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Albania Contests
Albania Team Selection Test
2011 Albania Team Selection Test
4
4
Part of
2011 Albania Team Selection Test
Problems
(1)
find all primes p such that 2^p+p^2 is also prime
Source: Albanian IMO 2011 TST
5/27/2011
Find all prime numbers p such that
2
p
+
p
2
2^p+p^2
2
p
+
p
2
is also a prime number.
modular arithmetic
number theory
number theory unsolved