# Author: Jonas Reitz(Page 2 of 10)

This assignment is the final deliverable for your project (worth 10 points).  It is an individual, not a group, assignment and should be submitted by email, not on the OpenLab.

The Semester Project consisted of a number of related activities and assignments â€“ before you begin writing, please take a look at the list and click each of the links to remind yourself  of all the parts of the project.

## Class Info

• Date:Â Tuesday, 12/7/20, 4:05 – 5:45pm
• Meeting Info:Â The class will meet live on zoom today.

Theorem NT 5.1: Every natural number $n>1$ is either prime or divisible by a prime.

Theorem NT 5.2: Suppose $p$ is prime and $a_{1}, a_{2}, a_{3}, \ldots, a_{n}$ are $n$ integers, where $n \geq 2$. If $p \mid a_{1} \cdot a_{2} \cdot a_{3} \cdot \ldots \cdot a_{n},$ then $p \mid a_{i}$ for at least one of the $a_{i}(1 \leq i \leq n)$.

Theorem NT 5.3: If $n$ is an integer greater than 1 then $n$ can be written as a product of primes.
(HINT: Prove using strong induction. Consider two cases, when $k+1$ is prime, and when it is composite)

## Class Info

• Date: Tuesday, 12/2/21, 4:05 – 5:45pm
• Meeting Info: The class will meet live on zoom today.

## Class Info

• Date: Tuesday, 11/30/21, 4:05 – 5:45pm
• Meeting Info: The class will meet live on zoom.

Hi everyone,

The group process paper will be worth 35 points towards your Project grade. Â Once you turn in your final draft, I will be filling out the sheet below for each paper submitted. Â Please let me know if you have any questions.

Best,
Prof. Reitz