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Vojtěch Jarník IMC
2015 VJIMC
2
VJIMC 2015 Category II, Problem 2
VJIMC 2015 Category II, Problem 2
Source: VJIMC2015
August 10, 2015
number theory
modular arithmetic
college contests
real analysis
Problem Statement
Problem 2 Determine all pairs
(
n
,
m
)
(n, m)
(
n
,
m
)
of positive integers satisfying the equation
5
n
=
6
m
2
+
1
.
5^n = 6m^2 + 1\ .
5
n
=
6
m
2
+
1
.
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