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Greece Team Selection Test
2011 Greece Team Selection Test
1
1
Part of
2011 Greece Team Selection Test
Problems
(1)
A Classic equation in primes
Source: Greek TST 2011-pr1
5/23/2016
Find all prime numbers
p
,
q
p,q
p
,
q
such that:
p
4
+
p
3
+
p
2
+
p
=
q
2
+
q
p^4+p^3+p^2+p=q^2+q
p
4
+
p
3
+
p
2
+
p
=
q
2
+
q
number theory
prime numbers