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What is the remainder obtained when $$15^{23}+19^{23}$$ is divided by 17?

Note by Puneet Pinku
1 year, 2 months ago

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$$15^{23}+19^{23} \equiv (-2)^{23}+2^{23} \equiv -1((-2)^3)-1((2^3)) \equiv 0 \pmod{17}$$. · 1 year, 2 months ago