def eul32():
""""Find the sum of all products whose multiplicand/multiplier/product identity can be written as a
1 through 9 pandigital."""
products = set()
for product in range(1000, 10000):
if len(set(eul.get_digits(product))) == len(str(product)):
for i in eul.get_proper_divisors(product):
j = int(product / i)
test = ''.join([str(i), str(j), str(i*j)])
if len(test) == 9 and eul.pandigital(test):
products.add(i*j)
return sum(products)
def eul41():
"""What is the largest n-digit pandigital prime that exists?"""
for p in range(7654321, 1, -2):
if eul.pandigital(p, 7) and eul.prime(p):
return p
