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2018 Turkey Junior National Olympiad
1
1
Part of
2018 Turkey Junior National Olympiad
Problems
(1)
Common divisors of a,b anda 2a+3b
Source: Turkey Junior Math Olympiad 2018 #1 question
1/6/2019
Let
s
(
n
)
s(n)
s
(
n
)
be the number of positive integer divisors of
n
n
n
. Find the all positive values of
k
k
k
that is providing
k
=
s
(
a
)
=
s
(
b
)
=
s
(
2
a
+
3
b
)
k=s(a)=s(b)=s(2a+3b)
k
=
s
(
a
)
=
s
(
b
)
=
s
(
2
a
+
3
b
)
.
Turkey
Divisors
number theory