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B. 4705. Let $\displaystyle p$ denote an odd prime number. Show that the equation $\displaystyle x^2 + px = y^2$ has exactly one solution on the set of pairs of positive integers.

Suggested by: B. Németh, Budapest

(4 points)

Deadline expired on 11 May 2015.

Statistics on problem B. 4705.
 96 students sent a solution. 4 points: 54 students. 3 points: 9 students. 2 points: 6 students. 1 point: 11 students. 0 point: 16 students.

• Problems in Mathematics of KöMaL, April 2015

•  Támogatóink: Morgan Stanley