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2023-24 IOQM India
4
IOQM 2023-24 P-4
IOQM 2023-24 P-4
Source:
September 3, 2023
number theory
Divisibility
diophantine
IOQM 2023
Problem Statement
Let
x
,
y
x, y
x
,
y
be positive integers such that
x
4
=
(
x
−
1
)
(
y
3
−
23
)
−
1.
x^4=(x-1)\left(y^3-23\right)-1 .
x
4
=
(
x
−
1
)
(
y
3
−
23
)
−
1.
Find the maximum possible value of
x
+
y
x+y
x
+
y
.
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