Definitions
In mathematics, additive primes are prime numbers for which the sum of their decimal digits are also primes.



Task
Write a program to determine (and show here) all additive primes less than 500.

Optionally, show the number of additive primes.



Also see

   the OEIS entry:   A046704 additive primes.
   the prime-numbers entry:   additive primes.
   the geeks for geeks entry: additive prime number.
   the prime-numbers fandom: additive primes.


 
limit = 500
additivePrimes = list(filter(lambda x: x > 0,
                             list(map(lambda x: int(x) if sum([int(digit) for digit in x]) in Primes() else 0, 
                                      list(map(str,list(primes(1,limit))))))))
print(f"{additivePrimes}\nFound {len(additivePrimes)} additive primes less than {limit}")
 