12+22+12 - divisible by 3
22+22+22 - divisible by 3
12+12+12 - divisible by 3
22+22+12 - divisible by 3
Did i convince you now?
No? Then you probably forgot ak CANNOT BE 0 UNLESS ONE OF THE NUMBERS IS 3. BUT THAT MEANS P=3 BECAUSE P IS THE SMALLEST AND 3 IS THE SMALLEST POSSIBLE PRIME (we cant use 2)