diff --git a/pyiceberg/expressions/literals.py b/pyiceberg/expressions/literals.py
index 20be711c02..39922fde33 100644
--- a/pyiceberg/expressions/literals.py
+++ b/pyiceberg/expressions/literals.py
@@ -251,7 +251,7 @@ def __init__(self) -> None:
 
     @singledispatchmethod
     def to(self, type_var: IcebergType) -> Literal:  # type: ignore
-        raise TypeError("Cannot change the type of IntAboveMax")
+        raise TypeError("Cannot change the type of LongAboveMax")
 
     @to.register(LongType)
     def _(self, _: LongType) -> Literal[int]:
@@ -264,7 +264,7 @@ def __init__(self) -> None:
 
     @singledispatchmethod
     def to(self, type_var: IcebergType) -> Literal:  # type: ignore
-        raise TypeError("Cannot change the type of IntBelowMin")
+        raise TypeError("Cannot change the type of LongBelowMin")
 
     @to.register(LongType)
     def _(self, _: LongType) -> Literal[int]:
diff --git a/tests/expressions/test_literals.py b/tests/expressions/test_literals.py
index 33b41d5e4c..1cfa2a6a65 100644
--- a/tests/expressions/test_literals.py
+++ b/tests/expressions/test_literals.py
@@ -633,6 +633,34 @@ def test_below_min_int() -> None:
     assert b.to(IntegerType()) == IntBelowMin()
 
 
+def test_above_max_long() -> None:
+    a = LongAboveMax()
+    # singleton
+    assert a == LongAboveMax()
+    assert str(a) == "LongAboveMax"
+    assert repr(a) == "LongAboveMax()"
+    assert a.value == LongType.max
+    assert a == eval(repr(a))
+    assert a.to(LongType()) == LongAboveMax()
+    with pytest.raises(TypeError) as e:
+        a.to(IntegerType())
+    assert "Cannot change the type of LongAboveMax" in str(e.value)
+
+
+def test_below_min_long() -> None:
+    b = LongBelowMin()
+    # singleton
+    assert b == LongBelowMin()
+    assert str(b) == "LongBelowMin"
+    assert repr(b) == "LongBelowMin()"
+    assert b == eval(repr(b))
+    assert b.value == LongType.min
+    assert b.to(LongType()) == LongBelowMin()
+    with pytest.raises(TypeError) as e:
+        b.to(IntegerType())
+    assert "Cannot change the type of LongBelowMin" in str(e.value)
+
+
 def test_invalid_boolean_conversions() -> None:
     assert_invalid_conversions(
         literal(True),