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KoMaL A Problems
KoMaL A Problems 2019/2020
A. 769
A. 769
Part of
KoMaL A Problems 2019/2020
Problems
(1)
Problem of Number Theory
Source:
3/24/2021
Find all triples
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of distinct positive integers so that there exists a subset
S
S
S
of the positive integers for which for all positive integers
n
n
n
exactly one element of the triple
(
a
n
,
b
n
,
c
n
)
(an,bn,cn)
(
an
,
bn
,
c
n
)
is in
S
S
S
.Proposed by Carl Schildkraut, MIT
number theory