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National and Regional Contests
Greece Contests
Greece National Olympiad
2023 Greece National Olympiad
2
2
Part of
2023 Greece National Olympiad
Problems
(1)
A classic NT but it can be generalised
Source: Greece National Olympiad 2023, Problem 2
2/19/2023
Find all positive integers
N
N
N
that are perfect squares and their decimal representation consists of
n
n
n
digits equal to 2 and one digit equal to 5, where
n
n
n
takes positive integer values.
number theory