Question

A=2^2003+3^2003+4^2003+4^2003+5^2003+6^2003+7^2003. Nu este patrat perfect.

Answer 1

Răspuns:

U 2²⁰⁰³ = 8

2003 : 4 = 500 rest 3

U 3²⁰⁰³ = 7

2003 : 4 = 500 rest3

U 4²⁰⁰³ = 4

2003 : 2 = 1001 rest 1

U 4²⁰⁰³ = 4

U 5²⁰⁰³ = 5

U 6²⁰⁰³ = 6

U 7²⁰⁰³ = 3

2003 : 4 = 500 rest 3

A = 8 + 7 + 4 + 4 + 5 + 6 + 3

A = 37