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27
2007 Guts #27: Sums of Sixth Powers
2007 Guts #27: Sums of Sixth Powers
Source:
June 22, 2012
modular arithmetic
Problem Statement
Find the number of
7
7
7
-tuples
(
n
1
,
…
,
n
7
)
(n_1,\ldots,n_7)
(
n
1
,
…
,
n
7
)
of integers such that
∑
i
=
1
7
n
i
6
=
96957.
\sum_{i=1}^7 n_i^6=96957.
i
=
1
∑
7
n
i
6
=
96957.
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