MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2016 Postal Coaching
5
Simple diophantine equation
Simple diophantine equation
Source: India Postal Set 3 P 5 2016
January 18, 2017
number theory
Diophantine equation
Problem Statement
Find all nonnegative integers
k
,
n
k, n
k
,
n
which satisfy
2
2
k
+
1
+
9
ā
2
k
+
5
=
n
2
.
2^{2k+1} + 9\cdot 2^k + 5 = n^2.
2
2
k
+
1
+
9
ā
2
k
+
5
=
n
2
.
Back to Problems
View on AoPS