Problem by Michał Balcerek, Hanna Loch-Olszewska and Tomasz Żórawik (22.06.2017) solved by Terence Tao (29.09.2017)

The problem was posed on 22.06.2017 by Michał Balcerek, Hanna Loch-Olszewska and Tomasz Żórawik (PhD students of Hugo Steinhaus Center of Wroclaw University of Technology). See page 37 of Volume 1 of the Lviv Scottish Book.

Prize: a bottle of drinking honey.

Solved by Terence Tao on 29.09.2017.
https://mathoverflow.net/questions/282259/is-the-series-sum-n-sin-nn-n-convergent

The prize was presented to Terence Tao at the conference "Numbers in the Universe" (7-11 August 2023, Warsaw).
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