Rebased projecteuler folder, now includes all contest programming stuff

projecteuler/041/main.py

@@ -0,0 +1,49 @@
+'''
+We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once. For example, 2143 is a 4-digit pandigital and is also prime.
+
+What is the largest n-digit pandigital prime that exists?
+'''
+
+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 isPandigital(n):
+    l = len(str(n))
+
+    digits = set(range(1, l+1))
+
+    if digits == set(map(int, str(n))):
+        return True
+    return False
+
+def main():
+    print("Hello this is Patrick")
+
+    primes = sieve(987654321)
+
+    print("Calculated enough primes")
+
+    r = 1
+
+    while not isPandigital(primes[-1 * r]):
+        r += 1
+    
+    print(primes[-1 * r])
+
+if __name__ == "__main__":
+    main()