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+###
+# Powerful digit counts
+# Problem 63
+#
+# The 5-digit number, 16807=7^5, is also a fifth power. Similarly, the 9-digit number, 134217728=8^9, is a ninth power.
+# How many n-digit positive integers exist which are also an nth power?
+###
+
+import itertools
+
+count = 0
+
+for n in itertools.count(1):
+    for e in range(1, 400):
+        x = n ** e
+        l = len(str(x))
+        if l == e:
+            print(n, "^", e, "=", x)
+            count += 1
+            print(count)
+        elif l > e:
+            break