Proth number

Definition

Suppose $\text{[math]}$ is a natural number and $\text{[math]}$ is a natural number such that $\text{[math]}$ . The Proth number with parameters $\text{[math]}$ and $\text{[math]}$ is defined as the number:

$\text{[math]}$ .

A Proth number that is also a prime is termed a Proth prime.

Relation with other properties

Stronger properties

Fermat number: The $\text{[math]}$ Fermat number is the Proth number with $\text{[math]}$ and $\text{[math]}$ .
Cullen number

Proth number

Definition

Relation with other properties

Stronger properties

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