MathDB
Problems
Contests
International Contests
Silk Road
2008 Silk Road
1
1
Part of
2008 Silk Road
Problems
(1)
Silk road mathematical Olympiad _P1
Source:
4/21/2008
Suppose
a
,
c
,
d
ā
N
a,c,d \in N
a
,
c
,
d
ā
N
and d|a^2b\plus{}c and d\geq a\plus{}c Prove that d\geq a\plus{}\sqrt[2b] {a}
number theory proposed
number theory