MathDB

3

Part of 2004 ITAMO

Problems(1)

can it be xpressed as sum of two squares

Source: ItaMO 2004, p3

3/3/2012
(a) Is 200520042005^{2004} the sum of two perfect squares? (b) Is 200420052004^{2005} the sum of two perfect squares?
modular arithmeticnumber theory proposednumber theory