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Baltic Way
2003 Baltic Way
19
19
Part of
2003 Baltic Way
Problems
(1)
a^3+b^3 is a square [Baltic Way 2003]
Source:
11/7/2010
Let
a
a
a
and
b
b
b
be positive integers. Show that if
a
3
+
b
3
a^3+b^3
a
3
+
b
3
is the square of an integer, then
a
+
b
a + b
a
+
b
is not a product of two different prime numbers.
number theory unsolved
number theory