def gen_fam(prime, swap): # generate candidates for being 8 family
c = 0
for digit in "0123456789":
n = int(prime.replace(swap, digit))
if n > 100000 and isprime(n):
c = c + 1
return c == 8
from pe import isprime
def gen_fam(prime, swap): # generate candidates for being 8 family
c = 0
for digit in "0123456789":
n = int(prime.replace(swap, digit))
if n > 100000 and isprime(n):
c = c + 1
return c == 8
primes = []
for x in range(100000, 1000000): # generate list of primes
if isprime(x):
primes.append(x)
for prime in primes: # it
if prime > 100000:
primestr = str(prime)
last_digit = primestr[5:6]
if (
primestr.count("0") == 3
and gen_fam(primestr, "0")
or primestr.count("1") == 3
and last_digit != "1"
and gen_fam(primestr, "1")
or primestr.count("2") == 3
and gen_fam(primestr, "2")
):
print "Answer to PE51: ", primestr