Problem of the Block
Block 2
Powers of 3
Problem 1. Prove that there exist two powers of 3 whose difference is divisible by 2015.
Problem 2. Prove that there exists a power of three that ends with 001.
Turn in solutions to Dr. Skorczewski in Law 204 or by email at tskorczewski@cornellcollege.edu
by October 25. Solutions for only one of the questions or partial solutions will receive
credit (and are encouraged!). For more information about the Problem of the Block see
http://www.cornellcollege.edu/mathematics/problem-of-the-block/index.shtml.
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