Solution
$$4^{61} + 4^{62} + 4^{63} + 4^{64}$$
Taking $$4^{61}$$ common from the above expression, we get :
=> $$4^{61}$$ ($$4^{0}$$ + $$4^{1}$$ + $$4^{2}$$ + $$4^{3}$$)
=> $$4^{61}$$ (1 + 4 + 16 + 64) = $$4^{61}$$ * 85
$$\because$$ 85 is divisible by 17
=> $$4^{61} + 4^{62} + 4^{63} + 4^{64}$$ is divisible by 17
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