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Junior Balkan MO
2014 Junior Balkan MO
1
JBMO 2014 #1 -- Equation with Prime Powers.
JBMO 2014 #1 -- Equation with Prime Powers.
Source:
June 23, 2014
modular arithmetic
Diophantine equation
Diophantine Equations
Problem Statement
Find all triples of primes
(
p
,
q
,
r
)
(p,q,r)
(
p
,
q
,
r
)
satisfying
3
p
4
−
5
q
4
−
4
r
2
=
26
3p^{4}-5q^{4}-4r^{2}=26
3
p
4
−
5
q
4
−
4
r
2
=
26
.
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