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ELEMENTARY NUMBER THEORY
Elementary prime number theory
Specific prime numbers
9nprm
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10nprm
Metamath Proof Explorer
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Unicode
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