Metamath Proof Explorer


Theorem 65537prm

Description: 65537 is a prime number (thefifth Fermat prime). (Contributed by AV, 28-Jul-2021)

Ref Expression
Assertion 65537prm 6 5 5 3 7 ∈ ℙ

Proof

Step Hyp Ref Expression
1 fmtno4 ( FermatNo ‘ 4 ) = 6 5 5 3 7
2 fmtno4prm ( FermatNo ‘ 4 ) ∈ ℙ
3 1 2 eqeltrri 6 5 5 3 7 ∈ ℙ