diff --git a/.travis.yml b/.travis.yml
index 0dfd877..3dbf26b 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -34,7 +34,7 @@ matrix:
           env: TOXENV=pep8
         - python: 3.4
           env: TOXENV=pep8
-        - python: 3.4
+        - python: 3.5
           env: TOXENV=packaging
 #    uncomment and adjust if you want to allow some failures
     allow_failures:
diff --git a/requirements.txt b/requirements.txt
index 321875f..eac66b8 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,2 +1,2 @@
-numpy<1.12 ; python_version >= '3.2' and python_version < '3.4' # numpy starting from 1.12 doesn't support python 3.2 and 3.3
-numpy ; python_version < '3.0' or python_version >= '3.4' # newest numpy for python 2.7, 3.4 and higher
\ No newline at end of file
+numpy<1.12,>=1.8 ; python_version >= '3.2' and python_version < '3.4' # numpy starting from 1.12 doesn't support python 3.2 and 3.3
+numpy>=1.8 ; python_version < '3.0' or python_version >= '3.4' # newest numpy for python 2.7, 3.4 and higher
\ No newline at end of file
diff --git a/setup.py b/setup.py
index e86a6d0..6a42501 100644
--- a/setup.py
+++ b/setup.py
@@ -117,9 +117,14 @@ def get_cmdclass():
 pytest_runner = ['pytest-runner'] if needs_pytest else []
 
 # set specific numpy version for python 3.2 and 3.3
-numpy_version = 'numpy'
-if sys.version_info.major == 3 and sys.version_info.minor in (2, 3):
-    numpy_version = 'numpy<1.12'
+numpy_version = [
+    "numpy<1.12,>=1.8;python_version >= '3.2' and python_version < '3.4'",
+    "numpy>=1.8;python_version < '3.0' or python_version >= '3.4'"
+]
+
+# python 3.2 doesn't understand environment markers
+if sys.version_info.major == 3 and sys.version_info.minor == 2:
+    numpy_version = ['numpy<1.12']
 
 setuptools.setup(
     name='beprof',
@@ -164,7 +169,7 @@ def get_cmdclass():
         'Programming Language :: Python :: 3.5',
         'Programming Language :: Python :: 3.6',
     ],
-    install_requires=[numpy_version],
+    install_requires=numpy_version,
     setup_requires=[] + pytest_runner,
     tests_require=['pytest'],
     cmdclass=get_cmdclass()