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Task/Sphenic-numbers/Python/sphenic-numbers.py

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+""" rosettacode.org task Sphenic_numbers """
+
+
+from sympy import factorint
+
+sphenics1m, sphenic_triplets1m = [], []
+
+for i in range(3, 1_000_000):
+    d = factorint(i)
+    if len(d) == 3 and sum(d.values()) == 3:
+        sphenics1m.append(i)
+        if len(sphenics1m) > 2 and i - sphenics1m[-3] == 2 and i - sphenics1m[-2] == 1:
+            sphenic_triplets1m.append(i)
+
+print('Sphenic numbers less than 1000:')
+for i, n in enumerate(sphenics1m):
+    if n < 1000:
+        print(f'{n : 5}', end='\n' if (i + 1) % 15 == 0 else '')
+    else:
+        break
+
+print('\n\nSphenic triplets less than 10_000:')
+for i, n in enumerate(sphenic_triplets1m):
+    if n < 10_000:
+        print(f'({n - 2} {n - 1} {n})', end='\n' if (i + 1) % 3 == 0 else '  ')
+    else:
+        break
+
+print('\nThere are', len(sphenics1m), 'sphenic numbers and', len(sphenic_triplets1m),
+      'sphenic triplets less than 1 million.')
+
+S2HK = sphenics1m[200_000 - 1]
+T5K = sphenic_triplets1m[5000 - 1]
+print(f'The 200_000th sphenic number is {S2HK}, with prime factors {list(factorint(S2HK).keys())}.')
+print(f'The 5000th sphenic triplet is ({T5K - 2} {T5K - 1} {T5K}).')