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diff --git a/lib/Crypto/SelfTest/Math/test_Primality.py b/lib/Crypto/SelfTest/Math/test_Primality.py
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+++ b/lib/Crypto/SelfTest/Math/test_Primality.py
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+#
+#  SelfTest/Math/test_Primality.py: Self-test for Primality module
+#
+# ===================================================================
+#
+# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
+# All rights reserved.
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+#    notice, this list of conditions and the following disclaimer.
+# 2. Redistributions in binary form must reproduce the above copyright
+#    notice, this list of conditions and the following disclaimer in
+#    the documentation and/or other materials provided with the
+#    distribution.
+#
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+# POSSIBILITY OF SUCH DAMAGE.
+# ===================================================================
+
+"""Self-test for Math.Numbers"""
+
+import unittest
+
+from Crypto.SelfTest.st_common import list_test_cases
+
+from Crypto.Util.py3compat import *
+
+from Crypto.Math.Numbers import Integer
+from Crypto.Math.Primality import (
+        PROBABLY_PRIME, COMPOSITE,
+        miller_rabin_test, lucas_test,
+        test_probable_prime,
+        generate_probable_prime,
+        generate_probable_safe_prime,
+        )
+
+
+class TestPrimality(unittest.TestCase):
+
+    primes = (1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 2**127-1, 175637383534939453397801320455508570374088202376942372758907369518414308188137781042871856139027160010343454418881888953150175357127346872102307696660678617989191485418582475696230580407111841072614783095326672517315988762029036079794994990250662362650625650262324085116467511357592728695033227611029693067539)
+    composites = (0, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 7*23, (2**19-1)*(2**67-1), 9746347772161,)
+
+    def test_miller_rabin(self):
+        for prime in self.primes:
+            self.assertEqual(miller_rabin_test(prime, 3), PROBABLY_PRIME)
+        for composite in self.composites:
+            self.assertEqual(miller_rabin_test(composite, 3), COMPOSITE)
+        self.assertRaises(ValueError, miller_rabin_test, -1, 3)
+
+    def test_lucas(self):
+        for prime in self.primes:
+            res = lucas_test(prime)
+            self.assertEqual(res, PROBABLY_PRIME)
+        for composite in self.composites:
+            res = lucas_test(composite)
+            self.assertEqual(res, COMPOSITE)
+        self.assertRaises(ValueError, lucas_test, -1)
+
+    def test_is_prime(self):
+        primes = (170141183460469231731687303715884105727,
+                  19175002942688032928599,
+                  1363005552434666078217421284621279933627102780881053358473,
+                  2 ** 521 - 1)
+        for p in primes:
+            self.assertEqual(test_probable_prime(p), PROBABLY_PRIME)
+
+        not_primes = (
+                    4754868377601046732119933839981363081972014948522510826417784001,
+                    1334733877147062382486934807105197899496002201113849920496510541601,
+                    260849323075371835669784094383812120359260783810157225730623388382401,
+                    )
+        for np in not_primes:
+            self.assertEqual(test_probable_prime(np), COMPOSITE)
+
+        from Crypto.Util.number import sieve_base
+        for p in sieve_base[:100]:
+            res = test_probable_prime(p)
+            self.assertEqual(res, PROBABLY_PRIME)
+
+    def test_generate_prime_bit_size(self):
+        p = generate_probable_prime(exact_bits=512)
+        self.assertEqual(p.size_in_bits(), 512)
+
+    def test_generate_prime_filter(self):
+        def ending_with_one(number):
+            return number % 10 == 1
+
+        for x in range(20):
+            q = generate_probable_prime(exact_bits=160,
+                    prime_filter=ending_with_one)
+            self.assertEqual(q % 10, 1)
+
+    def test_generate_safe_prime(self):
+        p = generate_probable_safe_prime(exact_bits=161)
+        self.assertEqual(p.size_in_bits(), 161)
+
+def get_tests(config={}):
+    tests = []
+    tests += list_test_cases(TestPrimality)
+    return tests
+
+if __name__ == '__main__':
+    suite = lambda: unittest.TestSuite(get_tests())
+    unittest.main(defaultTest='suite')