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34
A 34
A 34
Source:
May 25, 2007
Divisibility Theory
Problem Statement
Let
p
1
,
p
2
,
⋯
,
p
n
p_{1}, p_{2}, \cdots, p_{n}
p
1
,
p
2
,
⋯
,
p
n
be distinct primes greater than
3
3
3
. Show that
2
p
1
p
2
⋯
p
n
+
1
2^{p_{1}p_{2}\cdots p_{n}}+1
2
p
1
p
2
⋯
p
n
+
1
has at least
4
n
4^{n}
4
n
divisors.
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