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Thailand Online MO
2021 Thailand Online MO
P2
P2
Part of
2021 Thailand Online MO
Problems
(1)
if gcd$(x,n)=1$, then gcd$(x+101,n)=1$.
Source: Thailand Online MO 2021 P2
4/5/2021
Determine all integers
n
>
1
n>1
n
>
1
that satisfy the following condition: for any positive integer
x
x
x
, if gcd
(
x
,
n
)
=
1
(x,n)=1
(
x
,
n
)
=
1
, then gcd
(
x
+
101
,
n
)
=
1
(x+101,n)=1
(
x
+
101
,
n
)
=
1
.
number theory