Question

Scrieti numarul 29 la 2001 ca o suma de trei patrate perfecte.

Answer 1

29^2001 = 
= 29^(2000 + 1 ) =
= 29 * 29^2000 = 
= ( 4 + 9 + 16 ) * 29^2000 =
= ( 2^2 + 3^2 + 4^2 ) * 29^2000 =
= 2^2 * 29^2000 + 3^2 * 29^2000 + 4^2 *i 29^2000 =
= ( 2 * 29^1000 )^2  +  ( 3 * 29^1000 )^2 + ( 4 * 29^1000 )^2