![]() Good luck, and share the ones that you find with me. Haven't pursued it yet, but since there are thousands of solutions to this puzzle, I assume that there would be other sequences which produced a prime also. I first came across this curious little fact at the Prime Curios page. Peg solitaire, also called Chinese Checkers, is a game of luck and skill. ![]() By the way, if you only sum the values of the landing holes, that's prime also (73). Not only does this solution leave the final peg in the original empty hole, but the sum of all the x,y hole numbers in the solution is prime (179) and if I time this right it should be first posted on the 179th day of the year 2012. If you number the holes starting at an apex of the triangle with one, then two and three on the next row, and continue with 11 through 15 on the bottom row, then moves can be described with (x,y) coordinates where the term (x,y) means move the peg in hole x to hole y.Ī winning solution to the 15-hole triangular peg solitaire game using this method is: (4,1), (6,4), (15,6), (3,10), (13,6), (11,13), (14,12), (12,5), (10,3), (7,2), (1,4), (4,6), (6,1). Peg Solitaire is also known as Sailors Solitaire and is a single-player game where players try to remove all pegs except one from the center. The solution I just came across is for the case in which you start with the top corner (the one hole) empty, and finish with a single peg in that hole (which I just learned is called a single vacancy complement solution). The truth is, there are thousands of possible solutions to the game. The hardest place to begin is with the missing peg at one of the green interior holes.
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