September Morn Update

Task/Almost-prime/Python/almost-prime-2.py

@@ -0,0 +1,37 @@
+# k-Almost-primes
+# Python 3.6.3
+# no imports
+
+def prime_factors(m=2):
+
+    for i in range(2, m):
+        r, q = divmod(m, i)
+        if not q:
+            return [i] + prime_factors(r)
+    return [m]
+
+def k_almost_primes(n, k=2):
+    multiples = set()
+    lists = list()
+    for x in range(k+1):
+        lists.append([])
+
+    for i in range(2, n+1):
+        if i not in multiples:
+            if len(lists[1]) < 10:
+                lists[1].append(i)
+            multiples.update(range(i*i, n+1, i))
+    print("k=1: {}".format(lists[1]))
+
+    for j in range(2, k+1):
+        for m in multiples:
+            l = prime_factors(m)
+            ll = len(l)
+            if ll == j and len(lists[j]) < 10:
+                lists[j].append(m)
+
+        print("k={}: {}".format(j, lists[j]))
+
+k_almost_primes(200, 5)
+# try:
+#k_almost_primes(6000, 10)