Irrationally, Can This Happen?
Number Theory
Level
4
True or False?
The infinite sequence \[\big\lfloor 1\times \sqrt{ 2017 } \big\rfloor,\ \big\lfloor 2 \times \sqrt{ 2017 } \big\rfloor,\ \big\lfloor 3 \times \sqrt{ 2017 } \big\rfloor,\ \big\lfloor 4 \times \sqrt{ 2017 } \big\rfloor,\ \ldots\] contains infinitely many perfect squares.
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Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.
by
Calvin Lin