MathDB
Problems
Contests
International Contests
Tournament Of Towns
2009 Tournament Of Towns
3
Four positive integers - TT 2009 Senior-O3
Four positive integers - TT 2009 Senior-O3
Source:
September 3, 2010
number theory proposed
number theory
Problem Statement
Are there positive integers
a
;
b
;
c
a; b; c
a
;
b
;
c
and
d
d
d
such that
a
3
+
b
3
+
c
3
+
d
3
=
10
0
100
a^3 + b^3 + c^3 + d^3 =100^{100}
a
3
+
b
3
+
c
3
+
d
3
=
10
0
100
?(4 points)
Back to Problems
View on AoPS