MathDB

4.2

Part of 2013 Saudi Arabia Pre-TST

Problems(1)

if 2013 divides $x^{1433} + y^{1433} then divides also x^7 + y^7

Source: 2013 Saudi Arabia Pre-TST 4.2

9/13/2020
Let x,yx, y be two integers. Prove that if 20132013 divides x1433+y1433x^{1433} + y^{1433} then 20132013 divides x7+y7x^7 + y^7.
number theorydividesdivisible