The solution should be within a page and please give full explanation.
The original question is,
What is $$\left(2018^{2019} + 2019^{2018}\right) \pmod{7} ?$$
The solution should be within a page and please give full explanation.
The original question is,
What is $$\left(2018^{2019} + 2019^{2018}\right) \pmod{7} ?$$
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Hint
$$2^3\equiv 1\pmod 7$$ and $$3^3\equiv -1\pmod 7$$