Definition:Proth Prime

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

• Definition:Proth Number
• Proth's Theorem

Source of Name

This entry was named for François Proth.

Sources

• Weisstein, Eric W. "Proth Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ProthPrime.html