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Baltic Way
2018 Baltic Way
16
Primes and perfect squares
Primes and perfect squares
Source: Baltic Way 2018, Problem 16
November 6, 2018
number theory
prime numbers
Problem Statement
Let
p
p
p
be an odd prime. Find all positive integers
n
n
n
for which
n
2
−
n
p
\sqrt{n^2-np}
n
2
−
n
p
is a positive integer.
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