MathDB
Problems
Contests
National and Regional Contests
Saudi Arabia Contests
Saudi Arabia JBMO TST
2022 Saudi Arabia JBMO TST
1
p^5 + p^3 + 2 = q^2 - q
p^5 + p^3 + 2 = q^2 - q
Source: 2022 Saudi Arabia JBMO TST 2.1
November 3, 2022
number theory
Diophantine equation
Problem Statement
Find all pairs of positive prime numbers
(
p
,
q
)
(p, q)
(
p
,
q
)
such that
p
5
+
p
3
+
2
=
q
2
ā
q
.
p^5 + p^3 + 2 = q^2 - q.
p
5
+
p
3
+
2
=
q
2
ā
q
.
Back to Problems
View on AoPS