Is there any proof of infinitude of http://oeis.org/A007500 primes.
If you want to generate them here is trivial and naive python program.
def is_prime(n):
i = 2
while i*i <= n:
if n%i == 0:
return False
i = i + 1
else:
return True
print [x for x in range(1,200) if is_prime(x) and is_prime(int(str(x)[::-1]))]