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Decomposition of a Cube into Nearly Equal Smaller Cubes 895 Peter Frankl, Amram Meir, and János Pach Self-Similar Polygonal Tiling 905 Michael Barnsley and Andrew Vince Brunn-Minkowski Theory and Cauchy's Surface Area Formula 922 Emmanuel Tsukerman and Ellen Veomett Absolute Real Root Separation 930 Yann Bugeaud, Andrej Dujella, Tomislav Pejkovic´, and Bruno Salvy "Lights Out" and Variants 937 Martin Kreh NOTES Squares in Arithmetic Progressions and Infinitely Many Primes 951 Andrew Granville Throwing a Ball as Far as Possible, Revisited 955 Joshua Cooper and Anton Swifton How Many Units Can a Commutative Ring Have? 960 Sunil K. Chebolu and Keir Lockridge A Constructive Elementary Proof of the Skolem-Noether 966 Theorem for Matrix Algebras Jeno˝ Szigeti and Leon van Wyk PROBLEMS AND SOLUTIONS 970 REVIEWS From Music to Mathematics: Exploring the Connections by Gareth E. Roberts 979 Evelyn Lamb Editor's Endnotes 983 Monthly Referees for 2017 986 MATHBIT 969, If the Primes are Finite, Then All of Them Divide the Number One An Official Publication of the Mathematical Association of America monthly THE AMERICAN MATHEMATICAL VO LU M E 1 24, N O. 1 0 D EC E M B E R 20 1 7

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