diff --git a/numpy-1-21-xfails.txt b/numpy-1-21-xfails.txt
index 2a564a3a..fe53f452 100644
--- a/numpy-1-21-xfails.txt
+++ b/numpy-1-21-xfails.txt
@@ -89,6 +89,7 @@ array_api_tests/test_set_functions.py::test_unique_values
 # The test suite is incorrectly checking sums that have loss of significance
 # (https://github.com/data-apis/array-api-tests/issues/168)
 array_api_tests/test_statistical_functions.py::test_sum
+array_api_tests/test_statistical_functions.py::test_prod
 
 # NumPy 1.21 doesn't support NPY_PROMOTION_STATE=weak, so many tests fail with
 # type promotion issues
@@ -121,8 +122,8 @@ array_api_tests/test_operators_and_elementwise_functions.py::test_bitwise_xor[bi
 array_api_tests/test_operators_and_elementwise_functions.py::test_divide[__truediv__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_divide[__truediv__(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_divide[divide(x1, x2)]
-array_api_tests/test_operators_and_elementwise_functions.py::test_equal[equal(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_equal[__eq__(x1, x2)]
+array_api_tests/test_operators_and_elementwise_functions.py::test_equal[equal(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_floor_divide[__floordiv__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_floor_divide[__floordiv__(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_floor_divide[__ifloordiv__(x, s)]
@@ -130,12 +131,15 @@ array_api_tests/test_operators_and_elementwise_functions.py::test_floor_divide[f
 array_api_tests/test_operators_and_elementwise_functions.py::test_greater[__gt__(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_greater[greater(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_less[__lt__(x1, x2)]
+array_api_tests/test_operators_and_elementwise_functions.py::test_less[less(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_less_equal[less_equal(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_logaddexp
 array_api_tests/test_operators_and_elementwise_functions.py::test_multiply[__imul__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_multiply[__mul__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_multiply[__mul__(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_multiply[multiply(x1, x2)]
+array_api_tests/test_operators_and_elementwise_functions.py::test_not_equal[__ne__(x1, x2)]
+array_api_tests/test_operators_and_elementwise_functions.py::test_not_equal[not_equal(x1, x2)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_pow[__ipow__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_pow[__pow__(x, s)]
 array_api_tests/test_operators_and_elementwise_functions.py::test_pow[__pow__(x1, x2)]
diff --git a/numpy-dev-xfails.txt b/numpy-dev-xfails.txt
index 8d291d01..51ff34ad 100644
--- a/numpy-dev-xfails.txt
+++ b/numpy-dev-xfails.txt
@@ -42,3 +42,4 @@ array_api_tests/meta/test_hypothesis_helpers.py::test_symmetric_matrices
 # The test suite is incorrectly checking sums that have loss of significance
 # (https://github.com/data-apis/array-api-tests/issues/168)
 array_api_tests/test_statistical_functions.py::test_sum
+array_api_tests/test_statistical_functions.py::test_prod
diff --git a/numpy-xfails.txt b/numpy-xfails.txt
index e44d7035..40c6cbc4 100644
--- a/numpy-xfails.txt
+++ b/numpy-xfails.txt
@@ -44,3 +44,4 @@ array_api_tests/meta/test_hypothesis_helpers.py::test_symmetric_matrices
 # The test suite is incorrectly checking sums that have loss of significance
 # (https://github.com/data-apis/array-api-tests/issues/168)
 array_api_tests/test_statistical_functions.py::test_sum
+array_api_tests/test_statistical_functions.py::test_prod