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Regional Mathematical Olympiad
2013 India Regional Mathematical Olympiad
2
Indian RMO - Paper 3
Indian RMO - Paper 3
Source: RMO- Problem 2
December 11, 2013
number theory unsolved
number theory
Problem Statement
Find all
4
4
4
-tuples
(
a
,
b
,
c
,
d
)
(a,b,c,d)
(
a
,
b
,
c
,
d
)
of natural numbers with
a
≤
b
≤
c
a \le b \le c
a
≤
b
≤
c
and
a
!
+
b
!
+
c
!
=
3
d
a!+b!+c!=3^d
a
!
+
b
!
+
c
!
=
3
d
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