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Easy triplets of positive integers
Easy triplets of positive integers
Source:
October 22, 2010
number theory unsolved
number theory
Problem Statement
How many ordered triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers are there such that none of
a
,
b
,
c
a, b, c
a
,
b
,
c
exceeds
2010
2010
2010
and each of
a
,
b
,
c
a, b, c
a
,
b
,
c
divides
a
+
b
+
c
a + b + c
a
+
b
+
c
?
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