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Baltic Way
1992 Baltic Way
2
2
Part of
1992 Baltic Way
Problems
(1)
d(n) divides n
Source: Baltic Way 1992 #2
2/17/2009
Denote by
d
(
n
)
d(n)
d
(
n
)
the number of all positive divisors of a natural number
n
n
n
(including
1
1
1
and
n
n
n
). Prove that there are infinitely many
n
n
n
, such that
n
/
d
(
n
)
n/d(n)
n
/
d
(
n
)
is an integer.
number theory proposed
number theory