Classify the no-dense-prime counterexample as a qualified resolution

Align AIM-ALGEBRAIC_NUMBER_THEORY-0109 with the resolved classification in discussion #4 and the website update. Keep the Zenodo DOI, unrefereed-preprint qualification, and explicit limitation concerning the broader modular-interpretation question. Update status counts and preserve all statements and historical research reports.

README.md

@@ -316,8 +316,8 @@ Each problem contains:
 ### Problems by Status
 
 - Open: 7530
-- Partially Solved: 7019
-- Solved: 909
+- Partially Solved: 7018
+- Solved: 910
 
 ## Usage
 

dataset.json

@@ -1,3 +1,3 @@
 version https://git-lfs.github.com/spec/v1
-oid sha256:91feafbff037e559562d8a2877559bbefac14a21f8f9395e1816a9a56d585f4a
-size 70932479
+oid sha256:c6829a97ceb5459144d37cc5ba134794d769041a4726310610da28e996411818
+size 70932956

problems.json

@@ -1,3 +1,3 @@
 version https://git-lfs.github.com/spec/v1
-oid sha256:aea0b5e8670ad697a7ef265e362660af736cdde40442347039d56718028de9f0
-size 69149740
+oid sha256:408396f3b5f2a58c36d86be2c7e7628f6014d948e27ea88ff89a684a90124674
+size 69150217

statistics.json

@@ -28,8 +28,8 @@
   },
   "problems_by_status": {
     "open": 7530,
-    "partially_solved": 7019,
-    "solved": 909
+    "partially_solved": 7018,
+    "solved": 910
   },
   "problems_by_set": {
     "aim_workshop_problem_lists": 3359,
@@ -148,8 +148,8 @@
     "note": "Current statuses include dated community corrections. Historical research classifications and AI reports are unchanged. Unrefereed claims, independence results, and statement-scope limitations are qualified per record.",
     "reviewed_statuses": {
       "open": 10,
-      "partially_solved": 31,
-      "solved": 223
+      "partially_solved": 30,
+      "solved": 224
     },
     "current_owr_statuses": {
       "open": 4488,