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Eotvos Mathematical Competition (Hungary)
1896 Eotvos Mathematical Competition
1
1
Part of
1896 Eotvos Mathematical Competition
Problems
(1)
If $k$ is the number of distinct prime divisors of a natural number $n$, prove t
Source: Eotvos 1896 p1
3/14/2020
If
k
k
k
is the number of distinct prime divisors of a natural number
n
n
n
, prove that log
n
≥
k
n \geq k
n
≥
k
log
2
2
2
.
algebra
inequalities