11 Apr
2008
11 Apr
'08
3:56 p.m.
Paul, Never seen it before, but it surely can't be new???? Let's try it on the math-fun network. R. On Fri, 11 Apr 2008, Paul Muljadi wrote:
Professor Guy,
Have you seen a Prouhet-Tarry-Escott solution in the Lo Shu square?
4 9 2 3 5 7 8 1 6
The two number sets from the magic square are obtained by combining numbers of last rows and last columns in the clockwise and anticlockwise directions: {492, 276, 618, 834} and {294, 438, 816, 672}.
Tarry-Escott solution: 492^1 + 276^1 + 618^1 + 834^1 = 294^1 + 438^1 + 816^1 + 672^1 492^2 + 276^2 + 618^2 + 834^2 = 294^2 + 438^2 + 816^2 + 672^2 492^3 + 276^3 + 618^3 + 834^3 = 294^3 + 438^3 + 816^3 + 672^3.
If you have, who discovered it first?
Paul Muljadi