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2007 Argentina National Olympiad
1
p^2+q=37q^2+p
p^2+q=37q^2+p
Source: Argentina 2007 OMA L3 p1
May 12, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Find all the prime numbers
p
p
p
and
q
q
q
such that
p
2
+
q
=
37
q
2
+
p
p^2+q=37q^2+p
p
2
+
q
=
37
q
2
+
p
. Clarification:
1
1
1
is not a prime number.
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