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.
View other properties of prime numbers | View other properties of natural numbers
A natural number of the form is termed a Euclid number, so a Euclid prime is a Euclid number that happens to be prime.
The ID of the sequence in the Online Encyclopedia of Integer Sequences is A018239
The initial values of Euclid numbers are prime. For , the corresponding Euclid numbers are prime. The first Euclid number that is not prime is , corresponding to .