MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Moldova Team Selection Test
2001 Moldova Team Selection Test
5
5
Part of
2001 Moldova Team Selection Test
Problems
(1)
A very nice problem
Source: ab divides a^2+b^2+1
6/12/2009
Find
a
,
b
,
c
ā
N
a,b,c \in N
a
,
b
,
c
ā
N
such that
a
b
ab
ab
divides a^2\plus{}b^2\plus{}1.
number theory proposed
number theory