3.3

Part of MathLinks Contest 2nd

Problems(1)

0233 number theory 2nd edition Round 3 p3

Source:

Prove that for every positive integer

m

there exists a positive integer N such that

S(2^n) > m

for every positive integer

n > N

S(x)

we denote the sum of digits of a positive integer

x

number theory2nd edition