Upload to Canvas a PDF scan of your written work to problems 1 and
2.
- Install R and then install
RStudio on your favorite computer. Inside RStudio, install the
library
gmp and test some of the examples from the
notes.
- Find the last digit of \(2^{10000}\) (i.e., the oneโs digit). Use
any method. Explain how you found your answer.
- Which of the following equations have integer solutions?
For each equation, find an integer solution or explain why no such
solution exists.
- \(2x + 3 \equiv 1 \pmod 9\)
- \(2x + 3 \equiv 1 \pmod 8\)
- \(2x + 3 \equiv 2 \pmod 8\)