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On divisors of n
On divisors of n
Source:
September 8, 2010
number theory
Divisors
equation
IMO Shortlist
Problem Statement
Find all positive integers
n
n
n
such that
n
=
d
6
2
+
d
7
2
−
1
,
n=d_6^2+d_7^2-1,
n
=
d
6
2
+
d
7
2
−
1
,
where
1
=
d
1
<
d
2
<
⋯
<
d
k
=
n
1 = d_1 < d_2 < \cdots < d_k = n
1
=
d
1
<
d
2
<
⋯
<
d
k
=
n
are all positive divisors of the number
n
.
n.
n
.
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