Logic Masters Deutschland e.V.

Solve the puzzle on F-puzzles

The simple game of Tower of Hanoi comprises three towers, with three rings starting on one of the towers.
The game involves moving all three rings from one tower to another.
The rings are different sizes, and a larger ring is never on top of a smaller ring.
A move is of one ring from one tower to another.

On our Sudoku board, the start position of three rings is shown (green, yellow, red).
The towers are presented as thermometers.

Now, the rings all have digits on them. The smallest number on a ring is on the thermometer.
Additionally, the sum of each ring is a prime number, and the sum of the three rings is also a prime number.

When the rings are 'moved' to the other towers, if the ring hits the edge of the board, the part of the ring that is left will roll around to the other side of the board.
See the picture below, with a large ring moved to the left tower as an example:
After two moves, two of the rings will have moved to other towers.
Determine the prime numbers on the rings, and place the rings to solve the Sudoku puzzle.