MathDB
Problems
Contests
National and Regional Contests
Iran Contests
Iran Team Selection Test
2010 Iran Team Selection Test
12
12
Part of
2010 Iran Team Selection Test
Problems
(1)
Sum of digits in [Iran TST 2010]
Source:
5/10/2010
Prove that for each natural number
m
m
m
, there is a natural number
N
N
N
such that for each
b
b
b
that
2
≤
b
≤
1389
2\leq b\leq1389
2
≤
b
≤
1389
sum of digits of
N
N
N
in base
b
b
b
is larger than
m
m
m
.
algebra
polynomial
function
number theory proposed
number theory