MathDB

4

Part of 2009 Spain Mathematical Olympiad

Problems(1)

x^2-y^4=2009 in integers

Source: Spain National Olympiad (OME) 2009, Problem 4

1/2/2010
Find all the integer pairs (x,y) (x,y) such that: x^2\minus{}y^4\equal{}2009
number theoryprime factorizationnumber theory proposed