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2007 Pre-Preparation Course Examination
16
2^2^n+2^2^{n-1}+1-Iran 3rd round-Number Theory 2007
2^2^n+2^2^{n-1}+1-Iran 3rd round-Number Theory 2007
Source:
July 28, 2010
induction
AMC
USA(J)MO
USAMO
number theory unsolved
number theory
Problem Statement
Prove that
2
2
n
+
2
2
n
ā
1
+
1
2^{2^{n}}+2^{2^{{n-1}}}+1
2
2
n
+
2
2
n
ā
1
+
1
has at least
n
n
n
distinct prime divisors.
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