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2024 Nepal Mathematics Olympiad (Pre-TST)
Problem 4
NMO (Nepal) Problem 4
NMO (Nepal) Problem 4
Source:
March 17, 2024
number theory
Problem Statement
Find all integer/s
n
n
n
such that
5
n
−
1
3
\displaystyle{\frac{5^n-1}{3}}
3
5
n
−
1
is a prime or a perfect square of an integer.Proposed by Prajit Adhikari, Nepal
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