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China Team Selection Test
2017 China Team Selection Test
4
number theory from China TST
number theory from China TST
Source: China TST 4 Problem 4
March 22, 2017
number theory
China TST
kobayashi
Problem Statement
Given integer
d
>
1
,
m
d>1,m
d
>
1
,
m
,prove that there exists integer
k
>
l
>
0
k>l>0
k
>
l
>
0
, such that
(
2
2
k
+
d
,
2
2
l
+
d
)
>
m
.
(2^{2^k}+d,2^{2^l}+d)>m.
(
2
2
k
+
d
,
2
2
l
+
d
)
>
m
.
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