|Number of||Proven infinite|
|Description||A prime whose digit sum is a prime is an additive prime|
|First Few||2, 3, 5, 7, 11, 23|
Additive primes can be defined as prime numbers where the sum of its digits is a prime number.
- For example, 29 is a prime number. 2+9=11.
- 11 is a prime number. 1+1=2.
- 2 is also a prime number. 0+2=2.
- Therefore, 29, 11 and 2 are all additive primes.