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2019 Cono Sur Olympiad
4
4
Part of
2019 Cono Sur Olympiad
Problems
(1)
2019 Cono Sur Mathematical Olympiad, P4
Source:
8/28/2019
Find all positive prime numbers
p
,
q
,
r
,
s
p,q,r,s
p
,
q
,
r
,
s
so that
p
2
+
2019
=
26
(
q
2
+
r
2
+
s
2
)
p^2+2019=26(q^2+r^2+s^2)
p
2
+
2019
=
26
(
q
2
+
r
2
+
s
2
)
.
number theory
primes
Diophantine equation
cono sur