Each of the letters should be replaced by a different digit from 1 to 9 to satisfy this alphanumeric equation:

 A     C     E
--- + --- + --- = 1, with A > C > E
 B     D     F

Can you solve it, knowing that if I told you whether CA is a prime number or not, you would be able to tell me all the other letters?

Note: CA denotes the concatenation of the digits.