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Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2017 India PRMO
29
29
Part of
2017 India PRMO
Problems
(1)
Number Theory
Source: PRMO 2017
9/16/2017
For each positive integer
n
n
n
, consider the highest common factor
h
n
h_n
h
n
of the two numbers
n
!
+
1
n!+1
n
!
+
1
and
(
n
+
1
)
!
(n+1)!
(
n
+
1
)!
. For
n
<
100
n<100
n
<
100
, find the largest value of
h
n
h_n
h
n
.
number theory