diff --git a/lib/lua/runtime.sx b/lib/lua/runtime.sx
index dddbbfb4..1e13f01f 100644
--- a/lib/lua/runtime.sx
+++ b/lib/lua/runtime.sx
@@ -991,3 +991,141 @@
 (dict-set! math "modf" lua-math-modf)
 (dict-set! math "random" lua-math-random)
 (dict-set! math "randomseed" lua-math-randomseed)
+
+;; ── table library ─────────────────────────────────────────────
+(define table {})
+
+(define
+  lua-table-insert
+  (fn (&rest args)
+    (cond
+      ((= (len args) 2)
+        (let ((t (first args)) (v (nth args 1)))
+          (let ((n (lua-len t)))
+            (dict-set! t (str (+ n 1)) v))))
+      ((= (len args) 3)
+        (let ((t (first args)) (pos (nth args 1)) (v (nth args 2)))
+          (let ((n (lua-len t)))
+            (begin
+              (define
+                tbl-shift-up
+                (fn (i)
+                  (when (>= i pos)
+                    (begin
+                      (dict-set! t (str (+ i 1)) (get t (str i)))
+                      (tbl-shift-up (- i 1))))))
+              (tbl-shift-up n)
+              (dict-set! t (str pos) v)))))
+      (else (error "lua: table.insert: wrong args")))))
+
+(define
+  lua-table-remove
+  (fn (&rest args)
+    (let ((t (first args)))
+      (let ((n (lua-len t)))
+        (let ((pos (if (> (len args) 1) (nth args 1) n)))
+          (cond
+            ((<= n 0) nil)
+            (else
+              (let ((v (get t (str pos))))
+                (begin
+                  (define
+                    tbl-shift-down
+                    (fn (i)
+                      (when (< i n)
+                        (begin
+                          (dict-set! t (str i) (get t (str (+ i 1))))
+                          (tbl-shift-down (+ i 1))))))
+                  (tbl-shift-down pos)
+                  (dict-set! t (str n) nil)
+                  v)))))))))
+
+(define
+  lua-table-concat
+  (fn (&rest args)
+    (let ((t (first args))
+          (sep (if (> (len args) 1) (nth args 1) ""))
+          (i (if (> (len args) 2) (nth args 2) 1))
+          (j (if (> (len args) 3) (nth args 3) (lua-len (first args)))))
+      (cond
+        ((> i j) "")
+        (else
+          (let ((out (lua-concat-coerce (get t (str i)))))
+            (begin
+              (define
+                loop
+                (fn (k)
+                  (when (<= k j)
+                    (begin
+                      (set! out (str out sep (lua-concat-coerce (get t (str k)))))
+                      (loop (+ k 1))))))
+              (loop (+ i 1))
+              out)))))))
+
+;; Simple insertion sort for tables
+(define
+  lua-table-sort
+  (fn (&rest args)
+    (let ((t (first args))
+          (comp (if (> (len args) 1) (nth args 1) nil)))
+      (let ((n (lua-len t)))
+        (begin
+          (define
+            lt?
+            (fn (a b)
+              (cond
+                ((= comp nil) (lua-lt a b))
+                (else (lua-truthy? (lua-call comp a b))))))
+          (define
+            insert-sorted
+            (fn (i)
+              (when (> i 1)
+                (let ((v (get t (str i))) (prev (get t (str (- i 1)))))
+                  (when (lt? v prev)
+                    (begin
+                      (dict-set! t (str i) prev)
+                      (dict-set! t (str (- i 1)) v)
+                      (insert-sorted (- i 1))))))))
+          (define
+            outer
+            (fn (i)
+              (when (<= i n)
+                (begin
+                  (insert-sorted i)
+                  (outer (+ i 1))))))
+          (outer 2)
+          nil)))))
+
+(define
+  lua-unpack
+  (fn (&rest args)
+    (let ((t (first args))
+          (i (if (> (len args) 1) (nth args 1) 1))
+          (j (if (> (len args) 2) (nth args 2) (lua-len (first args)))))
+      (cond
+        ((> i j) nil)
+        (else
+          (let ((out (list (quote lua-multi))))
+            (begin
+              (define
+                loop
+                (fn (k)
+                  (when (<= k j)
+                    (begin
+                      (set! out (append out (list (get t (str k)))))
+                      (loop (+ k 1))))))
+              (loop i)
+              out)))))))
+
+(define
+  lua-table-maxn
+  (fn (t) (lua-len t)))
+
+(dict-set! table "insert" lua-table-insert)
+(dict-set! table "remove" lua-table-remove)
+(dict-set! table "concat" lua-table-concat)
+(dict-set! table "sort" lua-table-sort)
+(dict-set! table "unpack" lua-unpack)
+(dict-set! table "maxn" lua-table-maxn)
+
+(define unpack lua-unpack)
diff --git a/lib/lua/test.sh b/lib/lua/test.sh
index 1cccca81..8566769a 100755
--- a/lib/lua/test.sh
+++ b/lib/lua/test.sh
@@ -804,6 +804,34 @@ cat > "$TMPFILE" << 'EPOCHS'
 (epoch 1261)
 (eval "(lua-eval-ast \"local r = math.random(5, 10) return r >= 5 and r <= 10\")")
 
+;; ── Phase 6: table library ────────────────────────────────────
+(epoch 1300)
+(eval "(lua-eval-ast \"local t = {1, 2, 3} table.insert(t, 4) return #t\")")
+(epoch 1301)
+(eval "(lua-eval-ast \"local t = {1, 2, 3} table.insert(t, 4) return t[4]\")")
+(epoch 1302)
+(eval "(lua-eval-ast \"local t = {10, 30} table.insert(t, 2, 20) return t[2]\")")
+(epoch 1303)
+(eval "(lua-eval-ast \"local t = {10, 20, 30} table.insert(t, 1, 5) return t[1] * 100 + t[2]\")")
+(epoch 1310)
+(eval "(lua-eval-ast \"local t = {1, 2, 3} local v = table.remove(t) return v * 10 + #t\")")
+(epoch 1311)
+(eval "(lua-eval-ast \"local t = {10, 20, 30} table.remove(t, 1) return t[1] * 10 + t[2]\")")
+(epoch 1320)
+(eval "(lua-eval-ast \"local t = {\\\"a\\\", \\\"b\\\", \\\"c\\\"} return table.concat(t)\")")
+(epoch 1321)
+(eval "(lua-eval-ast \"local t = {\\\"a\\\", \\\"b\\\", \\\"c\\\"} return table.concat(t, \\\"-\\\")\")")
+(epoch 1322)
+(eval "(lua-eval-ast \"local t = {1, 2, 3, 4} return table.concat(t, \\\",\\\", 2, 3)\")")
+(epoch 1330)
+(eval "(lua-eval-ast \"local t = {3, 1, 4, 1, 5, 9, 2, 6} table.sort(t) return t[1] * 100 + t[8]\")")
+(epoch 1331)
+(eval "(lua-eval-ast \"local t = {3, 1, 2} table.sort(t, function(a, b) return a > b end) return t[1] * 100 + t[3]\")")
+(epoch 1340)
+(eval "(lua-eval-ast \"local t = {10, 20, 30} local a, b, c = unpack(t) return a + b + c\")")
+(epoch 1341)
+(eval "(lua-eval-ast \"local t = {10, 20, 30, 40} local a, b = table.unpack(t, 2, 3) return a + b\")")
+
 EPOCHS
 
 OUTPUT=$(timeout 60 "$SX_SERVER" < "$TMPFILE" 2>/dev/null)
@@ -1206,6 +1234,21 @@ check 1251 "math.modf(3.5) int part"        '3'
 check 1260 "math.random(n) in range"        'true'
 check 1261 "math.random(m,n) in range"      'true'
 
+# ── Phase 6: table library ────────────────────────────────────
+check 1300 "table.insert append → #t"       '4'
+check 1301 "table.insert value"             '4'
+check 1302 "table.insert(t,pos,v) mid"      '20'
+check 1303 "table.insert(t,1,v) prepend"    '510'
+check 1310 "table.remove() last"            '33'
+check 1311 "table.remove(t,1) shift"        '230'
+check 1320 "table.concat no sep"            '"abc"'
+check 1321 "table.concat with sep"          '"a-b-c"'
+check 1322 "table.concat range"             '"2,3"'
+check 1330 "table.sort asc"                 '109'
+check 1331 "table.sort desc via cmp"        '301'
+check 1340 "unpack global"                  '60'
+check 1341 "table.unpack(t,i,j)"            '50'
+
 TOTAL=$((PASS + FAIL))
 if [ $FAIL -eq 0 ]; then
   echo "ok $PASS/$TOTAL Lua-on-SX tests passed"
diff --git a/plans/lua-on-sx.md b/plans/lua-on-sx.md
index 4e8f7b5f..804bba48 100644
--- a/plans/lua-on-sx.md
+++ b/plans/lua-on-sx.md
@@ -70,7 +70,7 @@ Each item: implement → tests → tick box → update progress log.
 ### Phase 6 — standard library
 - [x] `string` — `format`, `sub`, `find`, `match`, `gmatch`, `gsub`, `len`, `rep`, `upper`, `lower`, `byte`, `char`
 - [x] `math` — full surface
-- [ ] `table` — `insert`, `remove`, `concat`, `sort`, `unpack`
+- [x] `table` — `insert`, `remove`, `concat`, `sort`, `unpack`
 - [ ] `io` — minimal stub (read/write to SX IO surface)
 - [ ] `os` — time/date subset
 
@@ -82,6 +82,7 @@ Each item: implement → tests → tick box → update progress log.
 
 _Newest first. Agent appends on every commit._
 
+- 2026-04-24: lua: `table` lib — insert (append / at pos, shifts up), remove (last / at pos, shifts down), concat (sep, i, j), sort (insertion sort, optional cmp), unpack + table.unpack, maxn. Caught trap: local helper named `shift` collides with SX's `shift` special form → renamed to `tbl-shift-up`/`tbl-shift-down`. 322 tests.
 - 2026-04-24: lua: `math` lib — pi/huge + abs/ceil/floor/sqrt/exp/log/log10/pow/trig (sin/cos/tan/asin/acos/atan/atan2)/deg/rad/min/max (&rest)/fmod/modf/random (0/1/2 arg)/randomseed. Most ops delegate to SX primitives; log w/ base via change-of-base. 309 tests.
 - 2026-04-24: lua: `string` lib — len/upper/lower/rep/sub (1-idx + neg)/byte/char/find/match/gmatch/gsub/format. Patterns are literal-only (no `%d`/etc.); format is `%s`/`%d`/`%f`/`%%` only. `string.char` uses printable-ASCII lookup + tab/nl/cr. 292 tests.
 - 2026-04-24: lua: phase 5 — coroutines (create/resume/yield/status/wrap) via `call/cc` (perform/cek-resume not exposed to SX userland). Handles multi-yield + final return + arg passthrough. Fix: body's final return must jump via `caller-k` to the **current** resume's caller, not unwind through the stale first-call continuation. 273 tests.