diff --git a/Doc/README.txt b/Doc/README.txt
index 4f8e9f8f141..a362ecca942 100644
--- a/Doc/README.txt
+++ b/Doc/README.txt
@@ -15,7 +15,7 @@ Building the docs
 
 You need to have Sphinx <http://sphinx-doc.org/> installed; it is the toolset
 used to build the docs.  It is not included in this tree, but maintained
-separately and available from PyPI <https://pypi.python.org/pypi/Sphinx>.
+separately and available from PyPI <https://pypi.org/project/Sphinx>.
 
 
 Using make
diff --git a/Doc/distributing/index.rst b/Doc/distributing/index.rst
index 82ecd2c1ef4..b0dccb3db1d 100644
--- a/Doc/distributing/index.rst
+++ b/Doc/distributing/index.rst
@@ -31,7 +31,7 @@ installing other Python projects, refer to the
 Key terms
 =========
 
-* the `Python Packaging Index <https://pypi.python.org/pypi>`__ is a public
+* the `Python Packaging Index <https://pypi.org>`__ is a public
   repository of open source licensed packages made available for use by
   other Python users
 * the `Python Packaging Authority
diff --git a/Doc/distutils/apiref.rst b/Doc/distutils/apiref.rst
index 18844dd7679..34a3cb34af3 100644
--- a/Doc/distutils/apiref.rst
+++ b/Doc/distutils/apiref.rst
@@ -78,7 +78,7 @@ setup script). Indirectly provides the  :class:`distutils.dist.Distribution` and
    |                    | be built                       | :class:`distutils.core.Extension`                           |
    +--------------------+--------------------------------+-------------------------------------------------------------+
    | *classifiers*      | A list of categories for the   | a list of strings; valid classifiers are listed on `PyPI    |
-   |                    | package                        | <https://pypi.python.org/pypi?:action=list_classifiers>`_.  |
+   |                    | package                        | <https://pypi.org/classifiers>`_.                           |
    +--------------------+--------------------------------+-------------------------------------------------------------+
    | *distclass*        | the :class:`Distribution`      | a subclass of                                               |
    |                    | class to use                   | :class:`distutils.core.Distribution`                        |
diff --git a/Doc/distutils/packageindex.rst b/Doc/distutils/packageindex.rst
index 80875845f68..cd11f20df80 100644
--- a/Doc/distutils/packageindex.rst
+++ b/Doc/distutils/packageindex.rst
@@ -248,4 +248,4 @@ without warnings does not guarantee that PyPI will convert the content
 successfully.
 
 
-.. _Python Package Index (PyPI): https://pypi.python.org/pypi
+.. _Python Package Index (PyPI): https://pypi.org
diff --git a/Doc/distutils/setupscript.rst b/Doc/distutils/setupscript.rst
index 6b82c40546c..92ab5732d2b 100644
--- a/Doc/distutils/setupscript.rst
+++ b/Doc/distutils/setupscript.rst
@@ -606,7 +606,7 @@ Notes:
 (4)
     These fields should not be used if your package is to be compatible with Python
     versions prior to 2.2.3 or 2.3.  The list is available from the `PyPI website
-    <https://pypi.python.org/pypi>`_.
+    <https://pypi.org>`_.
 
 (5)
     The ``long_description`` field is used by PyPI when you are
diff --git a/Doc/faq/general.rst b/Doc/faq/general.rst
index 35cad55c3a9..eb1bd16b4b8 100644
--- a/Doc/faq/general.rst
+++ b/Doc/faq/general.rst
@@ -117,7 +117,7 @@ programming), software engineering (unit testing, logging, profiling, parsing
 Python code), and operating system interfaces (system calls, filesystems, TCP/IP
 sockets).  Look at the table of contents for :ref:`library-index` to get an idea
 of what's available.  A wide variety of third-party extensions are also
-available.  Consult `the Python Package Index <https://pypi.python.org/pypi>`_ to
+available.  Consult `the Python Package Index <https://pypi.org>`_ to
 find packages of interest to you.
 
 
diff --git a/Doc/faq/library.rst b/Doc/faq/library.rst
index d1b3efb4d7f..a25946538e4 100644
--- a/Doc/faq/library.rst
+++ b/Doc/faq/library.rst
@@ -19,7 +19,7 @@ standard library module.  (Eventually you'll learn what's in the standard
 library and will be able to skip this step.)
 
 For third-party packages, search the `Python Package Index
-<https://pypi.python.org/pypi>`_ or try `Google <https://www.google.com>`_ or
+<https://pypi.org>`_ or try `Google <https://www.google.com>`_ or
 another Web search engine.  Searching for "Python" plus a keyword or two for
 your topic of interest will usually find something helpful.
 
@@ -585,7 +585,7 @@ substituted for standard input and output.  You will have to use pseudo ttys
 ("ptys") instead of pipes. Or you can use a Python interface to Don Libes'
 "expect" library.  A Python extension that interfaces to expect is called "expy"
 and available from http://expectpy.sourceforge.net.  A pure Python solution that
-works like expect is `pexpect <https://pypi.python.org/pypi/pexpect/>`_.
+works like expect is `pexpect <https://pypi.org/project/pexpect/>`_.
 
 
 How do I access the serial (RS232) port?
diff --git a/Doc/howto/pyporting.rst b/Doc/howto/pyporting.rst
index 8562d237374..88b01779d2a 100644
--- a/Doc/howto/pyporting.rst
+++ b/Doc/howto/pyporting.rst
@@ -427,25 +427,25 @@ to make sure everything functions as expected in both versions of Python.
 
 
 .. _2to3: https://docs.python.org/3/library/2to3.html
-.. _caniusepython3: https://pypi.python.org/pypi/caniusepython3
+.. _caniusepython3: https://pypi.org/project/caniusepython3
 .. _cheat sheet: http://python-future.org/compatible_idioms.html
-.. _coverage.py: https://pypi.python.org/pypi/coverage
+.. _coverage.py: https://pypi.org/project/coverage
 .. _Futurize: http://python-future.org/automatic_conversion.html
 .. _importlib: https://docs.python.org/3/library/importlib.html#module-importlib
-.. _importlib2: https://pypi.python.org/pypi/importlib2
+.. _importlib2: https://pypi.org/project/importlib2
 .. _Modernize: https://python-modernize.readthedocs.org/en/latest/
 .. _mypy: http://mypy-lang.org/
 .. _Porting to Python 3: http://python3porting.com/
-.. _Pylint: https://pypi.python.org/pypi/pylint
+.. _Pylint: https://pypi.org/project/pylint
 
 .. _Python 3 Q & A: https://ncoghlan-devs-python-notes.readthedocs.org/en/latest/python3/questions_and_answers.html
 
 .. _pytype: https://github.com/google/pytype
 .. _python-future: http://python-future.org/
 .. _python-porting: https://mail.python.org/mailman/listinfo/python-porting
-.. _six: https://pypi.python.org/pypi/six
-.. _tox: https://pypi.python.org/pypi/tox
-.. _trove classifier: https://pypi.python.org/pypi?%3Aaction=list_classifiers
+.. _six: https://pypi.org/project/six
+.. _tox: https://pypi.org/project/tox
+.. _trove classifier: https://pypi.org/classifiers
 
 .. _"What's New": https://docs.python.org/3/whatsnew/index.html
 
diff --git a/Doc/howto/webservers.rst b/Doc/howto/webservers.rst
index a555083e325..5071a8a33cb 100644
--- a/Doc/howto/webservers.rst
+++ b/Doc/howto/webservers.rst
@@ -301,7 +301,7 @@ following WSGI-application::
     WSGIServer(app).run()
 
 This is a simple WSGI application, but you need to install `flup
-<https://pypi.python.org/pypi/flup/1.0>`_ first, as flup handles the low level
+<https://pypi.org/project/flup/1.0>`_ first, as flup handles the low level
 FastCGI access.
 
 .. seealso::
@@ -583,7 +583,7 @@ alternate storage mechanism.
      helps with choosing a method for saving data
 
    * `SQLAlchemy <http://www.sqlalchemy.org/>`_, the most powerful OR-Mapper
-     for Python, and `Elixir <https://pypi.python.org/pypi/Elixir>`_, which makes
+     for Python, and `Elixir <https://pypi.org/project/Elixir>`_, which makes
      SQLAlchemy easier to use
 
    * `SQLObject <http://www.sqlobject.org/>`_, another popular OR-Mapper
diff --git a/Doc/installing/index.rst b/Doc/installing/index.rst
index cbbb8824068..9b89d083af3 100644
--- a/Doc/installing/index.rst
+++ b/Doc/installing/index.rst
@@ -39,9 +39,8 @@ Key terms
   being installed system wide
 * ``virtualenv`` is a third party tools for creating virtual environments, it
   is defaults to installing ``pip`` into all created virtual environments.
-* the `Python Packaging Index <https://pypi.python.org/pypi>`__ is a public
-  repository of open source licensed packages made available for use by
-  other Python users
+* the `Python Packaging Index <https://pypi.org>`__ is a public repository of
+  open source licensed packages made available for use by other Python users
 * the `Python Packaging Authority
   <https://www.pypa.io/en/latest/>`__ are the group of
   developers and documentation authors responsible for the maintenance and
diff --git a/Doc/library/bz2.rst b/Doc/library/bz2.rst
index 71957ec06e5..e764f393954 100644
--- a/Doc/library/bz2.rst
+++ b/Doc/library/bz2.rst
@@ -74,7 +74,7 @@ Handling of compressed files is offered by the :class:`BZ2File` class.
       input file, only the first stream will be accessible. If you require
       support for multi-stream files, consider using the third-party
       :mod:`bz2file` module (available from
-      `PyPI <https://pypi.python.org/pypi/bz2file>`_). This module provides a
+      `PyPI <https://pypi.org/project/bz2file>`_). This module provides a
       backport of Python 3.3's :class:`BZ2File` class, which does support
       multi-stream files.
 
diff --git a/Doc/library/datetime.rst b/Doc/library/datetime.rst
index b8d86e3b5a7..d2c1c563863 100644
--- a/Doc/library/datetime.rst
+++ b/Doc/library/datetime.rst
@@ -1566,7 +1566,7 @@ EST (fixed offset -5 hours), or only EDT (fixed offset -4 hours)).
 
 .. seealso::
 
-   `pytz <https://pypi.python.org/pypi/pytz/>`_
+   `pytz <https://pypi.org/project/pytz/>`_
       The standard library has no :class:`tzinfo` instances, but
       there exists a third-party library which brings the *IANA timezone
       database* (also known as the Olson database) to Python: *pytz*.
diff --git a/Doc/library/distribution.rst b/Doc/library/distribution.rst
index b5609995727..21dd18d94a4 100644
--- a/Doc/library/distribution.rst
+++ b/Doc/library/distribution.rst
@@ -4,7 +4,7 @@ Software Packaging and Distribution
 
 These libraries help you with publishing and installing Python software.
 While these modules are designed to work in conjunction with the
-`Python Package Index <https://pypi.python.org>`__, they can also be used
+`Python Package Index <https://pypi.org>`__, they can also be used
 with a local index server, or without any index server at all.
 
 .. toctree::
diff --git a/Doc/library/index.rst b/Doc/library/index.rst
index 97cf3ea75cc..31ca6df1d15 100644
--- a/Doc/library/index.rst
+++ b/Doc/library/index.rst
@@ -30,7 +30,7 @@ optional components.
 In addition to the standard library, there is a growing collection of
 several thousand components (from individual programs and modules to
 packages and entire application development frameworks), available from
-the `Python Package Index <https://pypi.python.org/pypi>`_.
+the `Python Package Index <https://pypi.org>`_.
 
 
 .. toctree::
diff --git a/Doc/library/pprint.rst b/Doc/library/pprint.rst
index ffa27d4255f..3f09b21d853 100644
--- a/Doc/library/pprint.rst
+++ b/Doc/library/pprint.rst
@@ -234,4 +234,3 @@ parameters.
     ['aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa',
      'bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb'],
     ['cccccccccccccccccccc', 'dddddddddddddddddddd']]
-
diff --git a/Doc/library/re.rst b/Doc/library/re.rst
index c424230e13a..228fcfedf4f 100644
--- a/Doc/library/re.rst
+++ b/Doc/library/re.rst
@@ -35,7 +35,7 @@ fine-tuning parameters.
 
 .. seealso::
 
-   The third-party `regex <https://pypi.python.org/pypi/regex/>`_ module,
+   The third-party `regex <https://pypi.org/project/regex/>`_ module,
    which has an API compatible with the standard library :mod:`re` module,
    but offers additional functionality and a more thorough Unicode support.
 
diff --git a/Doc/library/ssl.rst b/Doc/library/ssl.rst
index 89b9ff3621f..a612e6ebd39 100644
--- a/Doc/library/ssl.rst
+++ b/Doc/library/ssl.rst
@@ -1586,7 +1586,7 @@ Visual inspection shows that the certificate does identify the desired service
                 (('commonName', 'www.python.org'),)),
     'subjectAltName': (('DNS', 'www.python.org'),
                        ('DNS', 'python.org'),
-                       ('DNS', 'pypi.python.org'),
+                       ('DNS', 'pypi.org'),
                        ('DNS', 'docs.python.org'),
                        ('DNS', 'testpypi.python.org'),
                        ('DNS', 'bugs.python.org'),
diff --git a/Doc/library/subprocess.rst b/Doc/library/subprocess.rst
index 284cf4465aa..53a0161d4b0 100644
--- a/Doc/library/subprocess.rst
+++ b/Doc/library/subprocess.rst
@@ -32,7 +32,7 @@ functions can be found in the subprocess-replacements_ section.
 
    :pep:`324` -- PEP proposing the subprocess module
 
-.. _subprocess32: https://pypi.python.org/pypi/subprocess32/
+.. _subprocess32: https://pypi.org/project/subprocess32/
 
 Using the :mod:`subprocess` Module
 ----------------------------------
diff --git a/Doc/library/unittest.rst b/Doc/library/unittest.rst
index b36126e1cc6..0915926ab7c 100644
--- a/Doc/library/unittest.rst
+++ b/Doc/library/unittest.rst
@@ -78,7 +78,7 @@ need to derive from a specific class.
    Module :mod:`doctest`
       Another test-support module with a very different flavor.
 
-   `unittest2: A backport of new unittest features for Python 2.4-2.6 <https://pypi.python.org/pypi/unittest2>`_
+   `unittest2: A backport of new unittest features for Python 2.4-2.6 <https://pypi.org/project/unittest2>`_
       Many new features were added to unittest in Python 2.7, including test
       discovery. unittest2 allows you to use these features with earlier
       versions of Python.
diff --git a/Doc/library/xml.rst b/Doc/library/xml.rst
index a8f20cdbf48..b107c29c640 100644
--- a/Doc/library/xml.rst
+++ b/Doc/library/xml.rst
@@ -129,8 +129,8 @@ break backward compatibility. After all inline DTD and entity expansion are
 well-defined XML features.
 
 
-.. _defusedxml: https://pypi.python.org/pypi/defusedxml/
-.. _defusedexpat: https://pypi.python.org/pypi/defusedexpat/
+.. _defusedxml: https://pypi.org/project/defusedxml/
+.. _defusedexpat: https://pypi.org/project/defusedexpat/
 .. _Billion Laughs: https://en.wikipedia.org/wiki/Billion_laughs
 .. _ZIP bomb: https://en.wikipedia.org/wiki/Zip_bomb
 .. _DTD: https://en.wikipedia.org/wiki/Document_type_definition
diff --git a/Doc/tutorial/whatnow.rst b/Doc/tutorial/whatnow.rst
index 89dfa6a1570..f6ce4f4617e 100644
--- a/Doc/tutorial/whatnow.rst
+++ b/Doc/tutorial/whatnow.rst
@@ -38,7 +38,7 @@ More Python resources:
 
 * https://docs.python.org:  Fast access to Python's  documentation.
 
-* https://pypi.python.org/pypi: The Python Package Index, previously also nicknamed
+* https://pypi.org: The Python Package Index, previously also nicknamed
   the Cheese Shop, is an index of user-created Python modules that are available
   for download.  Once you begin releasing code, you can register it here so that
   others can find it.
diff --git a/Doc/using/windows.rst b/Doc/using/windows.rst
index f597476e333..778b8843f23 100644
--- a/Doc/using/windows.rst
+++ b/Doc/using/windows.rst
@@ -242,7 +242,7 @@ The Windows-specific standard modules are documented in
 PyWin32
 -------
 
-The `PyWin32 <https://pypi.python.org/pypi/pywin32>`_ module by Mark Hammond
+The `PyWin32 <https://pypi.org/project/pywin32>`_ module by Mark Hammond
 is a collection of modules for advanced Windows-specific support.  This includes
 utilities for:
 
diff --git a/Doc/whatsnew/2.3.rst b/Doc/whatsnew/2.3.rst
index 838ca38f318..1ef2cb5f986 100644
--- a/Doc/whatsnew/2.3.rst
+++ b/Doc/whatsnew/2.3.rst
@@ -659,7 +659,7 @@ The heart of the catalog is the new Distutils :command:`register` command.
 Running ``python setup.py register`` will collect the metadata describing a
 package, such as its name, version, maintainer, description, &c., and send it to
 a central catalog server.  The resulting catalog is available from
-https://pypi.python.org/pypi.
+https://pypi.org.
 
 To make the catalog a bit more useful, a new optional *classifiers* keyword
 argument has been added to the Distutils :func:`setup` function.  A list of
diff --git a/Doc/whatsnew/2.5.rst b/Doc/whatsnew/2.5.rst
index d2395e7097a..6400bb10861 100644
--- a/Doc/whatsnew/2.5.rst
+++ b/Doc/whatsnew/2.5.rst
@@ -229,7 +229,7 @@ required packages. ::
         )
 
 Another new enhancement to the Python package index at
-https://pypi.python.org is storing source and binary archives for a
+https://pypi.org is storing source and binary archives for a
 package.  The new :command:`upload` Distutils command will upload a package to
 the repository.
 
diff --git a/Doc/whatsnew/2.7.rst b/Doc/whatsnew/2.7.rst
index 53333ebf7c1..a18abe8141e 100644
--- a/Doc/whatsnew/2.7.rst
+++ b/Doc/whatsnew/2.7.rst
@@ -1809,7 +1809,7 @@ new features were added.  Most of these features were implemented
 by Michael Foord, unless otherwise noted.  The enhanced version of
 the module is downloadable separately for use with Python versions 2.4 to 2.6,
 packaged as the :mod:`unittest2` package, from
-https://pypi.python.org/pypi/unittest2.
+https://pypi.org/project/unittest2.
 
 When used from the command line, the module can automatically discover
 tests.  It's not as fancy as `py.test <http://pytest.org>`__ or
diff --git a/Misc/NEWS.d/next/Documentation/2018-05-14-20-08-58.bpo-33503.Wvt0qg.rst b/Misc/NEWS.d/next/Documentation/2018-05-14-20-08-58.bpo-33503.Wvt0qg.rst
new file mode 100644
index 00000000000..27025c31a03
--- /dev/null
+++ b/Misc/NEWS.d/next/Documentation/2018-05-14-20-08-58.bpo-33503.Wvt0qg.rst
@@ -0,0 +1 @@
+Fix broken pypi link