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Nepal Contests
Nepal National Olympiad
2024 Nepal Mathematics Olympiad (Pre-TST)
Problem 4
Problem 4
Part of
2024 Nepal Mathematics Olympiad (Pre-TST)
Problems
(1)
NMO (Nepal) Problem 4
Source:
3/17/2024
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
number theory