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29
A 29
A 29
Source:
May 25, 2007
Divisibility Theory
Problem Statement
For which positive integers
k
k
k
, is it true that there are infinitely many pairs of positive integers
(
m
,
n
)
(m, n)
(
m
,
n
)
such that
(
m
+
n
−
k
)
!
m
!
n
!
\frac{(m+n-k)!}{m! \; n!}
m
!
n
!
(
m
+
n
−
k
)!
is an integer?
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