# Fourth Powers which are Sum of 4 Fourth Powers/Examples/651

## Examples of Fourth Powers which are Sum of 4 Fourth Powers

$651^4 = 240^4 + 340^4 + 430^4 + 599^4$

## Proof

 $\displaystyle 240^4 + 340^4 + 430^4 + 599^4$ $=$ $\displaystyle 3 \, 317 \, 760 \, 000$ $\displaystyle$  $\, \displaystyle + \,$ $\displaystyle 13 \, 363 \, 360 \, 000$ $\displaystyle$  $\, \displaystyle + \,$ $\displaystyle 34 \, 188 \, 010 \, 000$ $\displaystyle$  $\, \displaystyle + \,$ $\displaystyle 128 \, 738 \, 157 \, 601$ $\displaystyle$ $=$ $\displaystyle 179 \, 607 \, 287 \, 601$ $\displaystyle$ $=$ $\displaystyle 651^4$

$\blacksquare$