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1965 Poland - Second Round
4
4p^2 + 1 and 6p^2 + 1 are also primes
4p^2 + 1 and 6p^2 + 1 are also primes
Source: Polish MO Second Round 1965 p4
August 31, 2024
number theory
primes
Problem Statement
Find all prime numbers
p
p
p
such that
4
p
2
+
1
4p^2 + 1
4
p
2
+
1
and
6
p
2
+
1
6p^2 + 1
6
p
2
+
1
are also prime numbers.
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