You have a bunch of marbles. Each is one of six colours: red, orange, yellow, green, blue, and violet. There is at least one marble of each colour.
1) The number of yellow marbles is the sum of two of the prime numbers of marbles.
2) The number of red, orange, and yellow marbles are the squares.
3) There are five blue marbles.
4) The total number of marbles is evenly divisible by four.
5) The number of violet marbles is the highest prime number of marbles.
6) The number of orange marbles is not four.
7) There are three colours where the number of marbles of that colour is a square and three where it is prime.
How many marbles of each colour do you have?
Submit your answer to Gene Wirchenko <email@example.com>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, February 12, 2014 at noon Pacific Time. I will post the answer shortly after.