\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the remainder of the Euclidean division of \(7^{100}\) by \(5\). Hint. Use \(7 \equiv 2 \pmod 5\) and find a small power of \(2\) congruent to \(1\) modulo \(5\).
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