diff --git a/pandas/tests/frame/test_rank.py b/pandas/tests/frame/test_rank.py
index eaba5f7ec7790..e7a876bcf52d1 100644
--- a/pandas/tests/frame/test_rank.py
+++ b/pandas/tests/frame/test_rank.py
@@ -310,6 +310,7 @@ def test_rank_pct_true(self, method, exp):
         expected = DataFrame(exp)
         tm.assert_frame_equal(result, expected)
 
+    @pytest.mark.single
     def test_pct_max_many_rows(self):
         # GH 18271
         df = DataFrame({'A': np.arange(2**24 + 1),
diff --git a/pandas/tests/series/test_rank.py b/pandas/tests/series/test_rank.py
index 5b0ea37a0bfcf..72d05cb4839ef 100644
--- a/pandas/tests/series/test_rank.py
+++ b/pandas/tests/series/test_rank.py
@@ -497,6 +497,7 @@ def test_rank_first_pct(dtype, ser, exp):
         assert_series_equal(result, expected)
 
 
+@pytest.mark.single
 def test_pct_max_many_rows():
         # GH 18271
         s = Series(np.arange(2**24 + 1))
diff --git a/pandas/tests/test_algos.py b/pandas/tests/test_algos.py
index ff505f2986b1a..fa33a1ceae0b9 100644
--- a/pandas/tests/test_algos.py
+++ b/pandas/tests/test_algos.py
@@ -1462,6 +1462,7 @@ def test_too_many_ndims(self):
         with pytest.raises(TypeError, match=msg):
             algos.rank(arr)
 
+    @pytest.mark.single
     @pytest.mark.parametrize('values', [
         np.arange(2**24 + 1),
         np.arange(2**25 + 2).reshape(2**24 + 1, 2)],