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Nigeria Contests
Nigerian Senior Mathematics Olympiad Round 3
2021 Nigerian MO Round 3
Problem 1
Triples of primes
Triples of primes
Source: 2021 Nigerian MO Round 3/P1
December 19, 2022
number theory
Diophantine equation
primes
Problem Statement
Find all triples of primes
(
p
,
q
,
r
)
(p, q, r)
(
p
,
q
,
r
)
such that
p
q
=
2021
+
r
3
p^q=2021+r^3
p
q
=
2021
+
r
3
.
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