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NZMOC Camp Selection Problems
2015 NZMOC Camp Selection Problems
8
8
Part of
2015 NZMOC Camp Selection Problems
Problems
(1)
n has a divisor d with the property that dn + 1 is a divisor of d^2 + n^2
Source: New Zealand NZMOC Camp Selection Problems 2015 p8
9/19/2021
Determine all positive integers
n
n
n
which have a divisor
d
d
d
with the property that
d
n
+
1
dn + 1
d
n
+
1
is a divisor of
d
2
+
n
2
d^2 + n^2
d
2
+
n
2
.
divides
divisible
divisor
number theory