Database
ELEMENTARY NUMBER THEORY
Elementary prime number theory
Specific prime numbers
9nprm
Next ⟩
10nprm
Metamath Proof Explorer
Ascii
Structured
Theorem
9nprm
Description:
9 is not a prime number.
(Contributed by
Mario Carneiro
, 18-Feb-2014)
Ref
Expression
Assertion
9nprm
⊢
¬ 9 ∈ ℙ
Proof
Step
Hyp
Ref
Expression
1
3nn
⊢
3 ∈ ℕ
2
1lt3
⊢
1 < 3
3
3t3e9
⊢
( 3 · 3 ) = 9
4
1
1
2
2
3
nprmi
⊢
¬ 9 ∈ ℙ