Primes, composite numbers, FTA, pythagorean triples Flashcards
1
Q
Define a prime.
A

2
Q
Finish the following lemma.

A

3
Q
Prove the following lemma.

A

4
Q
What is a corollary to the following lemma?

A

5
Q
Prove the following corollary.

A

6
Q
What is the fundamental theorem of arithmetic (FTA)?
A

7
Q
Prove the following theorem.

A

8
Q
What is the theorem about the total number of primes?
A

9
Q
Prove the following theorem.

A

10
Q
Finish the following proposition.

A

11
Q
Prove the following theorem.

A

12
Q
What is Dirichlet’s theorem?
A

13
Q
Define a pythagorean triple and when it is primitive.
A

14
Q
If (x,y,z) is a primitive triple what do x and y have to be?
A
One odd, one even
15
Q
What is the theorem about the form of primitive Pythagorean triples?
A

16
Q
What is Fermat’s theorem?
A

17
Q
A