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Hanoi Open Mathematics Competition 2010 Senior Question 1

HOMC · Hanoi Open Mathematics Competition 2010 Senior

Question 1

The number of integers $n\in[2000,2010]$ 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.