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37.py
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import numpy
a = 1000000
def primes(n):
""" Returns a list of primes < n """
sieve = [True] * n
for i in xrange(3,int(n**0.5)+1,2):
if sieve[i]:
sieve[i*i::2*i]=[False]*((n-i*i-1)/(2*i)+1)
return [2] + [i for i in xrange(3,n,2) if sieve[i]]
# test if prime
def is_prime(n):
for i in range(2, n):
if n % i == 0:
return False
return True
# test if truncatable
def is_trun(n):
n = map(int, str(n))
n2 = [g for g in n if g != 4 and g != 6 and g != 8]
if len(n2) == len(n) and len(n2) > 1 and n2[0] != 1 and n2[len(n2)-1] != 1 and n2[0] != 9 and n2[len(n2)-1] != 9:
for i in range(1,len(n2)):
g = int(''.join(map(str, map(int, n))[i:]))
if is_prime(g) is False:
return False
break
g = int(''.join(map(str, map(int, n))[:i]))
if is_prime(g) is False:
return False
break
return True
return False
k = [g for g in prime if is_trun(g)]
print k