A problem from the 2021 Moscow Math Olympiad went viral on Russian math channels. The author is Dmitry Krekov.
Problem. Does there exist a number A so that for any natural number n, there exists a square of a natural number that differs from the ceiling of An by 2?
Carl Feynman:
No.
4 April 2021, 6:35 pmMatthew Rose:
Yes.
19 April 2021, 5:38 am