Fermat prime
From Number
This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
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Definition
A Fermat prime is a Fermat number that is also a prime number. In other words, it is a prime number of the form 
, where 
is a nonnegative integer.
It turns out that if 
is prime for 
a natural number, then 
for some nonnegative integer . Thus, a Fermat prime can also be defined as a prime of the form for some natural number .
