Mathematical and Physical Journal
for High Schools
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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.


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