Data commit

Task/Mertens-function/Python/mertens-function.py

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+def mertens(count):
+    """Generate Mertens numbers"""
+    m = [None, 1]
+    for n in range(2, count+1):
+        m.append(1)
+        for k in range(2, n+1):
+            m[n] -= m[n//k]
+    return m
+
+
+ms = mertens(1000)
+
+print("The first 99 Mertens numbers are:")
+print("  ", end=' ')
+col = 1
+for n in ms[1:100]:
+    print("{:2d}".format(n), end=' ')
+    col += 1
+    if col == 10:
+        print()
+        col = 0
+
+zeroes = sum(x==0 for x in ms)
+crosses = sum(a!=0 and b==0 for a,b in zip(ms, ms[1:]))
+print("M(N) equals zero {} times.".format(zeroes))
+print("M(N) crosses zero {} times.".format(crosses))