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import re
from sympy import nextprime
import decimal
def get_repeating_pattern(what):
with decimal.localcontext() as ctx:
ctx.prec = 100
big_reverse = str(decimal.Decimal(1) / decimal.Decimal(what))
repeating = re.findall(r'(.+?)\1', big_reverse)
try:
return len(repeating[0])
except IndexError:
return 0
def is_long_prime(what):
repeats = get_repeating_pattern(what)
if repeats > 1 and repeats == what - 1:
return 1
return 0
def generate_long_primes():
""" Generate the primes for the challenge """
primes_count = 0
at_prime = 0
result = []
while primes_count < 5:
at_prime = nextprime(at_prime)
if is_long_prime(at_prime):
primes_count += 1
result.append(at_prime)
return result
assert get_repeating_pattern(7) == 6
assert get_repeating_pattern(17) == 16
assert is_long_prime(7) == 1
assert is_long_prime(17) == 1
assert is_long_prime(2) == 0
assert generate_long_primes() == [7, 17, 19, 23, 29]
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