How do I formally prove that 3 is a prime?

[frootloopers]

From the definition of a prime, we say p is a prime number when:
[MATH][p > 1 \land (\forall c \in Z, c|p \Rightarrow c = 1 \lor c = p)][/MATH]
How would I prove that the p=3 is prime?

 

[pka]

From the definition of a prime, we say p is a prime number when:
[MATH][p > 1 \land (\forall c \in Z, c|p \Rightarrow c = 1 \lor c = p)][/MATH]
How would I prove that the p=3 is prime?

Apply the definition.
Suppose that \(\displaystyle c|3~\&~c\ne 1\) can you show that \(\displaystyle c=3~?\)

 

[Steven G]

From the definition of a prime, we say p is a prime number when:
[MATH][p > 1 \land (\forall c \in Z, c|p \Rightarrow c = 1 \lor c = p)][/MATH]
How would I prove that the p=3 is prime?

As aka said, just use the definition!

 

[pka]

As aka said, just use the definition!

Who is aka? Usually "aka" means "also known as"

 

[Dr.Peterson]

Does pka mean "primarily known as"?

 

[pka]

Does pka mean "primarily known as"?

Absolutely yes!