diff --git a/python-flake8.spec b/python-flake8.spec
index e60c930..625ea64 100644
--- a/python-flake8.spec
+++ b/python-flake8.spec
@@ -74,25 +74,27 @@ complexity checker is included, and it is extendable through
 flake8.extension entry points.
 
 %if %{with python3}
-%package -n python3-%{modname}
+%package -n python%{python3_pkgversion}-%{modname}
 Summary:        Python code checking using pyflakes, pycodestyle, and mccabe
 
-%{?python_provide:%python_provide python3-%{modname}}
+%{?python_provide:%python_provide python%{python3_pkgversion}-%{modname}}
 
-Requires:    python3-setuptools
-Requires:    python3-mccabe %{mccabe_dep}
-Requires:    python3-pycodestyle %{pycodestyle_dep}
-Requires:    python3-pyflakes %{pyflakes_dep}
+Obsoletes: python3-%{modname} < 3.3.0-3
 
-BuildRequires:    python3-devel
-BuildRequires:    python3-setuptools
-BuildRequires:    python3-mccabe %{mccabe_dep}
-BuildRequires:    python3-pycodestyle %{pycodestyle_dep}
-BuildRequires:    python3-pyflakes %{pyflakes_dep}
-BuildRequires:    python3-mock
-BuildRequires:    python3-pytest-runner
+Requires:    python%{python3_pkgversion}-setuptools
+Requires:    python%{python3_pkgversion}-mccabe %{mccabe_dep}
+Requires:    python%{python3_pkgversion}-pycodestyle %{pycodestyle_dep}
+Requires:    python%{python3_pkgversion}-pyflakes %{pyflakes_dep}
 
-%description -n python3-%{modname}
+BuildRequires:    python%{python3_pkgversion}-devel
+BuildRequires:    python%{python3_pkgversion}-setuptools
+BuildRequires:    python%{python3_pkgversion}-mccabe %{mccabe_dep}
+BuildRequires:    python%{python3_pkgversion}-pycodestyle %{pycodestyle_dep}
+BuildRequires:    python%{python3_pkgversion}-pyflakes %{pyflakes_dep}
+BuildRequires:    python%{python3_pkgversion}-mock
+BuildRequires:    python%{python3_pkgversion}-pytest-runner
+
+%description -n python%{python3_pkgversion}-%{modname}
 Flake8 is a wrapper around PyFlakes, pycodestyle, and Ned's McCabe
 script. It runs all the tools by launching the single flake8 script,
 and displays the warnings in a per-file, merged output.
@@ -149,7 +151,7 @@ ln -s flake8-%{defaultpython} %{buildroot}%{_bindir}/flake8
 %{python_sitelib}/%{modname}*
 
 %if %{with python3}
-%files -n python3-%{modname}
+%files -n python%{python3_pkgversion}-%{modname}
 %doc README.rst CONTRIBUTORS.txt
 %if %{defaultpython} == 3
 %{_bindir}/flake8
@@ -164,6 +166,7 @@ ln -s flake8-%{defaultpython} %{buildroot}%{_bindir}/flake8
 %changelog
 * Sun Jul  9 2017 Ville Skyttä <ville.skytta@iki.fi>
 - Point unversioned flake8 executable to Python 3 in F27+
+- Use python3_pkgversion in Python 3 package names
 
 * Fri May 26 2017 Ville Skyttä <ville.skytta@iki.fi> - 3.3.0-2
 - Run tests with -Wall