How many prime numbers are there such that the sum of all its digits is equal to 3?

Question

How many prime numbers are there such that the sum of all its digits is equal to 3?

Answer 1

the number 3

maybe 111? 1011?, 100011?10000100001?

201?

20001?

20000001?

nope just the number 3

if digits sum to 3, it's divisible by 3 and composite, not prime, except for the single digit number 3