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Problems
Contests
National and Regional Contests
India Contests
India LIMIT
2020 LIMIT
2020 LIMIT Category 2
12
12
Part of
2020 LIMIT Category 2
Problems
(1)
GCD of all elements of {k^{19}-k: 1<k<20, k\in N}
Source: LIMIT 2020 Cat 2 Obj P12
6/9/2020
Let
A
A
A
be the set
{
k
19
−
k
:
1
<
k
<
20
,
k
∈
N
}
\{k^{19}-k: 1<k<20, k\in N\}
{
k
19
−
k
:
1
<
k
<
20
,
k
∈
N
}
. Let
G
G
G
be the GCD of all elements of
A
A
A
. Then the value of
G
G
G
is?
GCD
number theory
limit