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Finds bidirectionally-truncatable primes
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def mark(sieve, x): | |
for i in xrange(2*x, len(sieve), x): | |
sieve[i] = False | |
sieve = [True] * 1000001 | |
sieve[0], sieve[1] = False, False | |
for x in xrange(2, int(len(sieve) ** 0.5) + 1): | |
if sieve[x]: | |
mark(sieve, x) | |
def check_rtl(n): | |
while n > 0: | |
if sieve[n]: | |
n = n/10 | |
else: | |
return False | |
return True | |
def check_ltr(n): | |
place = len(str(n)) - 1 | |
while n > 0: | |
if sieve[n]: | |
n = n % 10**place | |
place -= 1 | |
else: | |
return False | |
return True | |
counter = 0 | |
i = 11 # smallest two-digit prime | |
while counter < 11: # total number of bi-truncatable primes | |
if check_rtl(i) and check_ltr(i): | |
print(i) | |
counter += 1 | |
i += 1 |
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