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
