MathDB
Problems
Contests
National and Regional Contests
India Contests
Chennai Mathematical Institute B.Sc. Entrance Exam
2024 CMI B.Sc. Entrance Exam
5
Standard Diophentine with a trap
Standard Diophentine with a trap
Source: CMI 2024
May 19, 2024
Diophantine equation
number theory
algebra
Problem Statement
Find all solutions for positive integers
(
x
,
y
,
k
,
m
)
(x,y,k,m)
(
x
,
y
,
k
,
m
)
such that
20
x
k
+
24
y
m
=
2024
20x^k+24y^m = 2024
20
x
k
+
24
y
m
=
2024
with
k
,
m
>
1
k, m > 1
k
,
m
>
1
Back to Problems
View on AoPS