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National and Regional Contests
Kosovo Contests
Kosovo Team Selection Test
2024 Kosovo Team Selection Test
P1
P1
Part of
2024 Kosovo Team Selection Test
Problems
(1)
p^q +5q -2 being a prime
Source: Kosovo TST 2024 P1
3/19/2024
Find all prime numbers
p
p
p
and
q
q
q
such that
p
q
+
5
q
ā
2
p^q + 5q - 2
p
q
+
5
q
ā
2
is also a prime number.
number theory
prime
primes
Kosovo