from itertools import permutations
numbers = "17"
nums = set()
for i in range(1, len(numbers) + 1):
for p in permutations(numbers, i):
nums.add(int("".join(p)))
count = 0
for n in nums:
if n < 2:
continue
is_prime = True
for i in range(2, int(n ** 0.5) + 1):
if n % i == 0:
is_prime = False
break
if is_prime:
count += 1
print(count)
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