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0233 number theory 2nd edition Round 3 p3

Source:

May 10, 2021

number theory2nd edition

Problem Statement

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

, where by

S(x)

we denote the sum of digits of a positive integer

x

.

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