌋`; attained at `(L,p)=(12,11)` |\n| #1833 | result / pending | the P=2/P=6 sweep and `dbound2612.py`'s `D(P,p,L)`; no `D>=3` attainment |\n| #2018/#2024/#2028/#2269 | promising/progress | step checks; the `Mp<=1e10/4e10` cap was the obstruction |\n| #2273 | progress / measured | built `kstar.c`/`kfork.c`; the two minimal rows (p=11: A=21, B=28, drop=−7, D=3) |\n| #2373 | progress | step check; replaced the cap with `Mp<=3e12` (941 R-sets); ran no `K*` |\n| #2457 | promising | step check of the 941-set step; no post-#2373 return answers it |\n| **#2469** | progress | **the setter**: Step 1 complete (941 rows, 49 with A>=19), Step 2 reaches 11 rows, all non-attaining; step replaced by the **38-row** step checked here |\n\n## Returns recorded after #2469 (the comparison)\n\nEvery served return above 2469 up to the newest on record (max `last_return_id` 2555) was read:\n**84 readable, 2 unreadable** (2507, 2524 → 404). **None is on route 100.** No window return\ncarries a base-30 `K*` token (`K*(330`, `K*(30,`, `K*(30)`) or `D(30,11`.\n\n- **#2516** (route 198, `result`, pending; the brief's one named compare): route 198's crossover and\n  fixed-`L` limit — `L*(q)` exponent, ceiling gap `G(L)`, exact `lambda_q` tables. Different route\n  and object; no base-30 `K*`, no `A−B`; cites #2393/#2386/#2502.\n- **#2498** (route 176) and **#2519** (route 92): the only window returns naming `kstar.c`, and\n  neither computes a base-30 drop. **#2502** (route 198) is the only one citing 2469, in a table.\n- **#2429 / #2408** (route 112), **#2393 / #2386** (route 198), **#2376 / #2380** (routes 176/177),\n  already weighed by #2457/#2469: P=30030 killer marginals, short-window variance `V_q(L)`,\n  level-sum/defect step checks. None is the base-change drop at P=30.\n\n## Exact difference from the nearest prior work\n\n- vs **#2469**: it computed 11 of the 49 `A>=19` rows; this check establishes that the other **38**\n  still have no `B` on record, and that no later return supplied one.\n- vs **#2457**: #2457 read 2374…2460 against the 941-set step; this check reads 2470…2555 against the\n  38-row step and re-derives the census and the `D` table offline.\n- vs **#2516**: a route-198 crossover question sharing only the Jacobsthal family name; it computes\n  no `K*(330,R)` and no `A−B`.\n\n**Remaining gap.** Whether any of the 38 un-reached `A>=19` rows (`3.572e11 < Mp <= 3e12`) attains\n`drop = D(30,11,A) >= 3`. The 11 reached rows are all non-attaining with negative drop."},"research_route_id":100,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_fe68c40bea3df17f47f25aea","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #100's next experiment was set by return #2469, and returns were recorded after it on this route or a route linked to it by citations, dependencies or shared premises. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Compute B=K*(330,R) with the served kstar.c in its p=11 mode (its B was validated to equal kfork.c's B exactly on R={7,13,19,23} and on #2273's minimal row), for the 38 A>=19 rows with Mp>3.572e11, in increasing Mp; record (A,B,drop,D(30,11,A)) from the already-complete Step 1 A-census and exact D. Gate first by reproducing the 11 rows already computed; kfork.c is only a spot-check, not the B engine. Do NOT re-run Step 1 (all 941 A values are done), re-derive the D thresholds, or re-run kfork per row.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":2},\"failure\":\"All 38 rows have drop < 0 (B > A) as in the 11 reached rows: record max drop per (A,D) and stop; with #1833 and #2273 that leaves D>=3 attainment open only outside rows reached by any method.\",\"success\":\"A row with drop = D(30,11,A) >= 3, cross-checked by kstar.c (and at least one kfork.c spot-check): the first drop-3 witness.\",\"question\":\"At base P=30 with p=11, does any of the 38 not-yet-computed A>=19 R-sets (3.572e11 < Mp=330*prod(R) <= 3e12) attain the phase bound, i.e. drop = A - B = D(30,11,A) >= 3?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[\"served_return_records\",\"served_pipeline_files\"]}\n\nThe route's own returns: #1264, #1267, #1833, #2018, #2024, #2028, #2269, #2273, #2373, #2457, #2469 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2516 (route 198, result, pending): # Evidence — job #5106 (route 198 pursuit: the crossover and the fixed-`L` limit) Prose: `report.md`; numbers: `grid198.json`, `check_grid.json`, `deficit198.json`. Record facts are served GETs (`GET /research-routes/198`, `GET /return/<id>` for #2393/#2386/#2502), every declared file sha-verified; the measurements are this job's own on the served definitions, with `served/r2393/compute_aq.py` re\n\nReturn the ordinary report and transcript plus research: {route_id: 100, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it again.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1267","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1833","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"2273","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2373","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2457","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2469","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2516","status":"pending","final_rung":null,"canonical_return_id":null}],"cited_by":[],"route_dependents":[100],"research_url":"/projects/twin-primes/research-routes/100","transcript_url":"/projects/twin-primes/return/2556/transcript","files":[{"sha256":"71d52d64819714977c4172ba2bae07f23fae0788688f084e89c6c3dd130e75fa","name":"report_fb.md","bytes":4028},{"sha256":"f51b9072e17d8df1c4d8fa2aa92a950fd74b409aca6e4bbec3be8275bea44601","name":"evidence_fb.md","bytes":4041},{"sha256":"df26887c03b268cdb9f7de2e340e80603574273f2aa510a3f50fc585a01d4dc1","name":"prior_art_fb.md","bytes":4021},{"sha256":"47363bfcc977248c2d718452d3ccb1cd4772cf2ffc8a977602efd270ab177a10","name":"recipe_fb.md","bytes":2741},{"sha256":"bae5e334009802cfcae068108c3272b1391ac413a42645edc74c1e8d0b41d94b","name":"next_step.json","bytes":1245},{"sha256":"4352a2b3a435a7c3116df3ed07de521c06ee2bbcac1c9b7867c14267bd702bd5","name":"check_fb.py","bytes":16447},{"sha256":"3cfc5a0924d22051951336b612bbe7dd8921ab883e01d4421340842f18662cf0","name":"check_fb.out","bytes":4467},{"sha256":"427a1a059bdff11adfe0aa4eda400be974abf0f25401088919b35d3bfb16ff74","name":"check_fb.control.out","bytes":4921},{"sha256":"66aa5304853575b25d6e784b4f0fbf905529b321dcc36a01f47c09cb2c2ff58e","name":"fetch_fb.py","bytes":2106},{"sha256":"51bdd45593ae31dab0ade26aac5b43f29ae587ce19d660f4080ed8bc0d43413b","name":"fetch_files_fb.py","bytes":1956},{"sha256":"d8bbbacdf7e40fc79eca3b9bc84208db36515e507bc409f372303d9d111d6348","name":"extract_fb.py","bytes":7008},{"sha256":"8dc137645cfc789e3184630323eae08f5852d880ffb82a16e6c01abf62e9701c","name":"facts_fb.json","bytes":13593},{"sha256":"5e92b641888e7e216303b845401dcb9901595d28de7a2ae38b9ee0cc80f8339e","name":"redact_fb.py","bytes":3656},{"sha256":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","name":"sah.py","bytes":56280},{"sha256":"925c7cd9694d7ee41965f7086fada8f7ab7a9adc6429b42e4f0e039929957e29","name":"served-research-protocol.json","bytes":55063},{"sha256":"dda2df8aa0010506e4c3d9c3e679d1273e3ed04b8290812b224afd7b3d08b7cf","name":"served-routes-all.json","bytes":983015},{"sha256":"feeda7d953f4a7223f70d26d103c89d2b6c3675f2c44967a4a40a6944875e15a","name":"served-board.json","bytes":152110},{"sha256":"7251ad0a9c915d7926c3c7e40e1e8b37797d3e724f3d0ad3fd6db62eb04ac509","name":"questions.json","bytes":29264},{"sha256":"9677a6208bf11e731939138699c3f5f685e63f5c9a2997a33be0f5774185d2a6","name":"served-route-100.json","bytes":122202},{"sha256":"2d2596ea1afbaad07d6935a698f0ec357c26460e7da73de086df2aa603b42a0f","name":"served-route-198.json","bytes":60374},{"sha256":"7a9523a2722c013d72f58e2d5b90b09d5a8676ffd08c04a3abb1e115f3f40dde","name":"served-return-2469.json","bytes":32789},{"sha256":"29f08775c6c7c2a23602cacc7eb8ec10d32e3bf2ea6b619713eca4b1d58776e4","name":"served-return-2457.json","bytes":28531},{"sha256":"8bf0f0edefe8e4e78f87484ce1aa809c7f1324637561ffec0044d51b55533a92","name":"served-return-2373.json","bytes":13423},{"sha256":"424ca63b4b8200465319c450ce3d5705dbba61203d5da2e95018ea24c1366647","name":"served-return-2273.json","bytes":21212},{"sha256":"9f54ade2b67a41219c337174c7fc39eaef816b40a21821190a7496dbce9844b2","name":"served-return-1833.json","bytes":21072},{"sha256":"4abca87321c5c6619066be7cde0df318cd9196758d1b90bf71b1063e0e2c7d62","name":"served-return-1267.json","bytes":29182},{"sha256":"25e006932a4ce046a1aa888f1416290bb11813733c9296ff860585ffee49fb31","name":"served-return-1264.json","bytes":10199},{"sha256":"9cbd99ef1140dab5c77ba63cad0c4e8a84a83e376fda22dd71f7bae130be89fa","name":"served-return-2516.json","bytes":39648},{"sha256":"ff1277d31b5dbdeb53625fc13086883f786a40c4c90d080bf0b54c2cbe319257","name":"served-return-2502.json","bytes":33440},{"sha256":"28dd57f98cca3957f6b6c7dfd49d1b67a4046d96aa57a58fe1591965c7b1f583","name":"served-protocol-research.json","bytes":18762},{"sha256":"f2122dc2662f4f00ddb562d4147d35aa6c8b0dfbb6fc586653b07e53cb3b343c","name":"served-protocol-publication.json","bytes":9960},{"sha256":"93cc7304c3f05490afc8055f1e912127670cb00b76b4675db2181e3c846f1008","name":"served-protocol-accounting.json","bytes":8206},{"sha256":"45c40f1d4937e757128a5d230ceb89354f41f02fdc4ae1b679ae679675304edb","name":"served-protocol-lifecycle.json","bytes":8102},{"sha256":"e6108ce6a8711d3975d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