IMO 2006 Shortlist N1

Determine all pairs (x,y) of integers satisfying the equation 1 + 2x + 22x+1 = y2 . (USA)

imomathematicsolympiadshortlistnumber-theory

IMO 2006 Shortlist N1

Category: Number Theory

Problem

Determine all pairs (x,y) of integers satisfying the equation 1 + 2x

  • 22x+1 = y2 . (USA)