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National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
2013 Spain Mathematical Olympiad
4
4
Part of
2013 Spain Mathematical Olympiad
Problems
(1)
Expressing n as a^3+b^5+c^7+d^9+e^11
Source: Spanish Mathematical Olympiad 2013. Problem 4.
3/26/2015
Are there infinitely many positive integers
n
n
n
that can not be represented as
n
=
a
3
+
b
5
+
c
7
+
d
9
+
e
11
n = a^3+b^5+c^7+d^9+e^{11}
n
=
a
3
+
b
5
+
c
7
+
d
9
+
e
11
, where
a
,
b
,
c
,
d
,
e
a,b,c,d,e
a
,
b
,
c
,
d
,
e
are positive integers? Explain why.
number theory
representation