We determine the Sprague-Grundy value for the Common Divisor Nimm (CDNm for short) for m∈Z≥1, which is called COMMON DIVISOR game in [ANW, Chapter 2, Exercise 8 (p.55)].
Cite
@article{arxiv.2312.05466,
title = {Sprague-Grundy Value for Common Divisor Nim},
author = {Ryotaro Nohagi},
journal= {arXiv preprint arXiv:2312.05466},
year = {2023}
}