Dodecahedral Prime or Square Sumdoku

Like with most other dodecahedral puzzles here, the goal is to fill in the numbers one through five so that each number appears exactly four times and no edge ends with cells of the same number.  Clues are given in the form of edges, which are colored red whenever the sum of the entries is prime, orange when the sum is a square, and yellow when it is neither.  Black edges contain no information, and are there to slightly increase the difficulty.

One cell is revealed at the start to ensure the solution is unique.  For a different type of puzzle, you may want to ask yourself why this is necessary in any puzzle with these rules, and what sort of number has to be revealed.

High quality PDF for printing with lettered clues.