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Baltic Way
2017 Baltic Way
17
Equation with factorial
Equation with factorial
Source: Baltic Way 2017
November 11, 2017
number theory
factorial
equation
Problem Statement
Determine whether the equation
x
4
+
y
3
=
z
!
+
7
x^4+y^3=z!+7
x
4
+
y
3
=
z
!
+
7
has an infinite number of solutions in positive integers.
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