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Czech-Polish-Slovak Match
2019 Czech-Austrian-Polish-Slovak Match
2
2
Part of
2019 Czech-Austrian-Polish-Slovak Match
Problems
(1)
Sum of squares of its divisors
Source: Czech-Polish-Slovak Match 2019 P2
7/15/2019
We consider positive integers
n
n
n
having at least six positive divisors. Let the positive divisors of
n
n
n
be arranged in a sequence
(
d
i
)
1
≤
i
≤
k
(d_i)_{1\le i\le k}
(
d
i
)
1
≤
i
≤
k
with 1=d_1
n
n
n
such that
n
=
d
5
2
+
d
6
2
.
n=d_5^2+d_6^2.
n
=
d
5
2
+
d
6
2
.
number theory