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Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1972 Canada National Olympiad
5
5
Part of
1972 Canada National Olympiad
Problems
(1)
No solution in positive integers
Source: Canada 1972, Problem 5
6/24/2006
Prove that the equation
x
3
+
1
1
3
=
y
3
x^3+11^3=y^3
x
3
+
1
1
3
=
y
3
has no solution in positive integers
x
x
x
and
y
y
y
.
modular arithmetic
Euler