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2004 Silk Road
2
International competition SRMC 2004 P-2
International competition SRMC 2004 P-2
Source:
September 7, 2010
number theory proposed
number theory
Problem Statement
find all primes
p
p
p
, for which exist natural numbers, such that
p
=
m
2
+
n
2
p=m^2+n^2
p
=
m
2
+
n
2
and
p
∣
(
m
3
+
n
3
−
4
)
p|(m^3+n^3-4)
p
∣
(
m
3
+
n
3
−
4
)
.
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