Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem B. 4705. (April 2015)

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 pont)

Deadline expired on May 11, 2015.

### Statistics:

 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