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2003 Federal Math Competition of S&M
Problem 1
2011 as sum of 10 4th powers
2011 as sum of 10 4th powers
Source: Serbia 2003 1st Grade P1
May 12, 2021
number theory
Diophantine equation
Problem Statement
Find the number of solutions to the equation
x
1
4
+
x
2
4
+
…
+
x
10
4
=
2011
x_1^4+x_2^4+\ldots+x_{10}^4=2011
x
1
4
+
x
2
4
+
…
+
x
10
4
=
2011
in the set of positive integers.
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