I find for /tmp/test.py:

import atexit, socket

sockets = []
atexit.register(lambda: [ss.close() for ss in sockets])

for i in xrange(2**16):
  print('Socket bind attempt #{}'.format(str(i)))
  s = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
  sockets.append(s)
  s.bind(('localhost', 0))
  _, port = s.getsockname()
  print('   ... bound port {}'.format(port))

I get:

python /tmp/test.py
...
Socket bind attempt #28230
   ... bound port 54742
Socket bind attempt #28231
   ... bound port 54750
Socket bind attempt #28232
Traceback (most recent call last):
  File "/tmp/test.py", line 14, in <module>
    s.bind(('localhost', 0))
  File "/usr/lib/python2.7/socket.py", line 228, in meth
    return getattr(self._sock,name)(*args)
socket.error: [Errno 98] Address already in use

I'm guessing Nora hasn't rebooted in a while.