MathDB
Problems
Contests
National and Regional Contests
Korea Contests
Korea Winter Program Practice Test
2016 Korea Winter Program Practice Test
2
Similar to that IMO problem
Similar to that IMO problem
Source: 2016 Korea Winter Camp 2nd Test #6
January 25, 2016
number theory
Problem Statement
Find all pairs of positive integers
(
n
,
t
)
(n,t)
(
n
,
t
)
such that
6
n
+
1
=
n
2
t
6^n+1=n^2t
6
n
+
1
=
n
2
t
, and
(
n
,
29
×
197
)
=
1
(n,29 \times 197)=1
(
n
,
29
×
197
)
=
1
Back to Problems
View on AoPS