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035/main.py

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+'''
+The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime.
+
+There are thirteen such primes below 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, and 97.
+
+How many circular primes are there below one million?
+'''
+import math
+import numpy as np
+
+def sieve(n):
+    assert n > 1
+
+    ns = [True] * n
+
+    for i in range(2, math.ceil(np.sqrt(n))):
+        if ns[i]:
+            j = pow(i, 2)
+
+            while j < n:
+                ns[j] = False
+                j = j + i
+
+    return [i for i,val in enumerate(ns) if val][2:]
+
+def rotate(n):
+    if n < 10:
+        return n
+    else:
+        l = n % 10
+        return l * 10**(len(str(n)) - 1) + n // 10
+
+def isCircular(p, primes):
+    result = True
+
+    cur = rotate(p)
+    while cur != p:
+        if cur not in primes:
+            result = False
+            break
+        cur = rotate(cur)
+
+    return result
+
+def main():
+    print("Hello this is Patrick")
+
+    primes = sieve(1000000)
+    res = 0
+
+    for p in primes:
+        if isCircular(p, primes):
+            print(p)
+            res += 1
+    print("Number of circular primes:", res)
+
+if __name__ == "__main__":
+    main()