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2011 Saudi Arabia Pre-TST
3.4
x^3 + y^3 = n! + 4
x^3 + y^3 = n! + 4
Source: 2011 Saudi Arabia Pre-TST February 3.4
January 1, 2022
number theory
Problem Statement
Find all positive integers
n
n
n
for which the equation
x
3
+
y
3
=
n
!
+
4
x^3 + y^3 = n! + 4
x
3
+
y
3
=
n
!
+
4
has solutions in integers.
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