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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
31
31
Part of
PEN A Problems
Problems
(1)
A 31
Source:
5/25/2007
Show that there exist infinitely many positive integers
n
n
n
such that
n
2
+
1
n^{2}+1
n
2
+
1
divides
n
!
n!
n
!
.
Diophantine equation
Divisibility Theory
pen