diff --git a/51.py b/51.py new file mode 100644 index 0000000..ffeb922 --- /dev/null +++ b/51.py @@ -0,0 +1,27 @@ +import itertools as it +import gmpy2 + +length = 6 +repeats = 3 +permupattern = [0, 0, 0, 1, 1, 1] +familysize = 8 +patterns = list(set(list(it.permutations(permupattern, length)))) +digits = list(it.product(range(0, 10), repeat=length-repeats)) + +for pattern in patterns: + for digit in digits: + family = [] + for i in range(0, 10): + numlist = [] + count = 0 + for p in pattern: + if p: + numlist.append(i) + else: + numlist.append(digit[count]) + count += 1 + num = int(''.join(map(str, numlist))) + if len(str(num)) == length: + family.append(num) + if family and len(filter(lambda n: gmpy2.is_prime(n), family)) == familysize: + print family