No, but you just discovered a hidden nerd-bait joke from the show's creators. One of the guys working on the show created some sort of program that could generate close-but-not-quite solutions. The one shown here isn't actually equal, but they are close enough that the difference won't show up without a more precise calculator, since both sides are roughly 6.397665635 x 10^43^.

3987^12^ + 4365^12^ = 63 976 656 349 698 612 616 236 230 953 154 487 896 987 106

4472^12^ = 63 976 656 348 486 725 806 862 358 322 168 575 784 124 416

EDIT: I should have read the other comments. Looks like I'm late to the party.