Initial data commit

Task/Achilles-numbers/Python/achilles-numbers.py

@@ -0,0 +1,37 @@
+from math import gcd
+from sympy import factorint
+
+def is_Achilles(n):
+    p = factorint(n).values()
+    return all(i > 1 for i in p) and gcd(*p) == 1
+
+def is_strong_Achilles(n):
+    return is_Achilles(n) and is_Achilles(totient(n))
+
+def test_strong_Achilles(nachilles, nstrongachilles):
+    # task 1
+    print('First', nachilles, 'Achilles numbers:')
+    n, found = 0, 0
+    while found < nachilles:
+        if is_Achilles(n):
+            found += 1
+            print(f'{n: 8,}', end='\n' if found % 10 == 0 else '')
+        n += 1
+
+    # task 2
+    print('\nFirst', nstrongachilles, 'strong Achilles numbers:')
+    n, found = 0, 0
+    while found < nstrongachilles:
+        if is_strong_Achilles(n):
+            found += 1
+            print(f'{n: 9,}', end='\n' if found % 10 == 0 else '')
+        n += 1
+
+    # task 3
+    print('\nCount of Achilles numbers for various intervals:')
+    intervals = [[10, 99], [100, 999], [1000, 9999], [10000, 99999], [100000, 999999]]
+    for interval in intervals:
+        print(f'{interval}:', sum(is_Achilles(i) for i in range(*interval)))
+
+
+test_strong_Achilles(50, 100)