Jagan ,India .
general Paramatric solution for Prouhet-Tarry-Escott Problem.
general solution for degree K=5.
{2by+y ,yb+x , xb+2x , 2bx+y+2x ,yb+2bx+2y+x, 2by+bx+2y } = {2y+by ,y+bx , x+2bx, 2x+by+2bx ,y+2x+2by+bx ,2y+x+2by}
And also I observed some interesting new properties in Magic squares.
equal sums like powers properties:
- {492, 276, 618, 834}
- {294, 438, 816, 672}.
Tarry-Escott Solution:
- 4923 + 2763 + 6183 + 8343 = 2943 + 4383 + 8163 + 6723.
- 4922 + 2762 + 6182 + 8342 = 2942 + 4382 + 8162 + 6722
- 4921 + 2761 + 6181 + 8341 = 2941 + 4381 + 8161 + 6721
These are aesthetically pleasing palindromic results