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Hanoi Open Mathematics Competition 2010 Junior Question 2

HOMC · Hanoi Open Mathematics Competition 2010 Junior

Question 2

The number of integers $n$ from the set $\{2000,2001,\ldots,2010\}$ such that $2^{2n}+2^n+5$ is divisible by $7$ is:
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. None of the above.