Definition:Proth Prime

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Definition

A Proth prime is a Proth number which is also a prime.


Sequence of Proth Primes

The sequence of Proth primes begins:

$3, 5, 13, 17, 41, 97, 113, 193, 241, 257, 353, \ldots$


Examples

Proth Prime: $8423 \times 2^{59 \, 877} + 1$

The Proth number:

$8423 \times 2^{59 \, 877} + 1$

is a Proth prime.


Also see


Source of Name

This entry was named for Fran├žois Proth.


Sources