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Ireland Contests
Ireland National Math Olympiad
2002 Irish Math Olympiad
3
triples
triples
Source: Ireland 2002
July 5, 2009
number theory unsolved
number theory
Problem Statement
Find all triples of positive integers
(
p
,
q
,
n
)
(p,q,n)
(
p
,
q
,
n
)
, with
p
p
p
and
q
q
q
primes, satisfying: p(p\plus{}3)\plus{}q(q\plus{}3)\equal{}n(n\plus{}3).
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