MathDB

1

Part of 2020 Swedish Mathematical Competition

Problems(1)

numbers of 1x2x3, 2x 3x4,..., 2020x 2021x2022 divisible by 2020

Source: 2020 Swedish Mathematical Competition p1

5/1/2021
How many of the numbers 1⋅2⋅31\cdot 2\cdot 3, 2⋅3⋅42\cdot 3\cdot 4,..., 2020⋅2021⋅20222020 \cdot 2021 \cdot 2022 are divisible by 20202020?
number theorydividesdivisible