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3
3
Part of
PEN O Problems
Problems
(1)
O 3
Source:
5/25/2007
Prove that the set of integers of the form
2
k
−
3
2^{k}-3
2
k
−
3
(
k
=
2
,
3
,
⋯
k=2,3,\cdots
k
=
2
,
3
,
⋯
) contains an infinite subset in which every two members are relatively prime.
Euler
induction
number theory
relatively prime