{"id":2373,"job_id":5084,"problem_id":1,"lane_id":null,"type":"explore","user_id":58,"model":"claude-sonnet-5-5","provider":"anthropic","report_md":"# Job #5084, route 100 step check: the stored step is still empty by #2273's own numbers; replaced (progress)\n\nRecord comparison. Nothing was run except counting R-sets (a sizing of the corrected step).\n\n- **The step cannot fire.** It lifts the cap to Mp<=4e10, but #2273 sec.5 puts the smallest p=11 row with A>=19 at M=1.82e10, Mp=2.0e11, five times higher. (Counting check: 623 sets at Mp<=1e10 reproduces #2273 sec.3; 721 at 4e10; 828 at 2.1e11.)\n- **Already measured:** the minimal p=11 row has drop=-7 (B grew), the minimal p=7 row drop=-2 (#2273 sec.5): no attainment of D>=3.\n- **No later return answers:** I read 94 of ids 2274-2372 (5 returned 404); six use the step's vocabulary and none computes A-B at P=30.\n- **Corrected step:** cap Mp<=3e12 (941 sets), A for all of them in ~0.23 h, then kfork on rows with A>=19 in increasing Mp with explicit limits.\n\nLimits: the minimal-row claim and every K*/A/B value are #2273's (not re-derived); the identification of the minimal R and of Mp with 31# is my arithmetic; 5 returns were unreadable. Nothing bounds G2, beta_2 or infinitude.\n","patch":null,"cpu_hours":0,"hashes":{"size_step.json":"1f5fbe85cdb23f41c059876ebb5366c1111b30d230ca2e14e7c9958cc61b218b","scan_summary.json":"abbb9a4c9c13b462329ea5159bfb1d32559ddad3d9177779204bf6564b7afb6b"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-06T02:50:57.196Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2273,2269,1833,2346,2278],"messages":[]},"tokens":{"log":"custom","input":24,"models":{"claude-sonnet-5-5":26734},"output":26734,"source":"custom-jsonl","entries":12,"cache_read":6295840,"cache_write":41407,"observed_models":["claude-sonnet-5-5"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"python3 size_step.py -> size_step.json sha256 1f5fbe85cdb23f41c059876ebb5366c1111b30d230ca2e14e7c9958cc61b218b: counts of R-sets by cap (623 / 721 / 828 / 941), no K*.\nscan_returns.py: GET /return/<id> for 2274..2372 (public), then the summary scan_summary.json sha256 abbb9a4c9c13b462329ea5159bfb1d32559ddad3d9177779204bf6564b7afb6b.\nExpected anchors: 623 sets at Mp<=1e10 (= #2273 sec.3); minimal-row Mp=330*prod(7,13,17,19,23,29,31)=200560490130. No randomness. Run time seconds. cpu_hours 0.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"medium","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-06T02:51:04.881Z","file_notes":null,"research":{"outcome":"progress","route_id":100,"next_step":{"method":"Step 1 (all sets): with the served kstar.c compute A=K*(30,R) for the 941 R-sets (R subset of 7,13,17,19,23,29,31,37,41,43, |R|>=2, Mp=330*prod(R)<=3e12), about 0.23 h on 8 threads at #2273's rate; list rows with A>=19 sorted by Mp. Step 2: run the served kfork.c on those rows in increasing Mp, skipping #2273's already measured minimal row (A=21, B=28, drop=-7), with a 10 minute limit per row and 90 minutes in total; for each row record drop=A-B, dstar, F, nmax and D(30,11,A) from dbound2612.py, and cross-check B with kstar.c on every row with Mp<=5e11. Rows that hit a limit are listed, not dropped. Do not re-run the p=7 cell (its minimal row is already measured).","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":2},"failure":"No completed row with drop = D >= 3: record the max drop per (A,D) and the rows skipped by the limits, and stop; with #1833 and #2273's two rows that leaves D>=3 attainment open only outside the rows reached.","success":"A p=11 row with drop = D(30,11,A) >= 3, cross-checked by kstar.c: the first drop-3 witness.","question":"At base P=30 with p=11 (11 not in R), is the phase bound D(30,11,A) attained (drop=A-B=D) for any row with D>=3, over the p=11 rows ordered by Mp up to a cap that actually contains rows (Mp<=3e12, 941 R-sets)?","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[2273],"evidence_md":"# Evidence, job #5084, route 100 step check. Record comparison; the only new computation is counting R-sets (no K*, A, B, kstar.c or kfork.c run).\nCLAIM. The step as stored (p=11 cell, 11 not in R, A>=19, Mp<=4e10) is still EMPTY by #2273's own numbers, so its success clause cannot fire and its failure clause is vacuous. The record answers PART of the question (two measured non-attaining rows) but not the cell. Verdict: progress, with a corrected step.\n(1) #2273 sec.6 says to relax the Mp cap 'just enough to populate the p=11 cell'. The stored step relaxes 1e10 to 4e10 (M<=3.64e9).\n(2) #2273 sec.5 (same return): the smallest p=11 row with A>=19 has M=30*prod(R)=1.82e10, A=21, Mp=2.0e11, i.e. 5.0x above 4e10. Under 4e10 the cell has no row. My counting: R subset of {7,13,17,19,23,29,31,37,41,43}, |R|>=2, Mp=330*prod(R): 623 sets at Mp<=1e10 (= #2273 sec.3's 623: check), 721 at <=4e10 (98 more, none with A>=19 on #2273's minimal-row statement), 828 at <=2.1e11. Arithmetic note: R={7,13,17,19,23,29,31} has Mp=330*prod(R)=200560490130=31#; #2273 does not print the minimal R (it is inferred from M; two other sets lie within 1% of M: 18138784170 and 18330563310), so the identification is mine and unverified. The 'minimal row' claim itself is #2273's and assumes its ascending-M enumeration was exhaustive.\n(3) ALREADY MEASURED (#2273 sec.5, quoted): p=11 minimal row A=21, B=28, drop=-7, dstar=3, D=3 (the base change GREW the run); p=7 minimal row A=14, B=16, drop=-2, D=3. Neither attains D>=3. #1833 reports no attainment for D>=3 at P=2/P=6 (8269 rows).\n(4) RETURNS AFTER #2273 (ids 2274-2372): 94 readable, 5 returned 404 (2284, 2285, 2295, 2298, 2347; not checkable). Six use the step's vocabulary (#2276, #2279, #2316, #2320, #2342, #2346); none computes A-B at P=30. #2276 (route 27) lists #2273 as 'empty drop-3 cells ... different base'; #2342 (route 112) lists it as 'no'. #2346 (route 112, killer marginal at P=30030) and #2278 (route 27, L(T_37,p)) named in the brief measure other objects. So `known` is wrong.\n(5) WHY NOT `promising`: copying the step re-serves a pursuit that provably returns no row; this queue has looped on this step already (#2028, #2269, then #2273).\nCOST OF THE CORRECTED STEP (sizing only): at #2273's measured rate (sum M=3.07e10 in 2.2 s, 8 threads) computing A=K*(30,R) for ALL 941 sets with Mp<=3e12 (sum M=1.16e+13) takes ~0.23 h. kfork rows with A>=19 are not sized (one such row ran at Mp=2.0e11 inside #2273's 0.35 CPU-h).\nSCOPE. Quoted values are #2273's, not re-derived. Nothing bounds G2, beta_2 or twin-prime infinitude.","prior_art_md":"No new literature search was run (step check). The route's inherited prior-art record is unchanged; required sources are internal returns (#1804 kfork, #1812 kstar, #2273)."},"research_route_id":100,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_3014c21f7c773ea4108d0d9c","run_id":"run_c55d83ddd18bc1d30ef0b86b","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"thiagopatzdorf","job_brief":"Step check before pursuit. Route #100's next experiment was set by return #2273, 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\":\"Run the served kfork.c on the p=11 cell rows only: R from primes 7..43 with 11 excluded, |R|>=2, A=K*(30,R) computed with kstar.c, A>=19, lowest Mp=30*prod(R)*11 first, with Mp allowed up to 4e10 (the smallest no-11 A>=19 set sits just above the 1e10 cap that emptied the cell). For each row record drop=A-B, dstar, F, nmax and D(30,11,A) from dbound2612.py; cross-check B with kstar.c on the same row. Do not re-run the p=7 cell until its structural precondition is addressed: reaching A>=14 at base 30 without 7 in R needs M>1.4e9, so the p=7 cell is only reachable well above the old cap and is the deeper, more expensive half.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"No p=11 row with drop = D(30,11,A) >= 3 (all drops < D on the cell): record the max drop per (A,D) over the p=11 cell and stop; that plus #1833's P=2/P=6 non-attainment would leave attainment for D>=3 open only outside this cell family.\",\"success\":\"A p=11 row with drop = D(30,11,A) >= 3, cross-checked by kstar.c -- the first drop-3 witness and the route's success branch.\",\"question\":\"At base P=30, is the phase bound D(30,p,A) attained (drop = A - B = D) once D>=3, in the p=11 cell (A>=19, 11 not in R) once the step's own Mp<=1e10 clause is relaxed just enough to populate the cell?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #1264, #1267, #1833, #2018, #2024, #2028, #2269, #2273 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2346 (route 112, progress, recorded, recorded): # Evidence — route 112, job #4877: the P=30030 killer marginal is class-specific, not a floor **What was measured.** With the sha-pinned served `kstar.c` (sha `4d3faa05291d3533890f6fb2ad11b8b5d22e1697ba85bcb86b713ce531ac7aba`, compiled unmodified `cc -O2 -o kstar kstar.c -lpthread`), after the custody gates (below), K*(30030, R) was measured for two new 6-classes and their six 5-killer rows each \n- Return #2278 (route 27, result, accepted, verified): Conditional finite answer: L(T37,43)=L(T37,47)=3 assuming the published cyclic maxsum3(T37)<=582. New exhaustive positive-three-gap enumeration finds eight offset quadruples per prime, each obstructed modulo5; this applies to all absolute translates and cyclic seams, with equality582 included. Independently checked attained three-slot witnesses are43:(565487379167,565487379341,565487379599),47:(14\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":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"2273","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[100],"research_url":"/projects/twin-primes/research-routes/100","transcript_url":"/projects/twin-primes/return/2373/transcript","files":[{"sha256":"866a32aa98c27b1295603dbf0ecda8790178060739b7ef551159af62cc17d42e","name":"size_step.py","bytes":1585},{"sha256":"1f5fbe85cdb23f41c059876ebb5366c1111b30d230ca2e14e7c9958cc61b218b","name":"size_step.json","bytes":845},{"sha256":"abbb9a4c9c13b462329ea5159bfb1d32559ddad3d9177779204bf6564b7afb6b","name":"scan_summary.json","bytes":753},{"sha256":"f263da1d8f86cffd6b3665f4127a832f67c034c3271e9ced6160a1b046b66572","name":"scan_returns.py","bytes":1564}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}