Antoine has three tomato plants. The total number of tomatoes on all his plants is \(41\), and one of his plants has exactly \(4\) more tomatoes than another plant. If the number of tomatoes on each plant is a prime number, determine all possibilities for the number of tomatoes on each plant.
Note: A prime number is an integer greater than \(1\) that has only two positive factors: \(1\) and itself. The number \(17\) is prime because its only positive factors are \(1\) and \(17\).
Theme: Number Sense