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2022 CIIM
6
Interesting tau inequality involving factorials
Interesting tau inequality involving factorials
Source: CIIM 2022 #6
September 29, 2022
factorial
number theory
Problem Statement
Prove that
τ
(
(
n
+
1
)
!
)
≤
2
τ
(
n
!
)
\tau ((n+1)!) \leq 2 \tau (n!)
τ
((
n
+
1
)!)
≤
2
τ
(
n
!)
for all positive integers
n
n
n
.
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