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The measures of a triangle whose sides are chosen at random are \(a, b < 1 \) and \(c = 1 \).

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a) I know that \(2018^{76} \equiv 76 \text{ mod (100)}\), and the smallest natural number \(n > 1\) such that ...

In the grid below, the number in each cell represents the number of neighboring cells which are shaded, including the diagonals but not including the cell itself: ...

We define a sequence by recurrence as \(a_1 = 2018\) and \(a_{n + 1} = 2018^{a_n}\) for all natural number \(n \ge 1\). What are the 5 last digits of ...

Among all the triangles with a same side \(a = 2018\) units, and opposite angle \( \angle A = \frac{19 \pi}{2018}\) radians, the measure of the largest angle of that with ...

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